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Many hominin species are best physically represented and understood by the sum of their dental morphologies. Generally, taxonomic affinities and evolutionary trends in development (ontogeny) and morphology (phylogeny) can be deduced from dental analyses. More specifically, the study of dental remains can yield a wealth of information on many facets of hominin evolution, life history, physiology and ecological adaptation; in short, the organisms paleobiomics. Functionally, teeth present information about dietary preferences, that is, the dietary niche in ecological context and, in turn, masticatory function. As the amount and types of information that can be gleaned from 2-dimensional tooth measurement exhaust themselves, 3-dimensional microscopic modeling and analysis presents a largely fertile ground for reexamination and reinterpretation of dental characteristics (Bromage et al., 2005). As such, a novel, non-destructive approach has been developed which combines the work of two established technologies (confocal microscopy and 3D modeling) adapted specifically for the purpose of mineralized tissue imaging. Through this method, 3D functional masticatory and therefore occlusal molar microwear is able to be visualized, quantified and comparatively analyzed to assess dietary preference in Javanese Homo erectus. This method differs from other microwear investigative techniques (defining 'pits'- vs- 'scratches', microtexture analysis etc.) in that it defines a molars masticatory microwear functional interactions in 3-dimensions as its baseline dataset for further interpretations and analyses. Due to poor specimen collection techniques employed during the first half of the 20th century, the very complex geologic nature of the Sangiran Dome and disagreements over its chronostratigraphy, only very few scientific works have addressed the Sangiran 7 (S7) Homo erectus molar collection (n=25) (e.g. Grine and Franzen, 1994; Kaifu, 2006). Grine and Franzen's (1994) work was a predominantly qualitative initial assessment of the specimens and identified five specimens that might better be ascribed to a fossil pongid rather than H. erectus. They also noted several molars to which tooth position (M1 or M2) was unable to be ascribed (Grine and Franzen, 1994). Kaifu (2006) comparatively examined crown sizes in several S7 molars.
The Sangiran 7 collection originates from two distinct geologic horizons: ten from the older Sangiran Formation (S7a, ~1.7 to 1.0mya) and fifteen from the younger, overlying Bapang Formation (S7b, ~1.0 to .7mya). During this million year period, Java was connected to the mainland during various glacio-eustatic low-stands in sea level. These mainland connections varied in size, extent, climatic condition and therefore in faunal and floral composition. As the S7 sample may be representative of the earliest Homo erectus migrants into Java and spans long durations of occupation, its investigation yields potential to understand the various influences climatic and ecogeographic fluctuations had on these populations. Since the sample consists only of teeth, an ecodietary approach has been deemed the most logical and appropriate investigative approach. Questions regarding the intra- and inter- S7 sample
relationships will also be addressed.
By comparing various aspects of the H. erectus dentition against that of hunter/ gatherer's (H/G) whose diet is known, functional dietary similarity can be directly correlated. Thus a comparative molar sample consisting of the below historic hunter/ gather's (n=63) has been included in order to assess H. erectus's diet in ecological context: Inuit (n=9), Pacific Northwest Tribes (n=11), Fuegians (n=11), Australian Aborigines (n=12) and Bushman (n=20). Methodologically, this approach produces a 3D facet microwear vector (fmv) signature for each molar which can then be compared for statistical similarity.
Microwear (and, as such, the fmv signatures) was defined by the regular, parallel striations found on specific cusp facets known to arise from patterned, directional masticatory movements. This differs significantly from post-mortem or taphonomic microwear which produces striations at irregular angles on multiple, non-masticatory surfaces (Peuch et al.1985, Teaford, 1988). A 'match value' is produced to determine the similarity of two molars fmv's. The 'match values' are ranked (high to low) and these rankings are used to statistically analyze and infer dietary preference: between Sangiran 7 (as an entire sample) compared against that of the historic hunter/ gatherer H. sapiens whose diet and ecogeography is known; within S7a and S7b and then among the S7 sample (eg. S7a-vs-S7b); whether the purported Pongo molars actually affiliate well with H. erectus, the hunter-gatherer's or if they demonstrate distinctly different fmv signatures altogether; whether fmv signatures are useful in distinguishing molars whose tooth position is in doubt (eg. M1 or M2).
When compared against individual H/G molars, the results show that Sangiran 7 H. erectus most closely correlates with Bushmen across all areas of fmv signature analysis. However, within broader dietary categories (yearly reliant on proteinaceous foods; seasonally reliant on proteinaceous foods; not reliant on proteinaceous foods), it was found that H. erectus most closely allied with the two hunter/ gatherer subpopulations associated with the 'Seasonally reliant on proteinaceous foods' (Australian Aboriginals and Pacific Northwest Tribes). There was also evidence for dietary change or specialization over time. As the environment changed during occupation by the earlier Sangiran to the later Bapang individuals, the dietary preference shifted from a focus on vegetative foods to a diet much more inclusive of proteinaceous resources.
These results are considered logical within the larger ecogeographic and chronostratigraphic context of the Sangiran Dome during the Pleistocene. However, a larger sample would be needed to confirm this. Although general dietary preferences can be drawn from this method, it is not possible at present to define specific foods consumed on a daily basis (eg. tubers or tortoise meat).
Out of the five specimens possibly allied with Pongo, S7-14 matched at the 'high' designation with a hunter/ gatherer, S7-62 matched 'moderately', S7-20 matched 'low' while the remaining two were not able to be matched with any other teeth for various reasons. Although designation to Pongo cannot be ruled on at this time using this method, it does demonstrate that at least two of the teeth correlate well with various hunter/ gatherer's who do not share dietary similarity with Pongo. This suggests their designation as Pongo should be more closely reevaluated. As for the four specimens whose tooth position was unsure, S7-14 matched 'highly' with 1st molars, S7-62 and S7-78 matched 'moderately' with 2nd and 1st molars respectively while S7-20 only matched at the 'low' designation. Although this approach is still exploratory, it adds another analytical tool for use in defining tooth position.
In sum, this method has demonstrated its usefulness in defining and functionally analyzing a novel 3D molar microwear dataset to interpret dietary preference. Future work would include a pan- H. erectus molar sample in order to illuminate broader populational, taxonomic and dietary correlations within and amoung all H. erectus specimens. A larger, more heterogenous historic H/G sample would also be included in order to provide a wider dietary comparative population. This method can be further extended to include and compare any and all hominins as well as any organism which produces micro wear upon it molars. Also, the data obtained and resultant fmv signature diagrams have the potential to be incorporated into 3D VR reconstructions of mandibular movement thus recreating mastication in extinct organisms and leading to more robust anatomical and physiological investigations especially when viewed in the context of larger environmental conditions or changes.
The Earth’s surface condition we find today is a result of long exposure to metabolism of life forms. Particularly, molecular oxygen in the atmosphere is a feature which developed over time. The first substantial and lasting rise of atmospheric oxygen level happened ≈ 2.5 Ga ago, but localities are reported where transiently elevated oxygen levels appeared before this time-point. To trace the timing and circumstances of the earliest availability of free oxygen in the atmosphere is important to understand the habitats of early microbial life forms on Earth.
This thesis focuses to obtain information of oxygen levels and the related atmospheric cycling of metals in sediments of the 3.5 to 3.2 Ga Barberton Greenstone Belt. First, as iron was a ubiquitous constituent of Archean seawater, I investigated its isotopic composition in minerals of chemical sediments. Hereby, I tried to resolve the changes within the water basin on small scale sedimentary sequence cycles. Second, I focused on the minor constituents of Archean seawater. The Re-Os geochronologic system and the abundance patterns of the platinum-group elements were chosen to integrate information of oxygen promoted weathering of a large source area. To integrate information of a large time interval, the isotopes of uranium were investigated over a large stratigraphic section.
The two key findings of this thesis are:
• Quantitative oxidation of ferrous iron in surface layers of Paleoarchean seawater occurred during the onset and termination of hydrothermal FeIIaq delivery into shallow waters.
• Paleoarchean sedimentary successions of the Barberton Greenstone Belt lack any evidence of transient basin-scale oxygenation.
The Manzimnyama Iron Formation (IF, Fig Tree Group, Barberton Greenstone Belt, South Africa) has been deciphered to exist of cyclic stacks of lithostratigraphic units with varying amounts of iron oxide and carbonate minerals. In-situ femtosecond-Laser-Ablation ICP-MS iron isotope measurements showed that the majority of siderite (γ56Fe ≈ −0.5 ‰) precipitated directly from seawater of γ56Fe ≈ 0 ‰. Ferric iron from the surface layers is preserved in ≤ 1μ m hematite and in magnetite that has been grown within the consolidated sediment. During FeIIaq events, fine-grained hematite (γ56Fe ≈ 2.2 ‰) and magnetite (γ56Fe 0.5 to 0.8 ‰) indicate oxygen levels in surface waters of lower than 0.0002 μM. Upon onset and termination of iron oxide abundance, magnetite with γ56Fe ≈ 0 ‰ indicates that low concentrations of FeIIaq in surface waters were oxidized quantitatively. These observations demonstrate the existence of iron oxidation in Paleoarchean surface waters independent of FeIIaq concentration. This is the first investigation of Paleoarchean IF showing that lithostratigraphic cyclicity can be traced in iron isotopic composition of oxide minerals.
ID-ICP-MS measurement of Re, Ir, Ru, Pt and Pd, trace element (SF-ICP-MS) and ID-MCICP- MS uranium isotope determination have been applied to carbonaceous shale of the Mapepe Fm. (Fig Tree Group) after inverse Aqua Regia leaching and bulk digestion. The sediments reveal a silicified fraction which exhibits a seawater REE signature and a mixture of detrital and meteoritic PGE. Neither enrichment of the redox-sensitive elements Re or Mo nor fractionated uranium isotopes have been found on a stratigraphic interval of several hundred meters. The non-silica fraction shows no depletion of Re which indicates that the detrital material had no contact to oxidizing fluids. ID-TIMS measurements of Re and Os after the CrO3-SO4 Carius Tube method of two sample intervals showed that the Re-Os isotopic systems of the non-silica fractions are identical to two komatiite occurrences. Weltevreden Fm. and Komati Fm. rocks were uplifted, eroded and transported to the deep part of the sedimentary basin without any change to the Re-Os system. Negative fractionated uranium isotopes (γ238U = −0.41 ± 0.01 ‰) associated with detrital Ba-Cr-U occurrences suggest the existence of distal redox-processes that involve uranium species. This study demonstrates that over the time of exposure and deposition of the Mapepe Fm. sedimentation, free oxygen was not available for weathering in the catchment area.
A multiple filter test for the detection of rate changes in renewal processes with varying variance
(2014)
The thesis provides novel procedures in the statistical field of change point detection in time series.
Motivated by a variety of neuronal spike train patterns, a broad stochastic point process model is introduced. This model features points in time (change points), where the associated event rate changes. For purposes of change point detection, filtered derivative processes (MOSUM) are studied. Functional limit theorems for the filtered derivative processes are derived. These results are used to support novel procedures for change point detection; in particular, multiple filters (bandwidths) are applied simultaneously in oder to detect change points in different time scales.
In light of the global sea-level rise and climate change of the 21th century, it is important to look back into the recent past in order to understand what the future might hold. A multi-proxy data set was compiled to evaluate the influence of geomorphological and environmental factors, such as antecedent topography, subsidence, sea level and climate, on reef, sand apron and lagoon development in modern carbonate platforms through the Holocene. Therefore, a combination of remote sensing and morphological data from 122 modern carbonate platforms and atolls in the Atlantic, Indian and Pacific Oceans were conducted, along with a case study from the oceanic (Darwinian) barrier-reef system of Bora Bora, French Polynesia, South Pacific.
The influence of antecedent topography and platform size as factors controlling Holocene sand apron development and extension in modern atolls and carbonate platforms is hypothesized. Antecedent topography describes the elevation and relief of the underlying Pleistocene topography (karst) and determines the distance from the sea floor to the rising postglacial sea level. Maximum lagoon depth and marginal reef thickness, when available in literature, were used as proxies for antecedent topography. Sand apron proportions of 122 atolls and carbonate platforms from the Atlantic, Indian and Pacific Oceans were quantified and correlated to maximum lagoon depth, total platform area and marginal reef thickness. This study shows that sand apron proportions increase with decreasing lagoon depths. Sand apron proportions also increase with decreasing platform area. The interaction of antecedent topography and Holocene sea-level rise is responsible for variations in accommodation space and at least determines the extension of the lateral expansion of sand aprons. In general, sand apron formation started when marginal reefs approached relative sea level. Spatial and regional variations in sea-level history let sand apron formation start earlier in the Indo-Pacific region (transgressive-regressive) than in the Western Atlantic Ocean (transgressive).
The influence of sea level, antecedent topography and subsidence of a volcanic island on late Quaternary reef development was evaluated based on six rotary core transects on the barrier and fringing reefs of Bora Bora. This study was designed to revalue the Darwinian model, the subsidence theory of reef development, which genetically connects fringing reef, barrier reef and atoll development by continuous subsidence of the volcanic basement. Postglacial sea-level rise, and to a minor degree subsidence, were identified as major factors controlling Holocene reef development in that they have created accommodation space and controlled reef architecture. Antecedent topography was also an important factor because the Holocene barrier reef is located on a Pleistocene barrier reef forming a topographic high. Pleistocene soil and basalt formed the pedestal of the fringing reef. Uranium-Thorium dating shows that barrier and fringing reefs developed contemporaneously during the Holocene.
In the barrier–reef lagoon of Bora Bora, the influence of environmental factors, such as sea level and climate, tsunamis and tropical cyclones controlling Holocene sediment dynamics was evaluated based on sedimentological, paleontological, geochronological and geochemical data. The lagoonal succession comprises mixed carbonate-siliciclastic sediments overlying peat and Pleistocene soil. The multi-proxy data set shows variations in grain-size, total organic carbon (proxy for primary productivity), Ca and Cl element intensities (proxies for carbonate availability and lagoonal salinity) during the mid-late Holocene. These patterns could result from event sedimentation during storms and correlate to event deposits found in nearby Tahaa, probably induced by elevated cyclone activity. Accordingly, elevated erosion and runoff from the volcanic island and lower lagoonal salinity would be a result of rainfall during repeated cyclone landfall. However, Ti/Ca and Fe/Ca ratios as proxies for terrigenous sediment delivery peaked out in the early Holocene and declined since the mid-Holocene. Benthic foraminifera assemblages do not indicate reef-to-lagoon transport. Alternatively, higher and sustained hydrodynamic energy is probably induced by stronger trade winds and a higher-than-present sea level during the mid-late Holocene. The increase in mid-late Holocene sediment dynamics within the back-reef lagoon is supposed to display sediment-load shedding of sand aprons due to the oversteepening of slopes at sand apron/lagoon edges during their progradation rather than an increase in tropical storm activity during that time.
The influence of sea-level and climate changes on sediment import, composition and distribution in the Bora Bora lagoon during the Holocene is validated. Lagoonal facies succession comprises siderite-rich marly wackestones, foraminifera-siderite wackestones, mollusk-foraminifera marly packstones and mollusk-rich wackestones during the early-mid Holocene, and mudstones since the mid-late Holocene. During the early Holocene, enhanced weathering and iron input from the volcanic island due to wetter climate conditions led to the formation of siderite within the lagoonal sediments. The geochemical composition of these siderites shows that precipitation was driven by microbial activity and iron reduction in the presence of dissolved bicarbonate. Chemical substitutions at grain margins illustrate changes in the oxidation state and probably reflect changes in pore water chemistry due to sea-level rise and climate change (rainfall). In the late Holocene, sediment transport into the lagoon is hampered by motus on the windward side of the lagoon, which led to early submarine lithification within the lagoon.
How the brain evolved remains a mystery. The goal of this thesis is to understand the fundamental processes that are behind the evolutionary history of the brain. Amniotes appeared 320 million years ago with the transition from water to land. This early group bifurcated into sauropsids (reptiles and birds) and synapsids (mammals). Amniote brains evolved separately and display obvious structural and functional differences. Although those differences reflect brain diversification, all amniote brains share a common ancestor and their brains show multiple derived similarities: equivalent structures, networks, circuits and cell types have been preserved during millions of years. Finding these differences and similarities will help us understand brain historical evolution and function. Studying brain evolution can be approached from various levels, including brain structure, circuits, cell types, and genes. We propose a focus on cell types for a more comprehensive understanding of brain evolution. Neurons are the basic building blocks and the most diverse cell types in the brain. Their evolution reflects changes in the developmental processes that produce them, which in turn may shape the neural circuits they belong to. However, there is currently a lack of a unified criteria for studying the homology of connectivity and development between neurons. A neuron’s transcriptome is a molecular representation of its identity, connectivity, and developmental/evolutionary history. Hence the comparison of neuronal transcriptomes within and across species is a new and transformative development in the study of brain evolution. As an alternative, comparing neuronal transcriptomes across different species can provide insights into the evolution of the brain. We propose that comparing transcriptomes can be a way to fill this gap and unify these criteria. In previous studies, published in Science (Tosches et al., 2018) and Nature (Norimoto et al., 2020), we leveraged scRNAseq in reptiles to re-evaluate the origins and evolution of the mammalian cerebral cortex and claustrum. Motivated by the success of this approach, in this thesis we have now expanded single-cell profiling to the entire brain of a lizard species, the Australian dragon Pogona vitticeps, with a special focus in thalamus and prethalamus of. This approach allowed us to study the evolution of neuron types in amniotes. Therefore, we aimed to build a multilevel atlas of the lizard brain based on histology and transcriptomic and compare it to an equal mouse dataset (Zeisel et al., 2018).
Our atlas reveals a general structure that is consistent with that for other amniote brains, allowing us to make a direct comparison between lizard and mouse, despite their evolutionary divergence 320 million years ago. Through our analysis of the transcriptomes present in various neuron types, we have uncovered a core of conserved classes and discovered a fascinating dichotomy of new and conserved neuron types throughout the brain. This research challenges the traditional notion that certain brain regions are more conserved than others.
Our research also has uncovered the evolutionary history of the lizard thalamus and prethalamus by comparing them to homologous brain regions of the mouse. This pioneering research sheds new light on our understanding of the evolutionary history of the lizard brain. We propose a new classification of the lizard thalamic nuclei based on
transcriptomics. Our research revealed that the thalamic neuron types in lizards can be grouped into two large, conserved categories from the medial to lateral thalamus. These categories are encoded by a common set of effector genes, linking theories based on connectivity and molecular studies of these areas. In our data we have seen that there is a conservation of the medial-lateral transcriptomic axis in mouse and lizard, this conservation was most likely already present in the common ancestor. Although there is a shared medial-lateral axis, a deeper study of the thalamic cell types has allowed us to see the existence of a partial diversification of the thalamic population, specifically in the sensory-related lateral thalamus; in opposition, the medial thalamic nuclei neuron-types have been preserved.
On the other hand, the comparison with the mammalian prethalamus allowed us to confirm that the lizard ventromedial thalamic neuron types are homologous to mouse reticular thalamic neuron types (Díaz et al., 1994), even if they do not express the classical Reticular thalamic nucleus (RTn) marker PV/pvalb. We also discovered that there has been a simplification in the mammalian prethalamic neuron types in favor of an increase in the number of Interneurons (IN) types within their thalamus. We suggest that the loss of GABAergic neuronal types in the mammalian prethalamus is linked to the need for a more efficient control of the thalamo-pallial communication in mammals, while in lizards, where thalamo-pallial communication is probably simpler, the diversity prethalamus presents a higher diversity.
The aim of this work is to develop an effective equation of state for QCD, having the correct asymptotic degrees of freedom, to be used as input for dynamical studies of heavy ion collisions. We present an approach for modeling an EoS that respects the symmetries underlying QCD, and includes the correct asymptotic degrees of freedom, i.e. quarks and gluons at high temperature and hadrons in the low-temperature limit. We achieve this by including quarks degrees of freedom and the thermal contribution of the Polyakov loop in a hadronic chiral sigma-omega model. The hadronic part of the model is a nonlinear realization of an sigma-omega model. As the fundamental symmetries of QCD should also be present in its hadronic states such an approach is widely used to describe hadron properties below and around Tc. The quarks are introduced as thermal quasi particles, coupling to the Polyakov loop, while the dynamics of the Polyakov loop are controlled by a potential term which is fitted to reproduce pure gauge lattice data. In this model the sigma field serves a the order parameter for chiral restoration and the Polyakov loop as order parameter for deconfinement. The hadrons are suppressed at high densities by excluded volume corrections. As a next step, we introduce our new HQ model equation of state in a microscopic+macroscopic hybrid approach to heavy ion collisions. This hybrid approach is based on the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) transport approach with an intermediate hydrodynamical evolution for the hot and dense stage of the collision. The present implementation allows to compare pure microscopic transport calculations with hydrodynamic calculations using exactly the same initial conditions and freeze-out procedure. The effects of the change in the underlying dynamics - ideal fluid dynamics vs. non-equilibrium transport theory - are explored. The final pion and proton multiplicities are lower in the hybrid model calculation due to the isentropic hydrodynamic expansion while the yields for strange particles are enhanced due to the local equilibrium in the hydrodynamic evolution. The elliptic and directed flow are shown to be not sensitive to changes in the EoS while the smaller mean free path in the hydrodynamic evolution reflects directly in higher flow results which are consistent with the experimental data. This finding indicates qualitatively that physical mechanisms like viscosity and other non equilibrium effects play an essentially more important role than the EoS when bulk observables like flow are investigated. In the last chapter, results for the thermal production of MEMOs in nucleus-nucleus collisions from a combined micro+macro approach are presented. Multiplicities, rapidity and transverse momentum spectra are predicted for Pb+Pb interaction at different beam energies. The presented excitation functions for various MEMO multiplicities show a clear maximum at the upper FAIR energy regime making this facility the ideal place to study the production of these exotic forms of multistrange objects.
Synchronized neural activity in the visual cortex is associated with small time delays (up to ~10 ms). The magnitude and direction of these delays depend on stimulus properties. Thus, synchronized neurons produce fast sequences of action potentials, and the order in which units tend to fire within these sequences is stimulusdependent, but not stimulus-locked. In the present thesis, I investigated whether such preferred firing sequences repeat with sufficient accuracy to serve as a neuronal code. To this end, I developed a method for extracting the preferred sequence of firing in a group of neurons from their pair-wise preferred delays, as measured by the offsets of the centre peaks in their cross-correlation histograms. This analysis method was then applied to highly parallel recordings of neuronal spiking activity made in area 17 of anaesthetized cats in response to simple visual stimuli, like drifting gratings and moving bars. Using a measure of effect size, I then analyzed the accuracy with which preferred firing sequences reflected stimulus properties, and found that in the presence of gamma oscillations, the time at which a unit fired in the firing sequence conveyed stimulus information almost as precisely as the firing rate of the same unit. Moreover, the stimulus-dependent changes in firing rates and firing times were largely unrelated, suggesting that the information they carry is not redundant. Thus, despite operating at a time scale of only a few milliseconds, firing sequences have the strong potential to provide a precise neural code that can complement firing rates in the cortical processing of stimulus information.
This thesis examines the literary output of German servicemen writers writing from the occupied territories of Europe in the period 1940-1944. Whereas literary-biographical studies and appraisals of the more significant individual writers have been written, and also a collective assessment of the Eastern front writers, this thesis addresses in addition the German literary responses in France and Greece, as being then theatres of particular cultural/ideological attention. Original papers of the writer Felix Hartlaub were consulted by the author at the Deutsches Literatur Archiv (DLA) at Marbach. Original imprints of the wartime works of the subject writers are referred to throughout, and citations are from these. As all the published works were written under conditions of wartime censorship and, even where unpublished, for fear of discovery written in oblique terms, the texts were here examined for subliminal authorial intention. The critical focus of the thesis is on literary quality: on aesthetic niveau, on applied literary form, and on integrity of authorial intention. The thesis sought to discover: (1) the extent of the literary output in book-length forms. (2) the auspices and conditions under which this literary output was produced. (3) the publication history and critical reception of the output. The thesis took into account, inter alia: (1) occupation policy as it pertained locally to the writers’ remit; (2) the ethical implications of this for the writers; (3) the writers’ literary stratagems for negotiating the constraints of censorship.
In literary translation 'correctness' is rarely ratified by linguistic rules; it is more often a question of what a sensitive translator feels to be correct. Intuition will therefore play a major part. This intuition is seen here neither as instinctive reaction prompted by experience, nor as native competence, but as an inquiring, self-moderating influence inspired by the language itself. It is treated in this respect as an informed intuition, that is, as having a linguistic base for sensitive judgement. This assumes that the literary translator is both a creative writer and his own critical reader as well as a fine judge of language potential. This line is applied to translating meaning and sense, transferring the very language, imitating the form and style, re-creating the features, and above all, to capturing those unique qualities of the original. After dealing with word-accuracy, the question of literary input demanded by form and style is examined. The treatment of language used for effect features in a section on Kafka. The merits and the problems of translating dialect as dialect for its own sake are looked at closely and in a positive way as are the possibilities of reproducing 'oddities' of language. The immense task of translating the language of Joyce ('Ulysses ') with all its vagaries and skilful manipulation of words is examined for the possibility of providing an accurate copy. The ultimate test of reproducing a uniqueness of artistic creation together with the profound thought which inspired it, is reserved for a section on Hopkins. While it is recognized that, owing to the constrictions imposed by the extreme and sensitive use of language, no translation can fully include all that there is in his poems, it might be possible to capture enough of their essence to give an impression of a 'German' Hopkins at work. A major objective throughout is the establishment of a linguistic base for the part played by intuition in literary translation.
Spin waves in yttrium-iron garnet has been the subject of research for decades. Recently the report of Bose-Einstein condensation at room temperature has brought these experiments back into focus. Due to the small mass of quasiparticles compared to atoms for example, the condensation temperature can be much higher. With spin-wave quasiparticles, so-called magnons, even room temperature can be reached by externally injecting magnons. But also possible applications in information technologies are of interest. Using excitations as carriers for information instead of charges delivers a much more efficient way of processing data. Basic logical operations have already been realized. Finally the wavelength of spin waves which can be decreased to nanoscale, gives the opportunity to further miniaturize devices for receiving signals for example in smartphones.
For all of these purposes the magnon system is driven far out of equilibrium. In order to get a better fundamental understanding, we concentrate in the main part of this thesis on the nonequilibrium aspect of magnon experiments and investigate their thermalization process. In this context we develop formalisms which are of general interest and which can be adopted to many different kinds of systems.
A milestone in describing gases out of equilibrium was the Boltzmann equation discovered by Ludwig Boltzmann in 1872. In this thesis extensions to the Boltzmann equation with improved approximations are derived. For the application to yttrium-iron garnet we describe the thermalization process after magnons were excited by an external microwave field.
First we consider the Bose-Einstein condensation phenomena. A special property of thin films of yttrium-iron garnet is that the dispersion of magnons has its minimum at finite wave vectors which leads to an interesting behavior of the condensate. We investigate the spatial structure of the condensate using the Gross-Pitaevskii equation and find that the magnons can not condensate only at the energy minimum but that also higher Fourier modes have to be occupied macroscopically. In principle this can lead to a localization on a lattice in real space.
Next we use functional renormalization group methods to go beyond the perturbation theory expressions in the Boltzmann equation. It is a difficult task to find a suitable cutoff scheme which fits to the constraints of nonequilibrium, namely causality and the fluctuation-dissipation theorem when approaching equilibrium. Therefore the cutoff scheme we developed for bosons in the context of our considerations is of general interest for the functional renormalization group. In certain approximations we obtain a system of differential equations which have a similar transition rate structure to the Boltzmann equation. We consider a model of two kinds of free bosons of which one type of boson acts as a thermal bath to the other one. Taking a suitable initial state we can use our formalism to describe the dynamics of magnons such that an enhanced occupation of the ground state is achieved. Numerical results are in good agreement with experimental data.
Finally we extend our model to consider also the pumping process and the decrease of the magnon particle number till thermal equilibrium is reached again. Additional terms which explicitly break the U(1)-symmetry make it necessary to also extend the theory from which a kinetic equation can be deduced. These extensions are complicated and we therefore restrict ourselves to perturbation theory only. Because of the weak interactions in yttrium-iron garnet this provides already good results.