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A graph theoretical approach to the analysis, comparison, and enumeration of crystal structures
(2008)
As an alternative approach to lattices and space groups, this work explores graph theory as a means to model crystal structures. The approach uses quotient graphs and nets - the graph theoretical equivalent of cells and lattices - to represent crystal structures. After a short review of related work, new classes of cycles in nets are introduced and their ability to distinguish between non-isomorphic nets and their computational complexity are evaluated. Then, two methods to estimate a structure’s density from the corresponding net are proposed. The first uses coordination sequences to estimate the number of nodes in a sphere, whereas the second method determines the maximal volume of a unit cell. Based on the quotient graph only, methods are proposed to determine whether nets consist of islands, chains, planes, or penetrating, disconnected sub-nets. An algorithm for the enumeration of crystal structures is revised and extended to a search for structures possessing certain properties. Particular attention is given to the exclusion of redundant nets and those, which, by the nature of their connectivity, cannot correspond to a crystal structure. Nets with four four-coordinated nodes, corresponding to sp3 hybridised carbon polymorphs with four atoms per unit cell, are completely enumerated in order to demonstrate the approach. In order to render quotient graphs and nets independent from crystal structures, they are reintroduced in a purely graph-theoretical way. Based on this, the issue of iso- and automorphism of nets is reexamined. It is shown that the topology of a net (that is the bonds in a crystal) constrains severely the symmetry of the embedding (that is the crystal), and in the case of connected nets the space group except for the setting. Several examples are studied and conclusions on phases are drawn (pseudo-cubic FeS2 versus pyrite; α- versus β- quartz; marcasite- versus rutile-like phases). As the automorphisms of certain quotient graphs stipulate a translational symmetry higher than an arbitrary embedding of the corresponding net would show, they are examined in more detail and a method to reduce the size of such quotient graphs is proposed. Besides two instructional examples with 2-dimensional graphs, the halite, calcite, magnesite, barytocalcite, and a strontium feldspar structures are discussed. For some of the structures it is shown that the quotient graph which is equivalent to a centred cell is reduced to a quotient graph equivalent to the primitive cell. For the partially disordered strontium feldspar, it is shown that even if it could be annealed to an ordered structure, the unit cell would likely remain unchanged. For the calcite and barytocalcite structures it is shown that the equivalent nets are not isomorphic.
‘The whole is more than the sum of its parts.’ This idea has been brought forward by psychologists such as Max Wertheimer who formulated Gestalt laws that describe our perception. One law is that of collinearity: elements that correspond in their local orientation to their global axis of alignment form a collinear line, compared to a noncollinear line where local and global orientations are orthogonal. Psychophysical studies revealed a perceptual advantage for collinear over non-collinear stimulus context. It was suggested that this behavioral finding could be related to underlying neuronal mechanisms already in the primary visual cortex (V1). Studies have shown that neurons in V1 are linked according to a common fate: cells responding to collinearly aligned contours are predominantly interconnected by anisotropic long-range lateral connections. In the cat, the same holds true for visual interhemispheric connections. In the present study we aimed to test how the perceptual advantage of a collinear line is reflected in the anatomical properties within or between the two primary visual cortices. We applied two neurophysiological methods, electrode and optical recording, and reversibly deactivated the topographically corresponding contralateral region by cooling in eight anesthetized cats. In electrophysiology experiments our results revealed that influences by stimulus context significantly depend on a unit’s orientation preference. Vertical preferring units had on average a higher spike rate for collinear over non-collinear context. Horizontal preferring units showed the opposite result. Optical imaging experiments confirmed these findings for cortical areas assigned to vertical orientation preference. Further, when deactivating the contralateral region the spike rate for horizontal preferring units in the intact hemisphere significantly decreased in response to a collinear stimulus context. Most of the optical imaging experiments revealed a decrease in cortical activity in response to either stimulus context crossing the vertical midline. In conclusion, our results support the notion that modulating influences from stimulus context can be quite variable. We suggest that the kind of influence may depend on a cell’s orientation preference. The perceptual advantage of a collinear line as one of the Gestalt laws proposes is not uniformly represented in the activity of individual cells in V1. However, it is likely that the combined activity of many V1 neurons serves to activate neurons further up the processing stream which eventually leads to the perceptual phenomenon.
"The whole is more than the sum of its parts." This idea has been brought forward by psychologists such as Max Wertheimer who formulated Gestalt laws that describe our perception. One law is that of collinearity: elements that correspond in their local orientation to their global axis of alignment form a collinear line, compared to a noncollinear line where local and global orientations are orthogonal. Psychophysical studies revealed a perceptual advantage for collinear over non-collinear stimulus context. It was suggested that this behavioral finding could be related to underlying neuronal mechanisms already in the primary visual cortex (V1). Studies have shown that neurons in V1 are linked according to a common fate: cells responding to collinearly aligned contours are predominantly interconnected by anisotropic long-range lateral connections. In the cat, the same holds true for visual interhemispheric connections. In the present study we aimed to test how the perceptual advantage of a collinear line is reflected in the anatomical properties within or between the two primary visual cortices. We applied two neurophysiological methods, electrode and optical recording, and reversibly deactivated the topographically corresponding contralateral region by cooling in eight anesthetized cats. In electrophysiology experiments our results revealed that influences by stimulus context significantly depend on a unit’s orientation preference. Vertical preferring units had on average a higher spike rate for collinear over non-collinear context. Horizontal preferring units showed the opposite result. Optical imaging experiments confirmed these findings for cortical areas assigned to vertical orientation preference. Further, when deactivating the contralateral region the spike rate for horizontal preferring units in the intact hemisphere significantly decreased in response to a collinear stimulus context. Most of the optical imaging experiments revealed a decrease in cortical activity in response to either stimulus context crossing the vertical midline. In conclusion, our results support the notion that modulating influences from stimulus context can be quite variable. We suggest that the kind of influence may depend on a cell’s orientation preference. The perceptual advantage of a collinear line as one of the Gestalt laws proposes is not uniformly represented in the activity of individual cells in V1. However, it is likely that the combined activity of many V1 neurons serves to activate neurons further up the processing stream which eventually leads to the perceptual phenomenon.
I derive a general effective theory for hot and/or dense quark matter. After introducing general projection operators for hard and soft quark and gluon degrees of freedom, I explicitly compute the functional integral for the hard quark and gluon modes in the QCD partition function. Upon appropriate choices for the projection operators one recovers various well-known effective theories such as the Hard Thermal Loop/ Hard Dense Loop Effective Theories as well as the High Density Effective Theory by Hong and Schaefer. I then apply the effective theory to cold and dense quark matter and show how it can be utilized to simplify the weak-coupling solution of the color-superconducting gap equation. In general, one considers as relevant quark degrees of freedom those within a thin layer of width 2 Lambda_q around the Fermi surface and as relevant gluon degrees of freedom those with 3-momenta less than Lambda_gl. It turns out that it is necessary to choose Lambda_q << Lambda_gl, i.e., scattering of quarks along the Fermi surface is the dominant process. Moreover, this special choice of the two cutoff parameters Lambda_q and Lambda_gl facilitates the power-counting of the numerous contributions in the gap-equation. In addition, it is demonstrated that both the energy and the momentum dependence of the gap function has to be treated self-consistently in order to determine the imaginary part of the gap function. For quarks close to the Fermi surface the imaginary part is calculated explicitly and shown to be of sub-subleading order in the gap equation.
This dissertation is devoted to the study of thermodynamics for quantum gauge theories.The poor convergence of quantum field theory at finite temperature has been the main obstacle in the practical applications of thermal QCD for decades. In this dissertation I apply hard-thermal-loop perturbation theory, which is a gauge-invariant reorganization of the conventional perturbative expansion for quantum gauge theories to the thermodynamics of QED and Yang-Mills theory to three-loop order. For the Abelian case, I present a calculation of the free energy of a hot gas of electrons and photons by expanding in a power series in mD/T, mf /T and e2, where mD and mf are the photon and electron thermal masses, respectively, and e is the coupling constant.I demonstrate that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at large coupling, e ~ 2. For the non-Abelian case, I present a calculation of the free energy of a hot gas of gluons by expanding in a power series in mD/T and g2, where mD is the gluon thermal mass and g is the coupling constant. I show that at three-loop order hard-thermal-loop perturbation theory is compatible with lattice results for the pressure, energy density, and entropy down to temperatures T ~ 2 - 3 Tc. The results suggest that HTLpt provides a systematic framework that can be used to calculate static and dynamic quantities for temperatures relevant at LHC.
A fundamental work on THz measurement techniques for application to steel manufacturing processes
(2004)
The terahertz (THz) waves had not been obtained except by a huge system, such as a free electron laser, until an invention of a photo-mixing technique at Bell laboratory in 1984 [1]. The first method using the Auston switch could generate up to 1 THz [2]. After then, as a result of some efforts for extending the frequency limit, a combination of antennas for the generation and the detection reached several THz [3, 4]. This technique has developed, so far, with taking a form of filling up the so-called THz gap . At the same time, a lot of researches have been trying to increase the output power as well [5-7]. In the 1990s, a big advantage in the frequency band was brought by non-linear optical methods [8-11]. The technique led to drastically expand the frequency region and recently to realize a measurement up to 41 THz [12]. On the other hand, some efforts have yielded new generation and detection methods from other approaches, a CW-THz as well as the pulse generation [13-19]. Especially, a THz luminescence and a laser, originated in a research on the Bloch oscillator, are recently generated from a quantum cascade structure, even at an only low temperature of 60 K [20-22]. This research attracts a lot of attention, because it would be a breakthrough for the THz technique to become widespread into industrial area as well as research, in a point of low costs and easier operations. It is naturally thought that a technology of short pulse lasers has helped the THz field to be developed. As a background of an appearance of a stable Ti:sapphire laser and a high power chirped pulse amplification (CPA) laser, instead of a dye laser, a lot of concentration on the techniques of a pulse compression and amplification have been done. [23] Viewed from an application side, the THz technique has come into the limelight as a promising measurement method. A discovery of absorption peaks of a protein and a DNA in the THz region is promoting to put the technique into practice in the field of medicine and pharmaceutical science from several years ago [24-27]. It is also known that some absorption of light polar-molecules exist in the region, therefore, some ideas of gas and water content monitoring in the chemical and the food industries are proposed [28-32]. Furthermore, a lot of reports, such as measurements of carrier distribution in semiconductors, refractive index of a thin film and an object shape as radar, indicate that this technique would have a wide range of application [33-37]. I believe that it is worth challenging to apply it into the steel-making industry, due to its unique advantages. The THz wavelength of 30-300 ¼m can cope with both independence of a surface roughness of steel products and a detection with a sub-millimeter precision, for a remote surface inspection. There is also a possibility that it can measure thickness or dielectric constants of relatively high conductive materials, because of a high permeability against non-polar dielectric materials, short pulse detection and with a high signal-to-noise ratio of 103-5. Furthermore, there is a possibility that it could be applicable to a measurement at high temperature, for less influence by a thermal radiation, compared with the visible and infrared light. These ideas have motivated me to start this THz work.
The fungal interaction with plants is a 400 million years old phenomenon, which presumably assisted in the plants’ establishment on land. In a natural ecosystem, all plant-ranging from large trees to sea-grasses-are colonized by fungal endophytes, which can be detected inter- and intracellularly within the tissues of apparently healthy plants, without causing obvious negative effects on their host. These ubiquitous and diverse microorganisms are likely playing important roles in plant fitness and development. However, the knowledge on the ecological functions of fungal root endophytes is scarce. Among possible functions of endophytes, they are implicated in mutualisms with plants, which may increase plant resistance to biotic stressors like herbivores and pathogens, and/or to abiotic factors like soil salinity and drought. Also, endophytes are fascinating microorganisms in regard to their high potential to produce a great spectrum of secondary metabolites with expected ecological functions. However, evidences suggest that the interactions between host plants and endophytes are not static and endophytes express different symbiotic lifestyles ranging from mutualism to parasitism, which makes difficult to predict the ecological roles of these cryptic microorganisms. To reveal the ecological function of fungal root endophytes, this doctoral thesis aims at assessing fungal root endophytes interactions with different plants and their effects on plant fitness, based on their phylogeny, traits, and competition potential in settings encompassing different abiotic contexts. To understand the cryptic implication of nonmycorrhizal endophytes in ecosystem processes, we isolated a diverse spectrum of fungal endophytes from roots of several plant species growing in different natural contexts and tested their effects on different model plants under axenic laboratory conditions. Additionally,we aimed at investigating the effect of abiotic and biotic variables on the outcome of interactions between fungal root endophytes and plants.
In summary, the morphological and physiological traits of 128 fungal endophyte strains within ten fungal orders were studied and artificial experimental systems were used to reproduce their interactions with three plant species under laboratory conditions. Under defined axenic conditions, most endophytes behaved as weak parasites, but their performance varied across plant species and fungal taxa. The variation in the interactions was partly explained by convergent fungal traits that separate groups of endophytes with potentially different niche preferences. According to my findings, I predict that the functional complementarity of strains is essential in structuring natural root endophytic communities. Additionally, the responses of plant-endophyte interactions to different abiotic factors, namely nutrient availability, light intensity, and substrate’s pH, indicate that the outcome of plant-fungus relationships may be robust to changes in the abiotic environment. The assessment of the responses of plant endophyte interactions to biotic context, as combinations of selected dominant root fungal endophytes with different degrees of trait similarity and shared evolutionary history, indicates that frequently coexisting root-colonizing fungi may avoid competition in inter-specific interactions by occupying specific niches, and that their interactions likely define the structure of root-associated fungal communities and influence the microbiome impacts on plant fitness.
In conclusion, my findings suggest that dominant fungal lineages display different ecological preferences and complementary sets of functional traits, with different niche preferences within root tissues to avoid competition. Also, their diverse effects on plant fitness is likely host-isolate dependent and robust to changes in the abiotic environment when these encompass the tolerance range of either symbiont.
A framework for the analysis and visualization of multielectrode spike trains / von Ovidiu F. Jurjut
(2009)
The brain is a highly distributed system of constantly interacting neurons. Understanding how it gives rise to our subjective experiences and perceptions depends largely on understanding the neuronal mechanisms of information processing. These mechanisms are still poorly understood and a matter of ongoing debate remains the timescale on which the coding process evolves. Recently, multielectrode recordings of neuronal activity have begun to contribute substantially to elucidating how information coding is implemented in brain circuits. Unfortunately, analysis and interpretation of multielectrode data is often difficult because of their complexity and large volume. Here we propose a framework that enables the efficient analysis and visualization of multielectrode spiking data. First, using self-organizing maps, we identified reoccurring multi-neuronal spike patterns that evolve on various timescales. Second, we developed a color-based visualization technique for these patterns. They were mapped onto a three-dimensional color space based on their reciprocal similarities, i.e., similar patterns were assigned similar colors. This innovative representation enables a quick and comprehensive inspection of spiking data and provides a qualitative description of pattern distribution across entire datasets. Third, we quantified the observed pattern expression motifs and we investigated their contribution to the encoding of stimulus-related information. An emphasis was on the timescale on which patterns evolve, covering the temporal scales from synchrony up to mean firing rate. Using our multi-neuronal analysis framework, we investigated data recorded from the primary visual cortex of anesthetized cats. We found that cortical responses to dynamic stimuli are best described as successions of multi-neuronal activation patterns, i.e., trajectories in a multidimensional pattern space. Patterns that encode stimulus-specific information are not confined to a single timescale but can span a broad range of timescales, which are tightly related to the temporal dynamics of the stimuli. Therefore, the strict separation between synchrony and mean firing rate is somewhat artificial as these two represent only extreme cases of a continuum of timescales that are expressed in cortical dynamics. Results also indicate that timescales consistent with the time constants of neuronal membranes and fast synaptic transmission (~10-20 ms) appear to play a particularly salient role in coding, as patterns evolving on these timescales seem to be involved in the representation of stimuli with both slow and fast temporal dynamics.
In this work the flexibility requirements of a highly renewable European electricity network that has to cover fluctuations of wind and solar power generation on different temporal and spatial scales are studied. Cost optimal ways to do so are analysed that include optimal distribution of the infrastructure, large scale transmission, storage, and dispatchable generators. In order to examine these issues, a model of increasing sophistication is built, first considering different flexibility classes of conventional generation, then adding storage, before finally considering transmission to see the effects of each.
To conclude, in this work it was shown that slowly flexible base load generators can only be used in energy systems with renewable shares of less than 50%, independent of the expansion of an interconnecting transmission network within Europe. Furthermore, for a system with a dominant fraction of renewable generation, highly flexible generators are essentially the only necessary class of backup generators. The total backup capacity can only be decreased significantly if interconnecting transmission is allowed, clearly favouring a European-wide energy network. These results are independent of the complexity level of the cost assumptions used for the models. The use of storage technologies allows to reduce the required conventional backup capacity further. This highlights the importance of including additional technologies into the energy system that provide flexibility to balance fluctuations caused by the renewable energy sources. These technologies could for example be advanced energy storage systems, interconnecting transmission in the electricity network, and hydro power plants.
It was demonstrated that a cost optimal European electricity system with almost 100% renewable generation can have total system costs comparable to today's system cost. However, this requires a very large transmission grid expansion to nine times the line volume of the present-day system. Limiting transmission increases the system cost by up to a third, however, a compromise grid with four times today's line volume already locks in most of the cost benefits. Therefore, it is very clear that by increasing the pan-European network connectivity, a cost efficient inclusion of renewable energies can be achieved, which is strongly needed to reach current climate change prevention goals.
It was also shown that a similarly cost efficient, highly renewable European electricity system can be achieved that considers a wide range of additional policy constraints and plausible changes of economic parameters.