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Energy and environment are two major concerns in the 21st century. At present, the energy required for the daily life still mainly relies on the traditional fossil fuel resources, but the caused air pollution problem and greenhouse effect have seriously threatened the sustainable development of mankind. Another adopted energy source which can provide a large fraction of electricity for the world is the nuclear fission reaction. However, the increasing high-radioactive spent nuclear fuels, which half-lives are usually >1 million years, are becoming the hidden perils to the earth. A great advance in accelerator physics and technology opens an opportunity to solve this dilemma between man and nature, because powerful accelerator-based neutron sources can play important roles for clean nuclear power production, for example: - The Accelerator-Driven System (ADS) can serve as an easy control of a sub-critical fission reactor so that the nuclear fuels will be burnt more completely and safely. - The EUROTRANS project launched by EU is investigating another application of the ADS technology to reduce the radiotoxicity and the volume of the existing nuclear waste greatly and quickly in a transmutation way. - The developing international IFMIF plant will be used to test and qualify reactor materials for future fusion power stations, which can produce much cleaner nuclear electricity more efficiently than the fission ones. Therefore, the R&D of high-power driver linacs (HPDL) is of a worldwide importance. As the proverb said, "everything is hard at the beginning", the front end is the most difficult part for realizing an HPDL machine. Based on the RFQ and H-type DTL structures, this dissertation is dedicated to study the beam dynamics in the presence of significantly strong space-charge effects while accelerating intense hardon beams in the low- and medium-beta-region. Besides the 5mA/30mA, 17MeV proton injector (RFQ+DTL) and the 125mA, 40MeV deuteron DTL of the above-mentioned EUROTRANS and IFMIF facilities, a 200mA, 700keV proton RFQ has been also intensively studied for a small-scale but ultra-intense neutron source FRANZ planned at Frankfurt University. The most remarkable properties of the FRANZ RFQ and the IFMIF DTL are the design beam intensities, 200mA and 125mA, which are the record values for the proton and deuteron linacs, respectively. Though the design intensities for the two development stages, XT-ADS (5mA) and EFIT (30mA), of the EUROTRANS injector are well within the capability of the modern RF linac technology, the special design concept for an easy upgrade from XT-ADS to EFIT brings unusual challenges to realize a linac layout which allows flexible operation with different beam intensities. To design the 200mA FRANZ RFQ and the two-intensity EUROTRANS RFQ, the classic LANL (Los Alamos National Laboratory) Four-Section Procedure, which was developed by neglecting the space-charge forces, is not sufficient anymore. Abandoning the unreasonable constant- B (constant-transverse-focusing-strength) law and the resulting inefficient evolution manners of dynamics parameters adopted by the LANL method, a new design approach so-called "BABBLE", which can provide a "Balanced and Accelerated Beam Bunching at Low Energy", has been developed for intense beams. Being consistent with the beam-development process including space-charge effects, the main features of the "BABBLE" strategy (see Pages 55-58) are: 1) At the entrance, the synchronous phase is kept at = phi s = -90° while a gradual increase in the electrode modulation is started so that the input beam can firstly get a symmetrical and soft bunching within a full-360° phase acceptance. 2) In the following main bunching section, B is increasing to balance the stronger and stronger transverse defocusing effects induced by the decreasing bunch size so that the bunching speed can be fast and safely increased. 3) When the real acceleration starts, the quickly increased beam velocity will naturally weaken the transverse defocusing effects, so B is accordingly falling down to avoid longitudinal emittance growths and to allow larger bore apertures. Taking advantage of the gentle initial bunching and the accelerated main bunching under balanced forces enabled by the "BABBLE" strategy, a 2m-long RFQ with beam transmission in excess of 98% and low emittance growths has been designed for FRANZ, and a 4.3m-long RFQ with almost no beam losses and flat emittance evolutions at both 5mA and 30mA has been designed for EUROTRANS. All design results have proven that the "BABBLE" strategy is a general design approach leading to an efficient and robust RFQ with good beam quality in a wide intensity-range from 0mA to 200mA (even higher). To design the IFMIF DTL and the injector DTL part of the EUROTRANS driver linac, which have been foreseen as the first real applications of the novel superconducting CH-DTL structure, intensive attempts have been made to fulfill the design goals under the new conditions, e.g. long drift spaces, SC transverse focusing elements and high accelerating gradients. For the IFMIF DTL, the preliminary IAP design has been considerably improved with respect to the linac layout as well as the beam dynamics. By reserving sufficient drift spaces for the cryosystem, diagnostic devices, tuner and steerer, introducing SC solenoid lenses and adjusting the Linac Design for Intense Hadron Beams accelerating gradients and accordingly other configurations of the cavities (see Pages 78-80), a more realistic, reliable and efficient linac system has been designed. On the other hand, the specifications and positions of the transverse focusing elements (see Pages 81-82) as well as the phase- and energy-differences between the bunch-center particle and the synchronous particle at the beginning of the phi s=0° sections have been totally redesigned (see Pages 83-84) resulting in good beam performances in both radial and longitudinal planes. For the EUROTRANS injector DTL, in addition to the above-mentioned procedures, extra optimization concepts to coordinate the beam dynamics between two intensities, such as employing short adjustable rebunching cavities with phi s = -90° (see Page 116), have been applied. ...
In this thesis we have studied the physics of different ultracold Bose-Fermi mixtures in optical lattices, as well as spin 1=2 fermions in a harmonic trap. To study these systems we generalized dynamical mean-field theory for a mixture of fermions and bosons, as well as for an inhomogeneous environment. Generalized dynamical mean-field theory (GDMFT) is a method that describes a mixture of fermions and bosons. This method consists of Gutzwiller mean-field for the bosons, and dynamical mean-field theory for the fermions, which are coupled on-site by the Bose-Fermi density-density interaction and possibly a Feshbach term which converts a pair of up and down fermions into a molecule, i.e. a boson. We derived the self-consistency equations and showed that this method is well-controlled in the limit of high lattice coordination number z. We develop real-space dynamical mean-field theory for studying systems in an inhomogeneous environment, e.g. in a harmonic trap. The crucial difference compared to standard DMFT is that we are taking into account that different sites are not equivalent to each other and thus take into account the inhomogeneity of the system. Different sites are coupled by the real-space Dyson equation. ...
Induced charge computation
(2009)
One of the main aspects of statistical mechanics is that the properties of a thermodynamics state point do not depend on the choice of the statistical ensemble. It breaks down for small systems e.g. single molecules. Hence, the choice of the statistical ensemble is crucial for the interpretation of single molecule experiments, where the outcome of measurements depends on which variables or control parameters, are held fixed and which ones are allowed to fluctuate. Following this principle, this thesis investigates the thermodynamics of a single polymer pulling experiments within two different statistical ensembles. The scaling of the conjugate chain ensembles, the fixed end-to-end vector (Helmholtz) and the fixed applied force (Gibbs), are studied in depth. This thesis further investigates the ensemble equivalence for different force regimes and polymer-chain contour lengths. Using coarse-grained molecular dynamic simulations, i.e. Langevin dynamics, the simulations were found to complement the theoretical predictions for the scaling of ensemble difference of Gaussian chains in different force-regimes, giving special attention to the zero force regime. After constructing Helmholtz and Gibbs conjugate ensembles for a Gaussian chain, two different data sets of thermodynamic states on the force-extension plane, i.e. force-extension curves, were generated. The ensemble difference is computed for different polymer-chain lengths by using force-extension curves. The scaling of the ensemble difference versus relative polymer-chain length under different force regimes has been derived from the simulation data and compared to theoretical predictions. The results demonstrate that the Gaussian chain in the zero force limit generates nonequivalent ensembles, regardless of its equilibrium bond length and polymer-chain contour length. Moreover, if polymers are charged in confinement, coarse-graining is problematic, owing to dielectric interfaces. Hence, the effect of dielectric interfaces must be taken into account when describing physical systems such as ionic channels or biopolymers inside nanopores. It is shown that the effect of dielectrics is crucial for the dynamics of a biopolymer or an ion inside a nanopore. In the simulations, the feasibility of an efficient and accurate computation of electrostatic interactions in the presence of an arbitrarily shaped dielectric domain is challenging. Several solutions for this problem have been previously proposed in the literature such as a density functional approach, or transforming problem at hand into an algebraic problem ( Induced Charge Computation (ICC) ) and boundary element methods. Even though the essential concept is the same, which is to replace the dielectric interface with a polarization charge density, these approaches have been analyzed and the ICC algorithm has been implemented. A new superior boundary element method has been devised utilizing the force computation via the Particle-Particle Particle-Mesh (P3M) method for periodic geometries (ICCP3M). This method has been compared to the ICC algorithm, the algebraic solutions, and to density functional approaches. Extensive numerical tests against analytically tractable geometries have confirmed the correctness and applicability of developed and implemented algorithms, demonstrating that the ICCP3M is the fastest and the most versatile algorithm. Further optimization issues are also discussed in obtaining accurate induced charge densities. The potential of mean force (PMF) of DNA modelled on a coarsed-grain level inside a nanopore is investigated with and without the inclusion of dielectric effects. Despite the simplicity of the model, the dramatic effect of dielectric inclusions is clearly seen in the observed force profile.
We apply a coupled transport-hydrodynamics model to discuss the production of multi-strange meta-stable objects in Pb + Pb reactions at the FAIR facility. In addition to making predictions for yields of these particles we are able to calculate particle dependent rapidity and momentum distributions. We argue that the FAIR energy regime is the optimal place to search for multi-strange baryonic object (due to the high baryon density, favoring a distillation of strangeness). Additionally, we show results for strangeness and baryon density fluctuations. Using the UrQMD model we calculate the strangeness separation in phase space which might lead to an enhanced production of MEMOs compared to models that assume global thermalization.
The physics of interacting bosons in the phase with broken symmetry is determined by the presence of the condensate and is very different from the physics in the symmetric phase. The Functional Renormalization Group (FRG) represents a powerful investigation method which allows the description of symmetry breaking with high efficiency. In the present thesis we apply FRG for studying the physics of two different models in the broken symmetry phase. In the first part of this thesis we consider the classical O(1)-model close to the critical point of the second order phase transition. Employing a truncation scheme based on the relevance of coupling parameters we study the behavior of the RG-flow which is shown to be influenced by competition between two characteristic lengths of the system. We also calculate the momentum dependent self-energy and study its dependence on both length scales. In the second part we apply the FRG-formalism to systems of interacting bosons in the phase with spontaneously broken U(1)-symmetry in arbitrary spatial dimensions at zero temperature. We use a truncation scheme based on a new non-local potential approximation which satisfy both exact relations postulated by Hugenholtz and Pines, and Nepomnyashchy and Nepomnyashchy. We study the RG-flow of the model, discuss different scaling regimes, calculate the single-particle spectral density function of interacting bosons and extract both damping of quasi-particles and spectrum of elementary excitations from the latter.
The characterization of microscopic properties in correlated low-dimensional materials is a challenging problem due to the effects of dimensionality and the interplay between the many different lattice and electronic degrees of freedom. Competition between these factors gives rise to interesting and exotic magnetic phenomena. An understanding of how these phenomena are driven by these degrees of freedom can be used for rational design of new materials, to control and manipulate these degrees of freedom in order to obtain desired properties. In this work, we study these effects in materials with small exchange interaction between the magnetic ions such as metal-organic and inorganic dilute compounds. We overcome the dfficulties in studying these kind of materials by combining classical and quantum mechanical ab initio methods and many-body theory methods in an effective theoretical approach. To treat metal-organic compounds we elaborate a novel two-step methodology which allows one to include quantum effects while reducing the computational cost. We show that our approach is an effective procedure, leading at each step, to additional insights into the essential features of the phenomena and materials under study. Our investigation is divided into two parts, the first one concerning the exploration of the fundamental physical properties of novel Cu(II) hydroquinone-based compounds. We have studied two representatives of this family, a polymeric system Cu(II)-2,5-bis(pyrazol-1-yl)-1,4-dihydroxybenzene (CuCCP) and a coupled system Cu2S2F6N8O12 (TK91). The second part concerns the study of magnetic phenomena associated with the interplay between different energy scales and dimensionality in zero-, one- and two-dimensional compounds. In the zero-dimensional case, we have performed a comprehensive study of Cu4OCl6L4 with L=diallylcyanamide=NC-N-(CH2-CH=CH2)2 (Cu4OCl6daca4). Interpretations of the magnetic properties for this tetrameric compound have been controversial and inconsistent. From our studies, we conclude that the common models usually applied to this and other representatives in the same family of cluster systems fail to provide a consistent description of their low temperature magnetic properties and we thus postulate that in such systems it is necessary to take into account quantum fluctuations due to possible frustrated behavior. In the one-dimensional case, we studied polymeric Fe(II)-triazole compounds, which are of special relevance due to the possibility of inducing a spin transition between low and high spin state by applying a external perturbation. A long standing problem has been a satisfactory microscopic explanation of this large cooperative phenomenon. A lack of X-ray data has been one mitigating reason for the absence of microscopic studies. In this work, we present a novel approach to the understanding of the microscopic mechanism of spin crossover in such systems and show that in these kind of compounds magnetic exchange between high spin Fe(II) centers plays an important role. The correct description of the underlying physics in many materials is often hindered by the presence of anisotropies. To illustrate this difficulty, we have studied a two dimensional dilute compound K2V3O8 which exhibits an unusual spin reorientation effect when applying magnetic fields. While this effect can be understood when considering anisotropies in the system, it is not sufficient to reproduce experimental observations. Based on our studies of the electronic and magnetic properties in this system, we predict an extra exchange interaction and the presence of an additional magnetic moment at the non-magnetic V site. This sheds a new light into the controversial recent experimental data for the magnetic properties of this material.
The bulk viscosity of several quark matter phases is calculated. It is found that the effect of color superconductivity is not trivial, it may suppress, or enhance the bulk viscosity depending on the critical temperature and the temperature at which the bulk viscosity is calculated. Also, is it found that the effect of neutrino-emitting Urca processes cannot be neglected in the consideration of the bulk viscosity of strange quark matter. The results for the bulk viscosity of strange quark matter are used to calculate the r-mode instability window of quark stars with several possible phases. It is shown that each possible phase has a different structure for the r-mode instability window.
Short-term memory requires the coordination of sub-processes like encoding, retention, retrieval and comparison of stored material to subsequent input. Neuronal oscillations have an inherent time structure, can effectively coordinate synaptic integration of large neuron populations and could therefore organize and integrate distributed sub-processes in time and space. We observed field potential oscillations (14–95 Hz) in ventral prefrontal cortex of monkeys performing a visual memory task. Stimulus-selective and performance-dependent oscillations occurred simultaneously at 65–95 Hz and 14–50 Hz, the latter being phase-locked throughout memory maintenance. We propose that prefrontal oscillatory activity may be instrumental for the dynamical integration of local and global neuronal processes underlying short-term memory.
Perturbation theory for non-abelian gauge theories at finite temperature is plagued by infrared
divergences which are caused by magnetic soft modes ~ g2T, corresponding to gluon fields of
a 3d Yang-Mills theory. While the divergences can be regulated by a dynamically generated
magnetic mass on that scale, the gauge coupling drops out of the effective expansion parameter
requiring summation of all loop orders for the calculation of observables. Some gauge invariant
possibilities to implement such infrared-safe resummations are reviewed. We use a scheme based
on the non-linear sigma model to estimate some of the contributions ~ g6 of the soft magnetic
modes to the QCD pressure through two loops. The NLO contribution amounts to ~ 10% of the
LO, suggestive of a reasonable convergence of the series.