Renormalization Group Analysis Of Equilibrium And Non Equilibrium Charged Systems

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Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems

Author : Evgeny Barkhudarov
Publisher : Springer
ISBN 13 : 3319061542
Total Pages : 168 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems by : Evgeny Barkhudarov

Download or read book Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems written by Evgeny Barkhudarov and published by Springer. This book was released on 2014-05-09 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input into particle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of the cut-offs. The RG calculation reproduced established results, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length. The main part of the thesis is the application of the dynamic RG to turbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugates and functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic expansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories. Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD.

Non Perturbative Renormalization Group

Author : Federico Benitez
Publisher :
ISBN 13 :
Total Pages : 151 pages
Book Rating : 4.:/5 (875 download)

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Book Synopsis Non Perturbative Renormalization Group by : Federico Benitez

Download or read book Non Perturbative Renormalization Group written by Federico Benitez and published by . This book was released on 2013 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the most important open problems in statistical mechanics are related with systems out of thermal equilibrium. In this work we use field theory methods to study some of these systems. To do so, we first introduce a field theory representation for the systems of interest, as well as the specific formalism to be used throughout, the so-called non perturbative renormalization group (NPRG). This formalism has emerged in the last years as a very efficient way to deal with strongly correlated systems, and has been applied with success to problems both in and out of equilibrium. Before treating the actual systems of interest, we develop some new tools and methods within the NPRG context, and test them in a simple scalar field theory, belonging to the Ising universality class. We are able to obtain results for the momentum-dependent scaling function of the d=3 Ising model, without having to fix any free parameter. Also, in order to tackle in an efficient way the physics of out of equilibrium systems, we study in detail some formal aspects of their passage to a field theory representation, as well as the equivalences between different possible ways to perform this passage. After these preliminaries, we concentrate in out of equilibrium active-to-absorbing phase transitions in reaction-diffusion systems, and in particular in the subclass known as branching and annihilating random walks (BARW). Among other results, we use the NPRG to find an exact solution to any vertex in a simple system, known as pure annihilation. With this, we analyze some properties of BARW at low branching rates, by means of an expansion in the branching rate around pure annihilation. This perturbative expansion, which is performed around a nontrivial model, allows us to find some striking exact results for some of the most important universality classes in these systems.

A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows

Author : László Könözsy
Publisher : Springer
ISBN 13 : 3030135438
Total Pages : 141 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows by : László Könözsy

Download or read book A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows written by László Könözsy and published by Springer. This book was released on 2019-02-26 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations. Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models. Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering.

Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems

Author : Taiki Haga
Publisher : Springer
ISBN 13 : 9811361711
Total Pages : 156 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems by : Taiki Haga

Download or read book Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems written by Taiki Haga and published by Springer. This book was released on 2019-01-24 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz–Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems.

Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems

Author : Malo Tarpin
Publisher : Springer
ISBN 13 : 9783030398705
Total Pages : 207 pages
Book Rating : 4.3/5 (987 download)

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Book Synopsis Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems by : Malo Tarpin

Download or read book Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems written by Malo Tarpin and published by Springer. This book was released on 2020-04-27 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections.

Renormalization-group Studies of Three Model Systems Far from Equilibrium

Author : Ivan T. Georgiev
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (559 download)

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Book Synopsis Renormalization-group Studies of Three Model Systems Far from Equilibrium by : Ivan T. Georgiev

Download or read book Renormalization-group Studies of Three Model Systems Far from Equilibrium written by Ivan T. Georgiev and published by . This book was released on 2003 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Functional Renormalization Group

Author : Peter Kopietz
Publisher : Springer Science & Business Media
ISBN 13 : 364205093X
Total Pages : 383 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Introduction to the Functional Renormalization Group by : Peter Kopietz

Download or read book Introduction to the Functional Renormalization Group written by Peter Kopietz and published by Springer Science & Business Media. This book was released on 2010-05-03 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on a graduate course given by the authors, is a pedagogic and self-contained introduction to the renormalization group with special emphasis on the functional renormalization group. The functional renormalization group is a modern formulation of the Wilsonian renormalization group in terms of formally exact functional differential equations for generating functionals. In Part I the reader is introduced to the basic concepts of the renormalization group idea, requiring only basic knowledge of equilibrium statistical mechanics. More advanced methods, such as diagrammatic perturbation theory, are introduced step by step. Part II then gives a self-contained introduction to the functional renormalization group. After a careful definition of various types of generating functionals, the renormalization group flow equations for these functionals are derived. This procedure is shown to encompass the traditional method of the mode elimination steps of the Wilsonian renormalization group procedure. Then, approximate solutions of these flow equations using expansions in powers of irreducible vertices or in powers of derivatives are given. Finally, in Part III the exact hierarchy of functional renormalization group flow equations for the irreducible vertices is used to study various aspects of non-relativistic fermions, including the so-called BCS-BEC crossover, thereby making the link to contemporary research topics.

Renormalization Group Theory for Systems Far from Equilibrium

Author : Lin Yuan Chen
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Renormalization Group Theory for Systems Far from Equilibrium by : Lin Yuan Chen

Download or read book Renormalization Group Theory for Systems Far from Equilibrium written by Lin Yuan Chen and published by . This book was released on 1994 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is largely concerned with the long-time or large-scale asymptotic behavior of a variety of non-equilibrium (physical) systems in the absence of noise, to which the renormalization group theory (RG) and the structural stability hypothesis are systematically applied. The first type of problems I study are examples of systems possessing physical scale invariance, for which I focus on similarity solutions, where the exponents are anomalous, and traveling-wave problems, where there is an apparent non-uniqueness of solutions of front propagation. For anomalous nonlinear diffusion and propagation of fronts in porous media, I show that the presence of anomalous dimensions far from equilibrium can be explained systematically. The exponents and related scaling laws are calculated analytically by perturbative renormalization group (RG) theory. I study the propagation of superfluid turbulence, and find that preliminary experimental data are in qualitative agreement with the theoretical RG predictions: in particular, a sharp propagating front is observed. For the velocity selection in pattern formation systems, it is proposed that only structurally stable fronts are reproducibly observable in practice. Combining the structural stability hypothesis with RG techniques enables one to predict the uniquely selected velocity. The results apply to both the linear-marginal-stability and nonlinear-marginal-stability cases under very general conditions. A variational principle is also implemented to identify the transition between different regimes. I also present a numerical implementation of the RG for the problems mentioned above, constructing similarity solutions and traveling waves. I show that the numerical RG method is computationally more efficient than direct numerical integration of equations, and yields more accurate results than previous analytical perturbative RG calculations, especially when (perturbation) parameters are not small. The second type of problems I investigate are singular perturbation problems, classical or quantum, without apparent physical scale invariance. Conventionally, numerous (ad hoc) singular perturbation methods are made use of to solve them. A systematic renormalization group (RG) theory is developed as a unified framework for global singular perturbation methods. This is the first time that the direct correspondence between singular perturbation and RG is established. This study reveals several very general conclusions: (1) Singular perturbation methods are naturally understood as renormalized perturbation methods in physics, and (2) Amplitude equations are nothing but RG equations, and (3) in several aspects, the RG method is technically superior.

Non-perturbative Renormalisation Group Approach to Some Out of Equilibrium Systems

Author : Malo Tarpin
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Non-perturbative Renormalisation Group Approach to Some Out of Equilibrium Systems by : Malo Tarpin

Download or read book Non-perturbative Renormalisation Group Approach to Some Out of Equilibrium Systems written by Malo Tarpin and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focus on the study of two critical systems out of equilibrium using the tools of the non-perturbative renormalization group (NPRG).The first system is the diffusive epidemic process. This stochastic process models the propagation of an epidemic within a population, where the infected individuals recover without immunization. This model exhibit a phase transition when the epidemic goes extinct. The study consisted in applied an approximate form of the NPRG named the modified local potential approximation to this transition. It led us to take a new look at the standard lore for this model, obtained through a perturbative renormalization group analysis. In particular, whether the phase transition belongs to the universality class of the directed percolation with a conserved quantity is called into question.The second system is fully developed homogeneous isotropic turbulence, as described by the Navier-Stokes equation. The stationary state of this driven-dissipative system shows a energy cascade whose phenomenology is typical of scale-invariant systems. A more in depth examination disclose that scale invariance is broken in a subtle way. This is the origin of intermittence phenomena in turbulence. We used a large wave-number expansion of the NPRG to study the temporal dependency of correlation functions in this system and whether the direct cascade in bidimensional turbulence could develop intermittency.

Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations

Author : Yuto Ashida
Publisher : Springer Nature
ISBN 13 : 9811525803
Total Pages : 228 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations by : Yuto Ashida

Download or read book Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations written by Yuto Ashida and published by Springer Nature. This book was released on 2020-01-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.

Exact Renormalization Group, The - Proceedings Of The Workshop

Author : Alexander Krasnitz
Publisher : World Scientific
ISBN 13 : 9814543578
Total Pages : 238 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Exact Renormalization Group, The - Proceedings Of The Workshop by : Alexander Krasnitz

Download or read book Exact Renormalization Group, The - Proceedings Of The Workshop written by Alexander Krasnitz and published by World Scientific. This book was released on 1999-08-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of the exact renormalization group started from pioneering work by Wegner and Houghton in the early seventies and, a decade later, by Polchinski, who formulated the Wilson renormalization group for field theory. In the past decade considerable progress has been made in this field, which includes the development of alternative formulations of the approach and of powerful techniques for solving the exact renormalization group equations, as well as widening of the scope of the exact renormalization group method to include fermions and gauge fields. In particular, two very recent results, namely the manifestly gauge-invariant formulation of the exact renormalization group equation and the proof of the c-theorem in four dimensions, are presented in this volume.

Quantum Field Theory of Non-equilibrium States

Author : Jørgen Rammer
Publisher : Cambridge University Press
ISBN 13 : 9780521188005
Total Pages : 0 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Quantum Field Theory of Non-equilibrium States by : Jørgen Rammer

Download or read book Quantum Field Theory of Non-equilibrium States written by Jørgen Rammer and published by Cambridge University Press. This book was released on 2011-03-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.

Non-equilibrium Many-body States in Carbon Nanotube Quantum Dots

Author : Tokuro Hata
Publisher : Springer
ISBN 13 : 9811376603
Total Pages : 76 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Non-equilibrium Many-body States in Carbon Nanotube Quantum Dots by : Tokuro Hata

Download or read book Non-equilibrium Many-body States in Carbon Nanotube Quantum Dots written by Tokuro Hata and published by Springer. This book was released on 2019-05-14 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the first experiment revealing several unexplored non-equilibrium properties of quantum many-body states, and addresses the interplay between the Kondo effect and superconductivity by probing shot noise. In addition, it describes in detail nano-fabrication techniques for carbon nanotube quantum dots, and a measurement protocol and principle that probes both equilibrium and non-equilibrium quantum states of electrons. The book offers various reviews of topics in mesoscopic systems: shot noise measurement, carbon nanotube quantum dots, the Kondo effect in quantum dots, and quantum dots with superconducting leads, which are relevant to probing non-equilibrium physics. These reviews offer particularly valuable resources for readers interested in non-equilibrium physics in mesoscopic systems. Further, the cutting-edge experimental results presented will allow reader to catch up on a vital new trend in the field.

Computer Simulation Studies in Condensed-Matter Physics XVI

Author : David P. Landau
Publisher : Springer Science & Business Media
ISBN 13 : 3642592937
Total Pages : 257 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Simulation Studies in Condensed-Matter Physics XVI by : David P. Landau

Download or read book Computer Simulation Studies in Condensed-Matter Physics XVI written by David P. Landau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This status report features the most recent developments in the field, spanning a wide range of topical areas in the computer simulation of condensed matter/materials physics. Highlights of this volume include various aspects of non-equilibrium statistical mechanics, studies of properties of real materials using both classical model simulations and electronic structure calculations, and the use of computer simulation in teaching.

Natural Time Analysis: The New View of Time

Author : Panayiotis Varotsos
Publisher : Springer Science & Business Media
ISBN 13 : 3642164498
Total Pages : 463 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Natural Time Analysis: The New View of Time by : Panayiotis Varotsos

Download or read book Natural Time Analysis: The New View of Time written by Panayiotis Varotsos and published by Springer Science & Business Media. This book was released on 2011-08-14 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the theory and the applications of a new time domain, termed natural time domain, that has been forwarded by the authors almost a decade ago (P.A. Varotsos, N.V. Sarlis and E.S. Skordas, Practica of Athens Academy 76, 294-321, 2001; Physical Review E 66, 011902, 2002). In particular, it has been found that novel dynamical features hidden behind time series in complex systems can emerge upon analyzing them in this new time domain, which conforms to the desire to reduce uncertainty and extract signal information as much as possible. The analysis in natural time enables the study of the dynamical evolution of a complex system and identifies when the system enters a critical stage. Hence, natural time plays a key role in predicting impending catastrophic events in general. Relevant examples of data analysis in this new time domain have been published during the last decade in a large variety of fields, e.g., Earth Sciences, Biology and Physics. The book explains in detail a series of such examples including the identification of the sudden cardiac death risk in Cardiology, the recognition of electric signals that precede earthquakes, the determination of the time of an impending major mainshock in Seismology, and the analysis of the avalanches of the penetration of magnetic flux into thin films of type II superconductors in Condensed Matter Physics. In general, this book is concerned with the time-series analysis of signals emitted from complex systems by means of the new time domain and provides advanced students and research workers in diverse fields with a sound grounding in the fundamentals of current research work on detecting (long-range) correlations in complex time series. Furthermore, the modern techniques of Statistical Physics in time series analysis, for example Hurst analysis, the detrended fluctuation analysis, the wavelet transform etc., are presented along with their advantages when natural time domain is employed.

Non-Equilibrium Phase Transitions

Author : Malte Henkel
Publisher : Springer Science & Business Media
ISBN 13 : 1402087659
Total Pages : 385 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Non-Equilibrium Phase Transitions by : Malte Henkel

Download or read book Non-Equilibrium Phase Transitions written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2008-11-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.

Investigation of Correction Methods for Interference Effects in Open-Jet Wind Tunnels

Author : Oliver Fischer
Publisher : Springer
ISBN 13 : 3658213795
Total Pages : 167 pages
Book Rating : 4.6/5 (582 download)

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Book Synopsis Investigation of Correction Methods for Interference Effects in Open-Jet Wind Tunnels by : Oliver Fischer

Download or read book Investigation of Correction Methods for Interference Effects in Open-Jet Wind Tunnels written by Oliver Fischer and published by Springer. This book was released on 2018-03-13 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oliver Fischer analyzes the interference effects occurring in free-stream wind tunnels as well as their correction and simulation. With this work, the investigated correction method and the comparability of its results as well as flow simulation results are improved. The model wind tunnel of the IVK, University of Stuttgart, is simulated in various wind tunnel configurations. The application of a correction procedure to the corresponding experimental data from the model wind tunnel of the IVK is examined. These correction results are directly comparable with interference-free simulation results and thus allow a conclusion on the functionality of the correction method. Based on these findings, this thesis proposes a modification of the correction method that improves the comparability of corrected experimental results and CFD simulations in idealized test conditions. About the Author Oliver Fischer works as an engineer in aerodynamics development for a renowned German automobile manufacturer.