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Author : Merlijn Van Horssen
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (125 download)
Download or read book Large Deviations and Dynamical Phase Transitions for Quantum Markov Processes written by Merlijn Van Horssen and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G.R. Grimmett
Publisher : Springer Science & Business Media
ISBN 13 : 9401583269
Total Pages : 334 pages
Book Rating : 4.4/5 (15 download)
Download or read book Probability and Phase Transition written by G.R. Grimmett and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
Author : Enzo Olivieri
Publisher : Cambridge University Press
ISBN 13 : 9780521591638
Total Pages : 540 pages
Book Rating : 4.5/5 (916 download)
Download or read book Large Deviations and Metastability written by Enzo Olivieri and published by Cambridge University Press. This book was released on 2005-02-21 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Martin Janßen
Publisher : Springer
ISBN 13 : 3662496968
Total Pages : 236 pages
Book Rating : 4.6/5 (624 download)
Download or read book Generated Dynamics of Markov and Quantum Processes written by Martin Janßen and published by Springer. This book was released on 2016-04-28 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents Markov and quantum processes as two sides of a coin called generated stochastic processes. It deals with quantum processes as reversible stochastic processes generated by one-step unitary operators, while Markov processes are irreversible stochastic processes generated by one-step stochastic operators. The characteristic feature of quantum processes are oscillations, interference, lots of stationary states in bounded systems and possible asymptotic stationary scattering states in open systems, while the characteristic feature of Markov processes are relaxations to a single stationary state. Quantum processes apply to systems where all variables, that control reversibility, are taken as relevant variables, while Markov processes emerge when some of those variables cannot be followed and are thus irrelevant for the dynamic description. Their absence renders the dynamic irreversible. A further aim is to demonstrate that almost any subdiscipline of theoretical physics can conceptually be put into the context of generated stochastic processes. Classical mechanics and classical field theory are deterministic processes which emerge when fluctuations in relevant variables are negligible. Quantum mechanics and quantum field theory consider genuine quantum processes. Equilibrium and non-equilibrium statistics apply to the regime where relaxing Markov processes emerge from quantum processes by omission of a large number of uncontrollable variables. Systems with many variables often self-organize in such a way that only a few slow variables can serve as relevant variables. Symmetries and topological classes are essential in identifying such relevant variables. The third aim of this book is to provide conceptually general methods of solutions which can serve as starting points to find relevant variables as to apply best-practice approximation methods. Such methods are available through generating functionals. The potential reader is a graduate student who has heard already a course in quantum theory and equilibrium statistical physics including the mathematics of spectral analysis (eigenvalues, eigenvectors, Fourier and Laplace transformation). The reader should be open for a unifying look on several topics.
Author : Marek Biskup
Publisher : Springer Science & Business Media
ISBN 13 : 3540927956
Total Pages : 356 pages
Book Rating : 4.5/5 (49 download)
Download or read book Methods of Contemporary Mathematical Statistical Physics written by Marek Biskup and published by Springer Science & Business Media. This book was released on 2009-03-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. An introductory chapter on lattice spin models is useful as a background for other lectures of the collection. The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers. A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed. A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics.
Author : Masao Nagasawa
Publisher : Springer Nature
ISBN 13 : 3030626881
Total Pages : 339 pages
Book Rating : 4.0/5 (36 download)
Download or read book Markov Processes and Quantum Theory written by Masao Nagasawa and published by Springer Nature. This book was released on 2021-06-23 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schrödinger equation is a complex-valued evolution equation and the Schrödinger function is a complex-valued evolution function, important applications are given. Readers will learn about new mathematical methods (theory of stochastic processes) in solving problems of quantum phenomena. Readers will also learn how to handle stochastic processes in analyzing physical phenomena.
Author : Subir Sachdev
Publisher : Cambridge University Press
ISBN 13 : 9780521004541
Total Pages : 374 pages
Book Rating : 4.0/5 (45 download)
Download or read book Quantum Phase Transitions written by Subir Sachdev and published by Cambridge University Press. This book was released on 2001-04-23 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.
Author : Alex Kamenev
Publisher : Cambridge University Press
ISBN 13 : 1108846440
Total Pages : 514 pages
Book Rating : 4.1/5 (88 download)
Download or read book Field Theory of Non-Equilibrium Systems written by Alex Kamenev and published by Cambridge University Press. This book was released on 2023-01-05 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of non-equilibrium many-body systems is a rapidly expanding area of theoretical physics. Traditionally employed in laser physics and superconducting kinetics, these techniques have more recently found applications in the dynamics of cold atomic gases, mesoscopic and nano-mechanical systems, and quantum computation. This book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. A highly pedagogical and self-contained approach is adopted within the text, making it ideal as a reference for graduate students and researchers in condensed matter physics. In this Second Edition, the text has been substantially updated to include recent developments in the field such as driven-dissipative quantum systems, kinetics of fermions with Berry curvature, and Floquet kinetics of periodically driven systems, among many other important new topics. Problems have been added throughout, structured as compact guided research projects that encourage independent exploration.
Author : Mufa Chen
Publisher : World Scientific
ISBN 13 : 9812388117
Total Pages : 610 pages
Book Rating : 4.8/5 (123 download)
Download or read book From Markov Chains to Non-equilibrium Particle Systems written by Mufa Chen and published by World Scientific. This book was released on 2004 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. It also deals with a typical class of non-equilibrium particle systems, including the typical Schlögl model taken from statistical physics. The constructions, ergodicity and phase transitions for this class of Markov interacting particle systems, namely, reaction-diffusion processes, are presented. In this new edition, a large part of the text has been updated and two-and-a-half chapters have been rewritten. The book is self-contained and can be used in a course on stochastic processes for graduate students.
Author : Farrukh Mukhamedov
Publisher : Springer
ISBN 13 : 3319228374
Total Pages : 243 pages
Book Rating : 4.3/5 (192 download)
Download or read book Quantum Quadratic Operators and Processes written by Farrukh Mukhamedov and published by Springer. This book was released on 2015-10-12 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes. The asymptotic behavior of dynamical systems generated by classical and quantum quadratic operators is investigated and various properties of quantum quadratic operators are studied, providing an insight into the construction of quantum channels. This book is suitable as a textbook for an advanced undergraduate/graduate level course or summer school in quantum dynamical systems. It can also be used as a reference book by researchers looking for interesting problems to work on, or useful techniques and discussions of particular problems. Since it includes the latest developments in the fields of quadratic dynamical systems, Markov processes and quantum stochastic processes, researchers at all levels are likely to find the book inspiring and useful.
Author : Richard S. Ellis
Publisher : Springer
ISBN 13 : 3540290605
Total Pages : 376 pages
Book Rating : 4.5/5 (42 download)
Download or read book Entropy, Large Deviations, and Statistical Mechanics written by Richard S. Ellis and published by Springer. This book was released on 2007-02-03 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... Each chapter of the book is followed by a notes section and by a problems section. There are over 100 problems, many of which have hints. The book may be recommended as a text, it provides a completly self-contained reading ..." --S. Pogosian in Zentralblatt für Mathematik
Author :
Publisher : Elsevier
ISBN 13 : 0080538762
Total Pages : 517 pages
Book Rating : 4.0/5 (85 download)
Download or read book Phase Transitions and Critical Phenomena written by and published by Elsevier. This book was released on 2000-09-21 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. It has moved into a central place in condensed matter studies.Statistical physics, and more specifically, the theory of transitions between states of matter, more or less defines what we know about 'everyday' matter and its transformations.The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments.
Author : Tzuu-Shuh Chiang
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (319 download)
Download or read book Large Deviation of Markov Processes written by Tzuu-Shuh Chiang and published by . This book was released on 1980 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G Gyorgyi
Publisher : World Scientific
ISBN 13 : 981450565X
Total Pages : 602 pages
Book Rating : 4.8/5 (145 download)
Download or read book From Phase Transitions To Chaos: Topics In Modern Statistical Physics written by G Gyorgyi and published by World Scientific. This book was released on 1992-04-29 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises about forty research papers and essays covering a wide range of subjects in the forefront of contemporary statistical physics. The contributors are renown scientists and leading authorities in several different fields. This book is dedicated to Péter Szépfalusy on the occasion of his sixtieth birthday. Emphasis is placed on his two main areas of research, namely phase transitions and chaotic dynamical systems, as they share common aspects like the applicability of the probabilistic approach or scaling behaviour and universality. Several papers deal with equilibrium phase transitions, critical dynamics, and pattern formation. Also represented are disordered systems, random field systems, growth processes, and neural network. Statistical properties of interacting electron gases, such as the Kondo lattice, the Wigner crystal, and the Hubbard model, are treated. In the field of chaos, Hamiltonian transport and resonances, strange attractors, multifractal characteristics of chaos, and the effect of weak perturbations are discussed. A separate section is devoted to selected mathematical aspects of dynamical systems like the foundation of statistical mechanics, including the problem of ergodicity, and rigorous results on quantum chaos.
Author : Luigi Accardi
Publisher : Springer
ISBN 13 : 3540395709
Total Pages : 541 pages
Book Rating : 4.5/5 (43 download)
Download or read book Quantum Probability and Applications II written by Luigi Accardi and published by Springer. This book was released on 2006-11-14 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Naoto Shiraishi
Publisher : Springer Nature
ISBN 13 : 9811981868
Total Pages : 437 pages
Book Rating : 4.8/5 (119 download)
Download or read book An Introduction to Stochastic Thermodynamics written by Naoto Shiraishi and published by Springer Nature. This book was released on 2023-05-08 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamentals of stochastic thermodynamics, one of the most central subjects in non-equilibrium statistical mechanics. It also explores many recent advances, e.g., in information thermodynamics, the thermodynamic uncertainty relation, and the trade-off relation between efficiency and power. The content is divided into three main parts, the first of which introduces readers to fundamental topics in stochastic thermodynamics, e.g., the basics of stochastic processes, the fluctuation theorem and its variants, information thermodynamics, and large deviation theory. In turn, parts two and three explore advanced topics such as autonomous engines (engines not controlled externally) and finite speed engines, while also explaining the key concepts from recent stochastic thermodynamics theory that are involved. To fully benefit from the book, readers only need an undergraduate-level background in statistical mechanics and quantum mechanics; no background in information theory or stochastic processes is needed. Accordingly, the book offers a valuable resource for early graduate or higher-level readers who are unfamiliar with this subject but want to keep up with the cutting-edge research in this field. In addition, the author’s vivid descriptions interspersed throughout the book will help readers grasp ‘living’ research developments and begin their own research in this field.
Author : V. I. Yukalov
Publisher : World Scientific
ISBN 13 : 9789971504748
Total Pages : 262 pages
Book Rating : 4.5/5 (47 download)
Download or read book Lectures on Phase Transitions written by V. I. Yukalov and published by World Scientific. This book was released on 1990 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the problem of phase transitions, emphasizing the generality and universality of the methods and models used. The course is basically concentrated on the problems of vacuum degeneration in macroscopic systems and a fundamental concept of quasiaverages by Bogolubov playing a special role in the theory of phase transitions and critical phenomena. An analysis of the connection between phase transition and spontaneous symmetry breaking in a macroscopic system allows a unique description of both first- and second-order phase transitions.The unique features of this book are: (i) a unique approach of describing first ? as well as second-order phase transitions, based on the Bogolubov concept of quasi-averages.(ii) a detailed presentation of the material and at the same time a review of modern problems.(iii) a general character of developed ideas that could be applied to various particular systems of condensed matter physics, nuclear physics and high-energy physics.
