Stochastic Dynamics Out Of Equilibrium
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Stochastic Dynamics Out Of Equilibrium
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Author : Giambattista Giacomin
language : en
Publisher: Springer
Release Date : 2019-06-30
Stochastic Dynamics Out Of Equilibrium written by Giambattista Giacomin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-30 with Mathematics categories.
Stemming from the IHP trimester "Stochastic Dynamics Out of Equilibrium", this collection of contributions focuses on aspects of nonequilibrium dynamics and its ongoing developments. It is common practice in statistical mechanics to use models of large interacting assemblies governed by stochastic dynamics. In this context "equilibrium" is understood as stochastically (time) reversible dynamics with respect to a prescribed Gibbs measure. Nonequilibrium dynamics correspond on the other hand to irreversible evolutions, where fluxes appear in physical systems, and steady-state measures are unknown. The trimester, held at the Institut Henri Poincaré (IHP) in Paris from April to July 2017, comprised various events relating to three domains (i) transport in non-equilibrium statistical mechanics; (ii) the design of more efficient simulation methods; (iii) life sciences. It brought together physicists, mathematicians from many domains, computer scientists, as well as researchers working at the interface between biology, physics and mathematics. The present volume is indispensable reading for researchers and Ph.D. students working in such areas.
Stochastic Dynamics And Irreversibility
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Author : Tânia Tomé
language : en
Publisher: Springer
Release Date : 2014-11-26
Stochastic Dynamics And Irreversibility written by Tânia Tomé and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-26 with Science categories.
This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomena both in thermodynamic equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics. It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications.
Statistical Dynamics
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Author : Radu Balescu
language : en
Publisher: World Scientific
Release Date : 1997-04-19
Statistical Dynamics written by Radu Balescu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-19 with Science categories.
In the first part of this book, classical nonequilibrium statistical mechanics is developed. Starting from the Hamiltonian dynamics of the molecules, it leads through the irreversible kinetic equations to the level of fluid mechanics. For simple systems, all the transport coefficients are determined by the molecular properties. The second part of the book treats complex systems that require a more extensive use of statistical concepts. Such problems, which are at the forefront of research, include: continuous time random walks, non-Markovian diffusion processes, percolation and related critical phenomena, transport on fractal structures, transport and deterministic chaos. These “strange transport processes” differ significantly from the usual (diffusive) transport. Their inclusion in a general treatise on statistical mechanics is a special feature of this invaluable book. Contents: States, Dynamical Functions, EvolutionGeneral Formalism of Statistical MechanicsReduced Distribution Functions and Correlation FunctionsThe Mean Field ApproximationThe Weak Coupling Kinetic EquationKinetic Equation for Dilute GasesKinetic Equation for PlasmasProperties of Kinetic EquationsHydrodynamics and TransportTransport and Autocorrelation FunctionsRandom Walks and TransportCritical PhenonenaTransport on Percolation StructuresChaos and Transport Readership: Students and researchers in statistical physics, plasma physics, theoretical physics, mathematical physics, classical mechanics, continuum mechanics, chaos/dynamical systems, and materials science. Keywords:Statistical Mechanics (Non-Equilibrium);Kinetic Theory (of Gases, of Plasmas);Transport Theory;Diffusion;Stochastic Processes;Percolation;Anomalous Transport;Hamiltonian Maps
Stochastic Dynamics And Irreversibility
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Author : Tânia Tomé
language : en
Publisher: Springer
Release Date : 2015-01-09
Stochastic Dynamics And Irreversibility written by Tânia Tomé and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-09 with Science categories.
This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomena both in thermodynamic equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics. It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications.
Statistical Dynamics
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Author : R. F. Streater
language : en
Publisher: Imperial College Press
Release Date : 2009
Statistical Dynamics written by R. F. Streater and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Science categories.
How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of the molecules. When applied to chemical reactions, the theory leads to the usual nonlinear reaction-diffusion equations as well as modifications of them. These can exhibit oscillations, or can converge to equilibrium.In this second edition, the text is simplified in parts and the bibliography has been expanded. The main difference is the addition of two new chapters; in the first, classical fluid dynamics is introduced. A lattice model is developed, which in the continuum limit gives us the Euler equations. The five Navier-Stokes equations are also presented, modified by a diffusion term in the continuity equation. The second addition is in the last chapter, which now includes estimation theory, both classical and quantum, using information geometry.
In And Out Of Equilibrium
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Author : Vladas Sidoravicius
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
In And Out Of Equilibrium written by Vladas Sidoravicius and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom were personally responsible for advances in the various subfields of probability. Graduate students and researchers in probability theory and math physics will find this book a useful reference.
Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems
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Author : Ebeling Werner
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-09-23
Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems written by Ebeling Werner and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-23 with Science categories.
This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.
An Introduction To Stochastic Processes And Nonequilibrium Statistical Physics
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Author : Horacio S Wio
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-09-05
An Introduction To Stochastic Processes And Nonequilibrium Statistical Physics written by Horacio S Wio and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-05 with Science categories.
This book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems. It first introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a purely probabilistic angle. The aim is to show the important role played by fluctuations in far-from-equilibrium situations, where noise can promote order and organization, switching among non-equilibrium states, etc. The second part adopts a more historical perspective, retracing the first steps taken from the purely thermodynamic as well as from the kinetic points of view to depart (albeit slightly) from equilibrium. The third part revisits the path outlined in the first one, but now undertakes the mesoscopic description of extended systems, where new phenomena (patterns, long-range correlations, scaling far from equilibrium, etc.) are observed. This book is a revised and extended version of an earlier edition published in 1994. It includes topics of current research interest in far-from-equilibrium situations like noise-induced phenomena and free energy-like functionals, surface growth and roughening, etc. It can be used as an advanced textbook by graduate students in physics. It also covers topics of current interest in other disciplines and interdisciplinary approaches in engineering, biophysics, and economics, among others. The level of detail in the book is enough to capture the interest of the reader and facilitate the path to more learning by exploring the modern research literature provided. At the same time, the book is also complete enough to be self-contained for those readers who just need an overview of the subject.
In And Out Of Equilibrium
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Author : Vladas Sidoravicius
language : en
Publisher: Birkhauser
Release Date : 2002
In And Out Of Equilibrium written by Vladas Sidoravicius and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
For more than two decades percolation theory, random walks, interacting parti cle systems and topics related to statistical mechanics have experienced inten sive growth. In the last several years, especially remarkable progress has been made in a number of directions, such as: Wulff constructions above two dimen sions for percolation, Potts and Ising models, classification of random walks in random environments, better understanding of fluctuations in two dimen sional growth processes, the introduction and remarkable uses of the Stochastic Loewner Equation, the rigorous derivation of exact intersection exponents for planar Brownian motion, and finally, the proof of conformal invariance for crit ical percolation scaling limits on the triangular lattice. It was thus a fortuitous time to bring together researchers, including many personally responsible for these advances, in the framework of the IVth Brazilian School of Probability, held at Mambucaba on August 14-19,2000. This School, first envisioned and organized by IMPA's probability group in 1997, has since developed into an annual meeting with an almost constant format: it usually offers three advanced courses delivered by prominent scientists, combined with a high-level conference. This volume contains invited articles associated with that meeting, and we hope it will provide the reader with an accurate impression regarding the current state of affairs in these important fields of probability theory.
Statistical Dynamics
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Author : Ray F. Streater
language : en
Publisher:
Release Date : 2009
Statistical Dynamics written by Ray F. Streater and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.