[PDF] Stochastic Dynamics Out Of Equilibrium eBook

Author : Giambattista Giacomin
Publisher : Springer
Page : 649 pages
File Size : 50,29 MB
Release : 2019-06-30
Category : Mathematics
ISBN : 3030150968

GET BOOK

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.

Author : Tânia Tomé
Publisher : Springer
Page : 402 pages
File Size : 16,90 MB
Release : 2014-11-26
Category : Science
ISBN : 331911770X

GET BOOK

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.

Author : R. F. Streater
Publisher : Imperial College Press
Page : 393 pages
File Size : 31,37 MB
Release : 2009
Category : Science
ISBN : 1848162448

GET BOOK

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.

Author : Radu Balescu
Publisher : World Scientific
Page : 340 pages
File Size : 46,81 MB
Release : 1997-04-19
Category : Science
ISBN : 1783262613

GET BOOK

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./a

Author : Tânia Tomé
Publisher : Springer
Page : 394 pages
File Size : 14,32 MB
Release : 2015-01-09
Category : Science
ISBN : 9783319117713

GET BOOK

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.

Author : Uwe C. Täuber
Publisher : Cambridge University Press
Page : 529 pages
File Size : 16,98 MB
Release : 2014-03-06
Category : Science
ISBN : 0521842239

GET BOOK

A comprehensive and unified introduction to describing and understanding complex interacting systems.

Author : Vladas Sidoravicius
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 15,62 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461200636

GET BOOK

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.

Author : Ebeling Werner
Publisher : World Scientific Publishing Company
Page : 344 pages
File Size : 38,16 MB
Release : 2005-09-23
Category : Science
ISBN : 9813104635

GET BOOK

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.

Author : Roberto Livi
Publisher : Cambridge University Press
Page : 439 pages
File Size : 22,82 MB
Release : 2017-10-05
Category : Science
ISBN : 1107049547

GET BOOK

A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.