Stochastic Dynamics Out Of Equilibrium

Author : Giambattista Giacomin,Stefano Olla,Ellen Saada,Herbert Spohn,Gabriel Stoltz
Publisher : Springer
Page : 649 pages
File Size : 44,6 Mb
Release : 2019-06-30
Category : Mathematics
ISBN : 9783030150969

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Stochastic Dynamics Out of Equilibrium by Giambattista Giacomin,Stefano Olla,Ellen Saada,Herbert Spohn,Gabriel Stoltz Pdf

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,Mário J. de Oliveira
Publisher : Springer
Page : 402 pages
File Size : 40,9 Mb
Release : 2014-11-26
Category : Science
ISBN : 9783319117706

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Stochastic Dynamics and Irreversibility by Tânia Tomé,Mário J. de Oliveira Pdf

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 : Radu Balescu
Publisher : World Scientific
Page : 340 pages
File Size : 40,8 Mb
Release : 1997-04-19
Category : Science
ISBN : 9781783262618

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Statistical Dynamics by Radu Balescu Pdf

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

Author : R. F. Streater
Publisher : Imperial College Press
Page : 393 pages
File Size : 42,6 Mb
Release : 2009
Category : Science
ISBN : 9781848162440

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Statistical Dynamics by R. F. Streater Pdf

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 : Tânia Tomé,Mário J. Oliveira
Publisher : Springer
Page : 394 pages
File Size : 42,5 Mb
Release : 2015-01-09
Category : Science
ISBN : 3319117718

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Stochastic Dynamics and Irreversibility by Tânia Tomé,Mário J. Oliveira Pdf

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 : Vladas Sidoravicius
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200635

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In and Out of Equilibrium by Vladas Sidoravicius Pdf

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,Sokolov Igor
Publisher : World Scientific Publishing Company
Page : 344 pages
File Size : 52,8 Mb
Release : 2005-09-23
Category : Science
ISBN : 9789813104631

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Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems by Ebeling Werner,Sokolov Igor Pdf

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 : Horacio S Wio,Roberto R Deza,Juan M López
Publisher : World Scientific Publishing Company
Page : 336 pages
File Size : 50,8 Mb
Release : 2012-09-05
Category : Science
ISBN : 9789814434638

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An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics by Horacio S Wio,Roberto R Deza,Juan M López Pdf

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.

Author : Vladas Sidoravicius
Publisher : Birkhauser
Page : 488 pages
File Size : 44,7 Mb
Release : 2002
Category : Mathematics
ISBN : UOM:39015055186293

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In and Out of Equilibrium by Vladas Sidoravicius Pdf

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.

Author : Luca Peliti,Simone Pigolotti
Publisher : Princeton University Press
Page : 272 pages
File Size : 40,6 Mb
Release : 2021-07-06
Category : Mathematics
ISBN : 9780691201771

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Stochastic Thermodynamics by Luca Peliti,Simone Pigolotti Pdf

The first comprehensive graduate-level introduction to stochastic thermodynamics Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to interpret thermodynamic concepts for systems ranging in size from a few to hundreds of nanometers, the behavior of which is inherently random due to thermal fluctuations. This growing field therefore describes the nonequilibrium dynamics of small systems, such as artificial nanodevices and biological molecular machines, which are of increasing scientific and technological relevance. This textbook provides an up-to-date pedagogical introduction to stochastic thermodynamics, guiding readers from basic concepts in statistical physics, probability theory, and thermodynamics to the most recent developments in the field. Gradually building up to more advanced material, the authors consistently prioritize simplicity and clarity over exhaustiveness and focus on the development of readers’ physical insight over mathematical formalism. This approach allows the reader to grow as the book proceeds, helping interested young scientists to enter the field with less effort and to contribute to its ongoing vibrant development. Chapters provide exercises to complement and reinforce learning. Appropriate for graduate students in physics and biophysics, as well as researchers, Stochastic Thermodynamics serves as an excellent initiation to this rapidly evolving field. Emphasizes a pedagogical approach to the subject Highlights connections with the thermodynamics of information Pays special attention to molecular biophysics applications Privileges physical intuition over mathematical formalism Solutions manual available on request for instructors adopting the book in a course

Author : Uwe C. Täuber
Publisher : Cambridge University Press
Page : 529 pages
File Size : 46,8 Mb
Release : 2014-03-06
Category : Science
ISBN : 9780521842235

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Critical Dynamics by Uwe C. Täuber Pdf

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

Author : Ray F. Streater
Publisher : Unknown
Page : 393 pages
File Size : 51,5 Mb
Release : 2009
Category : Electronic
ISBN : 1848162499

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Statistical Dynamics by Ray F. Streater Pdf

Author : Paolo Sibani,Henrik Jeldtoft Jensen
Publisher : World Scientific Publishing Company
Page : 300 pages
File Size : 44,6 Mb
Release : 2013-02-20
Category : Mathematics
ISBN : 9781848169951

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Stochastic Dynamics of Complex Systems by Paolo Sibani,Henrik Jeldtoft Jensen Pdf

Dynamical evolution over long time scales is a prominent feature of all the systems we intuitively think of as complex — for example, ecosystems, the brain or the economy. In physics, the term ageing is used for this type of slow change, occurring over time scales much longer than the patience, or indeed the lifetime, of the observer. The main focus of this book is on the stochastic processes which cause ageing, and the surprising fact that the ageing dynamics of systems which are very different at the microscopic level can be treated in similar ways. The first part of this book provides the necessary mathematical and computational tools and the second part describes the intuition needed to deal with these systems. Some of the first few chapters have been covered in several other books, but the emphasis and selection of the topics reflect both the authors' interests and the overall theme of the book. The second part contains an introduction to the scientific literature and deals in some detail with the description of complex phenomena of a physical and biological nature, for example, disordered magnetic materials, superconductors and glasses, models of co-evolution in ecosystems and even of ant behaviour. These heterogeneous topics are all dealt with in detail using similar analytical techniques. This book emphasizes the unity of complex dynamics and provides the tools needed to treat a large number of complex systems of current interest. The ideas and the approach to complex dynamics it presents have not appeared in book form until now.

Author : Werner Ebeling,Lutz Schimansky-Geier,Yuri M Romanovsky
Publisher : World Scientific
Page : 344 pages
File Size : 53,7 Mb
Release : 2003-01-29
Category : Science
ISBN : 9789814487498

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Stochastic Dynamics of Reacting Biomolecules by Werner Ebeling,Lutz Schimansky-Geier,Yuri M Romanovsky Pdf

This is a book about the physical processes in reacting complex molecules, particularly biomolecules. In the past decade scientists from different fields such as medicine, biology, chemistry and physics have collected a huge amount of data about the structure, dynamics and functioning of biomolecules. Great progress has been achieved in exploring the structure of complex molecules. However, there is still a lack of understanding of the dynamics and functioning of biological macromolecules. In particular this refers to enzymes, which are the basic molecular machines working in living systems. This book contributes to the exploration of the physical mechanisms of these processes, focusing on critical aspects such as the role of nonlinear excitations and of stochastic effects. An extensive range of original results has been obtained in the last few years by the authors, and these results are presented together with a comprehensive survey of the state of the art in the field. Contents:Introduction to the Reaction Theory and Cluster Dynamics of Enzymes (W Ebeling, A Netrebko & Yu Romanovsky)Tools of Stochastic Dynamics (L Schimansky-Geier & P Talkner)Motion of Test Particles in a 2-D Potential Landscape (O A Chichigina, A V Netrebko & N V Netrebko)Microscopic Simulations of Activation and Dissociation (W Ebeling, V Yu Podlipchuk, M G Sapeshinsky & A A Valuev)Excitations on Rings of Molecules (A Chetverikov, W Ebeling, M Jenssen & Yu Romanovsky)Fermi Resonance and Kramers Problem in 2-D Force Field (S V Kroo, A V Netrebko, Yu M Romanovsky & L Schimansky-Geier)Molecular Scissors. Cluster Model of Acetylcholinesterase (A Yu Chikishev, S V Kroo, A V Netrebko, N V Netrebko & Yu Romanovsky)Dynamics of Proton Transfer in the Active Site of Chymotrypsin (A Yu Chikishev, B A Grishanin & E V Shuvalova)On the Damping of Cluster Oscillations in Protein Molecules (A Yu Chikishev, A V Netrebko & Yu M Romanovsky)Protein Dynamics and New Approaches to the Molecular Mechanisms of Protein Functioning (K V Shaitan) Readership: Researchers and graduate students in physics, biophysics, molecular biology and the life sciences; experts on nonlinear dynamics and the stochastic process in molecular systems and biomolecules. Keywords:Stochastic Dynamics;Reacting Complex Molecules;Biomolecules;Enzymatic Reactions;Molecular Dynamics;Nonlinear Excitations;Resonances

Author : Artem Ryabov
Publisher : Springer
Page : 118 pages
File Size : 51,5 Mb
Release : 2015-11-28
Category : Science
ISBN : 9783319271880

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Stochastic Dynamics and Energetics of Biomolecular Systems by Artem Ryabov Pdf

This thesis both broadens and deepens our understanding of the Brownian world. It addresses new problems in diffusion theory that have recently attracted considerable attention, both from the side of nanotechnology and from the viewpoint of pure academic research. The author focusses on the difussion of interacting particles in restricted geometries and under externally controlled forces. These geometries serve, for example, to model ion transport through narrow channels in cell membranes or a Brownian particle diffusing in an optical trap, now a paradigm for both theory and experiment. The work is exceptional in obtaining explicit analytically formulated answers to such realistic, experimentally relevant questions. At the same time, with its detailed exposition of the problems and a complete set of references, it presents a clear and broadly accessible introduction to the domain. Many of the problem settings and the corresponding exact asymptotic laws are completely new in diffusion theory.