Nonequilibrium And Irreversibility

Author : Giovanni Gallavotti
Publisher : Springer
ISBN 13 : 3319067583
Total Pages : 261 pages
Book Rating : 4.82/5 ( download)

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Download or read book Nonequilibrium and Irreversibility written by Giovanni Gallavotti and published by Springer. This book was released on 2014-06-10 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states of particles or of fluids (understood as probability distributions on microscopic configurations or on the fields describing continua) have received important new ideas and data from numerical simulations and reviews are needed. The starting point is to find out which time invariant distributions come into play in physics. A special feature of this book is the historical approach. To identify the problems the author analyzes the papers of the founding fathers Boltzmann, Clausius and Maxwell including translations of the relevant (parts of) historical documents. He also establishes a close link between treatment of irreversible phenomena in statistical mechanics and the theory of chaotic systems at and beyond the onset of turbulence as developed by Sinai, Ruelle, Bowen (SRB) and others: the author gives arguments intending to support strongly the viewpoint that stationary states in or out of equilibrium can be described in a unified way. In this book it is the "chaotic hypothesis", which can be seen as an extension of the classical ergodic hypothesis to non equilibrium phenomena, that plays the central role. It is shown that SRB - often considered as a kind of mathematical playground with no impact on physical reality - has indeed a sound physical interpretation; an observation which to many might be new and a very welcome insight. Following this, many consequences of the chaotic hypothesis are analyzed in chapter 3 - 4 and in chapter 5 a few applications are proposed. Chapter 6 is historical: carefully analyzing the old literature on the subject, especially ergodic theory and its relevance for statistical mechanics; an approach which gives the book a very personal touch. The book contains an extensive coverage of current research (partly from the authors and his coauthors publications) presented in enough detail so that advanced students may get the flavor of a direction of research in a field which is still very much alive and progressing. Proofs of theorems are usually limited to heuristic sketches privileging the presentation of the ideas and providing references that the reader can follow, so that in this way an overload of this text with technical details could be avoided.

Author : C. Lindblad
Publisher : Springer Science & Business Media
ISBN 13 : 9781402003202
Total Pages : 184 pages
Book Rating : 4.0X/5 ( download)

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Download or read book Non-Equilibrium Entropy and Irreversibility written by C. Lindblad and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of deriving irreversible thermodynamics from the re versible microscopic dynamics has been on the agenda of theoreti cal physics for a century and has produced more papers than can be digested by any single scientist. Why add to this too long list with yet another work? The goal is definitely not to give a gen eral review of previous work in this field. My ambition is rather to present an approach differing in some key aspects from the stan dard treatments, and to develop it as far as possible using rather simple mathematical tools (mainly inequalities of various kinds). However, in the course of this work I have used a large number of results and ideas from the existing literature, and the reference list contains contributions from many different lines of research. As a consequence the reader may find the arguments a bit difficult to follow without some previous exposure to this set of problems.

Author : Roberto Livi
Publisher : Cambridge University Press
ISBN 13 : 1108364047
Total Pages : 439 pages
Book Rating : 4.41/5 ( download)

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Download or read book Nonequilibrium Statistical Physics written by Roberto Livi and published by Cambridge University Press. This book was released on 2017-10-05 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical mechanics has been proven to be successful at describing physical systems at thermodynamic equilibrium. Since most natural phenomena occur in nonequilibrium conditions, the present challenge is to find suitable physical approaches for such conditions: this book provides a pedagogical pathway that explores various perspectives. The use of clear language, and explanatory figures and diagrams to describe models, simulations and experimental findings makes the book a valuable resource for undergraduate and graduate students, and also for lecturers organizing teaching at varying levels of experience in the field. Written in three parts, it covers basic and traditional concepts of nonequilibrium physics, modern aspects concerning nonequilibrium phase transitions, and application-orientated topics from a modern perspective. A broad range of topics is covered, including Langevin equations, Levy processes, directed percolation, kinetic roughening and pattern formation.

Author : Noëlle Pottier
Publisher : Oxford University Press
ISBN 13 : 0199556881
Total Pages : 512 pages
Book Rating : 4.85/5 ( download)

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Download or read book Nonequilibrium Statistical Physics written by Noëlle Pottier and published by Oxford University Press. This book was released on 2010 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a united approach to the statistical physics of systems near equilibrium: it brings out the profound unity of the laws which govern them and gathers together results usually fragmented in the literature. It will be useful both as a textbook about irreversible phenomena and as a reference book for researchers.

Author : Ilya Prigogine
Publisher : Courier Dover Publications
ISBN 13 : 0486815552
Total Pages : 337 pages
Book Rating : 4.58/5 ( download)

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Download or read book Non-Equilibrium Statistical Mechanics written by Ilya Prigogine and published by Courier Dover Publications. This book was released on 2017-03-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.

Author : Roberto Livi
Publisher : Cambridge University Press
ISBN 13 : 1107049547
Total Pages : 439 pages
Book Rating : 4.43/5 ( download)

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Download or read book Nonequilibrium Statistical Physics written by Roberto Livi and published by Cambridge University Press. This book was released on 2017-10-05 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.

Author : Dieter Straub
Publisher : Academic Press
ISBN 13 : 0080527078
Total Pages : 395 pages
Book Rating : 4.79/5 ( download)

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Download or read book Alternative Mathematical Theory of Non-equilibrium Phenomena written by Dieter Straub and published by Academic Press. This book was released on 1996-10-09 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alternative Mathematical Theory of Non-equilibrium Phenomena presents an entirely new theoretical approach to complex non-equilibrium phenomena, especially Gibbs/Falk thermodynamics and fluid mechanics. This innovative new theory allows for inclusion of all state variables and introduces a new vector-dissipation velocity-which leads to useful restatements of momentum, the Second Law, and tensors for the laws of motion, friction, and heat conduction. This application-oriented text is relatively self-contained and is an excellent guide-book for engineers with a strong interest in fundamentals, or for professionals using applied mathematics and physics in engineering applications. This book emphasizes macroscopic phenomena, focusing specifically on gaseous states, though relations to liquid and crystalline states are also considered. The author presents a new Alternative Continuum Theory of Compressible Fluids (AT) which providesa qualitative description of the subject in predominantly physical terms, minimizing the mathematical premises. The methodology discussed has applications in a wide range of fields outside of physics in areas including General System Theory, TheoreticalEconomics, and Biophysics and Medicine. Presents the first theory capable of handling non-equilibria phenomena Offers a unified theory of all branches of macroscopic physics Considers a consistent and uniform view of reality, supported by modern mathematics, leading to results different than those produced by classical theories Results in a change of paradigms in physics, engineering, and natural philosophy

Author : Da-Quan Jiang
Publisher : Springer Science & Business Media
ISBN 13 : 9783540206118
Total Pages : 296 pages
Book Rating : 4.16/5 ( download)

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Download or read book Mathematical Theory of Nonequilibrium Steady States written by Da-Quan Jiang and published by Springer Science & Business Media. This book was released on 2004 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : V. Parmon
Publisher : Elsevier
ISBN 13 : 9780080931968
Total Pages : 340 pages
Book Rating : 4.60/5 ( download)

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Download or read book Thermodynamics of Non-Equilibrium Processes for Chemists with a Particular Application to Catalysis written by V. Parmon and published by Elsevier. This book was released on 2009-09-26 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamics of Non-Equilibrium Processes for Chemists with a Particular Application to Catalysis consists of materials adapted from lectures on the thermodynamics of nonequilibrium processes that have been taught at the Department of Natural Sciences of Novosibirsk State University since 1995. The thermodynamics of nonequilibrium processes traditionally required students to have a strong background in physics. However, the materials featured in this volume allow anyone with knowledge in classical thermodynamics of equilibrium processes and traditional chemical kinetics to understand the subject. Topics discussed include systems in the thermodynamics of irreversible processes; thermodynamics of systems that are close to and far from equilibrium; thermodynamics of catalysts; the application of nonequilibrium thermodynamics to material science; and the relationship between entropy and information. This book will be helpful for research into complex chemical transformations, particularly catalytic transformations. Applies simple approaches of non-equilibrium thermodynamics to analyzing properties of chemically reactive systems Covers systems far from equilibrium, allowing the consideration of most chemically reactive systems of a chemical or biological nature This approach resolves many complicated problems in the teaching of chemical kinetics

Author : Tânia Tomé
Publisher : Springer
ISBN 13 : 331911770X
Total Pages : 402 pages
Book Rating : 4.06/5 ( download)

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Download or read book Stochastic Dynamics and Irreversibility written by Tânia Tomé and published by Springer. This book was released on 2014-11-26 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.