The Statistical Mechanics of Irreversible Phenomena

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Release : 2022-07-28
Genre : Science
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Book Rating : 725/5 ( reviews)

The Statistical Mechanics of Irreversible Phenomena - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Statistical Mechanics of Irreversible Phenomena write by Pierre Gaspard. This book was released on 2022-07-28. The Statistical Mechanics of Irreversible Phenomena available in PDF, EPUB and Kindle. A comprehensive overview of recent progress in nonequilibrium statistical mechanics, including applications across a range of disciplines.

Nonequilibrium Statistical Physics

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Release : 2017-10-05
Genre : Science
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Book Rating : 047/5 ( reviews)

Nonequilibrium Statistical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonequilibrium Statistical Physics write by Roberto Livi. This book was released on 2017-10-05. Nonequilibrium Statistical Physics available in PDF, EPUB and Kindle. 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.

Nonequilibrium and Irreversibility

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Release : 2014-06-10
Genre : Science
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Book Rating : 583/5 ( reviews)

Nonequilibrium and Irreversibility - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonequilibrium and Irreversibility write by Giovanni Gallavotti. This book was released on 2014-06-10. Nonequilibrium and Irreversibility available in PDF, EPUB and Kindle. 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.

Statistical Mechanics of Irreversible Processes in Crystals

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Release : 1955
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Statistical Mechanics of Irreversible Processes in Crystals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Mechanics of Irreversible Processes in Crystals write by I. Prigogine. This book was released on 1955. Statistical Mechanics of Irreversible Processes in Crystals available in PDF, EPUB and Kindle. Irreversible phenomena in crystals, which are not related to processes involving energy dissipation, are studied. An infinite three-dimensional assembly of narmonic oscillators is studied; their position and velocities are considered as random variables whose probability distributions are known at the initial moment. The asymptotic values of these distribution functions can be calculated by solving the equations of motion of the lattice points in terms of the initial conditions. 'Influence functions' are introduced, which are related to the frequency spectrum of the lattice. The second moments are shown to be quasi-invariant, i.e. they tend to a definite asymtotic value after a more or less complicated variation. No other condition is imposed on the initial distribution functions than the absence of correlation at large distances. If they are such that the equipartition of the energy is initially achieved between the normal modes, without any correlation between their phases, all the various moments and local distribution functions tend to their equilibrium value.

Statistical Physics

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Release : 2013-03-27
Genre : Science
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Book Rating : 494/5 ( reviews)

Statistical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Physics write by Ian Ford. This book was released on 2013-03-27. Statistical Physics available in PDF, EPUB and Kindle. This undergraduate textbook provides a statistical mechanical foundation to the classical laws of thermodynamics via a comprehensive treatment of the basics of classical thermodynamics, equilibrium statistical mechanics, irreversible thermodynamics, and the statistical mechanics of non-equilibrium phenomena. This timely book has a unique focus on the concept of entropy, which is studied starting from the well-known ideal gas law, employing various thermodynamic processes, example systems and interpretations to expose its role in the second law of thermodynamics. This modern treatment of statistical physics includes studies of neutron stars, superconductivity and the recently developed fluctuation theorems. It also presents figures and problems in a clear and concise way, aiding the student’s understanding.