This book provides an introduction to nonequilibrium statistical mechanics applied to ideas in chaotic dynamics. The author illustrates how techniques in statistical mechanics can be used to calculate quantities that are essential to understanding the chaotic behavior of fluid systems. Beginning with important background information, the volume goes on to introduce basic concepts of dynamical systems theory through simple examples before explaining advanced topics such as SRB and Gibbs measures. It will be of great interest to graduate students and researchers in condensed matter physics, nonlinear science, theoretical physics, mathematics, and theoretical chemistry.
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Editorial Reviews
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"...a very valuable, enjoyable, and useful book to be highly recommended to any student or professional in the field of statistical mechanics at large." SIAM
"The entire book makes enjoyable and informative reading and is warmly recommended to anybody interested in either nonequilibrium statistical mechanics or dynamical systems theory, or both...Thirty-odd years of the author's expertise together with his clarity style make this set of lectures a real treat." Pageoph
"This book is a convincing invitation to modern mathematical concepts and new techniques. It will prove useful and attractive to graduate students and teachers in this active field." Mathematical Reviews
"...a first and needed step toward a systematic simple presentation of a developing methodology." Physics Today
"It gives a good introduction to modern research in transport theory which relates macroscopic properties of large systems to underlying microscopic dynamics. The book does not pretend to be mathematically rigorous but presents an extremely readable account of the conceptual foundations of nonequilibrium statistical mechanics...To summarize, this is a very well written and readable book by one of the experts in the feild. Its emphasis on conceptual developments, illustrated by simple dynamical models provides interesting reading not just for specialists, but also for a more general physical audience seeking a better understanding of the current status of the conceptual foundations of nonequilibrium statistical mechanics." Jrnl of Statistical Physics Vol.104,
"The entire book makes enjoyable and informative reading and is warmly recommended to anybody interested in either nonequilibrium statistical mechanics or dynamical systems theory, or both...Thirty-odd years of the author's expertise together with his clarity style make this set of lectures a real treat." Pageoph
"This book is a convincing invitation to modern mathematical concepts and new techniques. It will prove useful and attractive to graduate students and teachers in this active field." Mathematical Reviews
"...a first and needed step toward a systematic simple presentation of a developing methodology." Physics Today
"It gives a good introduction to modern research in transport theory which relates macroscopic properties of large systems to underlying microscopic dynamics. The book does not pretend to be mathematically rigorous but presents an extremely readable account of the conceptual foundations of nonequilibrium statistical mechanics...To summarize, this is a very well written and readable book by one of the experts in the feild. Its emphasis on conceptual developments, illustrated by simple dynamical models provides interesting reading not just for specialists, but also for a more general physical audience seeking a better understanding of the current status of the conceptual foundations of nonequilibrium statistical mechanics." Jrnl of Statistical Physics Vol.104,
Book Description
This book will introduce readers to the applications of ideas in chaotic dynamics to nonequilibrium statistical mechanics, and to the use of techniques in statistical mechanics for calculating quantities that are important for an understanding of the chaotic behavior of fluid systems. Although a background in statistical mechanics on the part of the readers is assumed, the basic ideas needed here are reviewed in the early chapters. The basic concepts of dynamical systems theory are introduced through simple examples, and advanced topics such as SRB and Gibbs measures are explained.
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Inside This Book
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First Sentence:
Statistical mechanics is a very fruitful and successful combination of (i) the basic laws of microscopic dynamics for a system of particles with (ii) the laws of large numbers. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
dynamical partition function, thermostatted systems, conjugate pairing rule, fractal repeller, cellular automata lattice gases, periodic orbit expansions, topological pressure, chaotic hypothesis, cat map, microscopic chaos, tagged particle, billiard systems, collision cylinders, fixed scatterers, fluctuation theorem, nonequilibrium statistical mechanics, toral automorphisms, irreversible behavior, fluctuation formula, dynamical foundations, unstable directions, ergodic behavior, thermodynamic formalism, chaotic properties, expanding directions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Boltzmann's H-theorem, Cambridge University Press, Definition of Lyapunov New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Statistical mechanics is a very fruitful and successful combination of (i) the basic laws of microscopic dynamics for a system of particles with (ii) the laws of large numbers. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
dynamical partition function, thermostatted systems, conjugate pairing rule, fractal repeller, cellular automata lattice gases, periodic orbit expansions, topological pressure, chaotic hypothesis, cat map, microscopic chaos, tagged particle, billiard systems, collision cylinders, fixed scatterers, fluctuation theorem, nonequilibrium statistical mechanics, toral automorphisms, irreversible behavior, fluctuation formula, dynamical foundations, unstable directions, ergodic behavior, thermodynamic formalism, chaotic properties, expanding directions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Boltzmann's H-theorem, Cambridge University Press, Definition of Lyapunov New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 57
books:
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9
books
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- Products of Random Matrices in Statistical Physics (Springer Series in Solid-State Sciences) by Andrea Crisanti on page 262, and Back Matter
- Physical Chemistry: 18 by Annual Review in Back Matter (1), and Back Matter (2)
- Random Matrices, Volume 142, Third Edition (Pure and Applied Mathematics) by Madan Lal Mehta on page 264, and Back Matter
- Statistical Mechanics (North-Holland Personal Library) by R. Kubo in Back Matter (1), and Back Matter (2)
- Random Perturbations of Dynamical Systems (Progress in Probability) by Yuri Kifer on page 263, and Back Matter
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- Dynamics: Models and Kinetic Methods for Non-Equilibrium Many-Body Systems by John Karkheck on page 454
- Chaos and Chance: An Introduction to Stochastic Aspects of Dynamics (de Gruyter Textbook) by Arno Berger in Back Matter
- Dynamics Models and Kinetic Methods for Non- equilibrium Many body Systems by John Karkheck on page 454
- Chaos and Chance: An Introduction to Stochastic Aspects of Dynamics by Arno Berger in Back Matter
- Introduction to Quantum Fields on a Lattice (Cambridge Lecture Notes in Physics) by Jan Smit in Front Matter
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