Nonequilibrium statistical mechanics :basic concepts, models and applications /

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"Version: 20250401"--Title page verso.Includes bibliographical references and index.part I. Basic concepts. 1. From Brownian motion to the Langevin equation -- 1.1. From the surprising behaviour of pollen grains to the existence of atoms -- 1.2. Toward a mathematical theory -- 1.3. Again about the Langevin equation -- 1.4. Further remarks2. The Boltzmann equation -- 2.1. Boltzmann equation in a nutshell -- 2.2. Boltzmann equation for hard spheres -- 2.3. The Loschmidt and Zermelo objections -- 2.4. Other kinetic models -- 2.5. Some remarks about irreversibility3. Statistical and dynamical features of fluctuations -- 3.1. Fluctuations are small but relevant -- 3.2. Onsager relations -- 3.3. Dynamics of fluctuations -- 3.4. Langevin equation and physics4. Linear response theory and fluctuation-dissipation theorem -- 4.1. From Einstein and Onsager to Kubo -- 4.2. A generalized fluctuation-dissipation theorem even for non-Hamiltonian systems -- 4.3. A series of remarks5. Entropy production, fluctuation relations and beyond -- 5.1. Irreversible thermodynamics -- 5.2. Stochastic thermodynamics -- 5.3. Fluctuation relations -- 5.4. Thermodynamic uncertainty relations -- 5.5. Fluctuation-dissipation theorem : alternative approachespart II. Models and applications. 6. Model building in systems with multiple scales -- 6.1. Introduction -- 6.2. Many levels of description : molecular dynamics, Brownian motion and beyond -- 6.3. Coarse-graining : from the micro-world to the meso-level -- 6.4. Symmetries and coarse-graining -- 6.5. Inferring Langevin models from data7. Applications : from climate to causation -- 7.1. Langevin equation for the climate dynamics -- 7.2. Data analysis via information theory -- 7.3. Causation8. Granular and active matter -- 8.1. Introduction -- 8.2. Granular kinetic theory -- 8.3. The dynamics of a granular tracer -- 8.4. Hydrodynamics and correlations -- 8.5. Active matter9. Stranger things -- 9.1. Motion from friction -- 9.2. Getting more from pushing less -- 9.3. Turn right to go left -- 10. Pedagogical appendices.Full-text restricted to subscribers or individual document purchasers.This book covers nonequilibrium statistical physics. Part one, aimed at undergraduates, introduces Langevin equations, general stochastic processes, kinetic theory, fluctuation theory, linear response theory, and stochastic thermodynamics. Part two discusses advanced topics and how to build nonequilibrium stochastic models. Applications, including climate systems, information theory, granular and active matter, and non-intuitive phenomena like negative mobility, are explored in the final three chapters.Graduate students and researchers in physics and engineering.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Dr. Andrea Puglisi, a Marie Curie fellow at Orsay, Paris (2003-2004) and a postdoc at Sapienza University (2005-2008), has served as director of research at the Institute of Complex Systems of the National Research Council in Rome (CNR-ISC) sine 2021. His expertise is in granular materials (theory and experiments), nonequilibrium statistical mechanics, and computational cognitive science and has co-authored over 150 scientific papers and two books. Professor Alessandro Sarracino, postdoc in Rome at CNR-ISC (2010-2013) and in Paris at LPTMC Sorbonne Universit?e (2014-2015), was a researcher at CNR-ISC (2016-2018) and at University of Campania 'L. Vanvitelli' (2018-2022). Since 2022, he has been an Associate Professor at the University of Campania. Having co-authored over 70 scientific papers, his expertise includes nonequilibrium statistical mechanics, with a focus on granular and disordered systems, active matter, anomalous transport, and neural networks. Professor Angelo Vulpiani graduated from Rome University in 1977, and has been a CNR fellow, Assistant Professor, and Associate Professor at various universities. He is currently a Professor of Theoretical Physics at Sapienza University of Rome. His research interests include chaos and complexity in dynamical systems, nonequilibrium statistical mechanics, turbulence, transport, and diffusion. He has authored approximately 300 scientific papers and eleven books. In 2021, he received the EPS Statistical and Nonlinear Physics Prize, the 2023 Lewis Fry Richardson Medal, and has been a Fellow of the Institute of Physics since 2004.Title from PDF title page (viewed on May 1, 2025).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750362290

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531.01/5195

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Subject(s)

SCIENCE / Physics / Condensed Matter.
Nonequilibrium statistical mechanics.
Statistical physics.

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Statement of Responsibility

Alessandro Sarracino, Andrea Puglisi, Angelo Vulpiani.

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