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Nonequilibrium Thermodynamics and Fluctuation Kinetics

Modern Trends and Open Questions

  • Book
  • © 2022

Overview

Editors:
  1. Léon Brenig

    1. Physics Department, Université Libre de Bruxelles (U.L.B.), Bruxelles, Belgium

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  2. Nikolai Brilliantov

    1. Department of Mathematics, University of Leicester, Leicester, UK

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    You can also search for this editor in PubMed   Google Scholar

  3. Mustapha Tlidi

    1. Physics Department, Université Libre de Bruxelles (U.L.B), Bruxelles, Belgium

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    You can also search for this editor in PubMed   Google Scholar

  • Showcases current problems in non-equilibrium thermodynamics and fluctuation kinetics
  • A selection of concise reviews on forefront research questions
  • Reveals how a physical theory interfaces with engineering practice

Part of the book series: Fundamental Theories of Physics (FTPH, volume 208)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-x
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  2. Memorials

    1. Front Matter

      Pages 1-1
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    2. In Memoriam Professor Viacheslav (Slava) Belyi (1945–2020)

      • I. Veretennicoff, L. Brenig, L. Bindler, J. P. Boon, C. De Mol, R. Gerold et al.
      Pages 3-17

    3. Biographic Note

      • Andrei Belyi
      Pages 19-26

  3. General Problems of Non-equilibrium Thermodynamics and Fluctuation Kinetics. Fluctuation Dissipation Theorem

    1. Front Matter

      Pages 27-27
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    2. The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium

      • Marco Baldovin, Lorenzo Caprini, Andrea Puglisi, Alessandro Sarracino, Angelo Vulpiani
      Pages 29-57

    3. Mandelbrot’s Fractal Structure in Decaying Process of a Matter-field Interacting System

      • Tomio Petrosky, Daisuke Kotaka, Satoshi Tanaka
      Pages 59-70

    4. Thermodynamic Flux-Force Closure Relations for Systems out of the Onsager Region

      • Giorgio Sonnino
      Pages 71-115

    5. Simulating Deterministic Dynamics by Drawing Coloured Balls at Random in Urns

      • Léon Brenig
      Pages 117-134

    6. Langton’s Ant as an Elementary Turing Machine

      • Jean Pierre Boon
      Pages 135-140

  4. Kinetic Theory of Far-from-Equilibrium Processes

    1. Front Matter

      Pages 141-141
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    2. Phase Transitions in Active Matter Systems

      • Subir K. Das
      Pages 143-171

    3. Kinetic Theory of Binary Granular Suspensions at Low Density. Thermal Diffusion Segregation

      • Rubén Gómez González, Vicente Garzó
      Pages 173-189

    4. Boltzmann Equation in Aggregation Kinetics

      • Nikolai V. Brilliantov, Alexander I. Osinsky, Thorsten Pöschel
      Pages 191-216

    5. Large-Scale Fluctuations in Collisional Dusty Plasmas with Regard to Grain Charging Processes

      • A. G. Zagorodny, A. I. Momot
      Pages 217-243

  5. Fluctuations and Kinetics in Non-linear Non-equilibrium Systems

    1. Front Matter

      Pages 245-245
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    2. Space-Time Dynamics of High-Q Optical Resonators

      • F. Tabbert, S. V. Gurevich, K. Panajotov, M. Tlidi
      Pages 247-269

    3. Optimization in Engineering Processes: An Application of a Generalized Fluctuation–Dissipation Theorem

      • Annie Steinchen
      Pages 271-275

    4. Co-evolutionary Complex Networks

      • Ioannis Antoniou, Evangelos Ioannidis, Nikos Varsakelis
      Pages 277-302

    5. Thermal Fluctuations Induced Emergence of Umbilical Defects in Nematic Liquid Crystal Cells

      • Esteban Aguilera, Marcel G. Clerc, David Pinto-Ramos, Valeska Zambra
      Pages 303-312
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Keywords

About this book

This book addresses research challenges in the rapidly developing area of nonequilibrium thermodynamics and fluctuation kinetics. This cross-disciplinary field comprises various topics, ranging from fundamental problems of nonequilibrium statistical mechanics and thermodynamics to multiple applications in plasma, fluid mechanics, nonlinear science, systems of dissipative particles, and high-Q resonators. The purpose of this book is to bring together world-leading experts in the above fields to initiate a cross-fertilization among these active research areas. The book is dedicated to and honours the memory of Professor Slava Belyi who passed away unexpectedly on May 20, 2020. He was pioneering the theory of nonequilibrium fluctuations, in particular the application of the Callen-Welton fluctuation-dissipation theorem to nonequilibrium systems and its generalization. This and related problems also feature in the book.

Reviews

“This book, comprising a collection of articles by leading experts in non-equilibrium thermodynamics and fluctuation kinetics … .” (Nasir N. Ganikhodjaev, zbMATH 1511.82004, 2023)

Editors and Affiliations

  • Physics Department, Université Libre de Bruxelles (U.L.B.), Bruxelles, Belgium

    Léon Brenig

  • Department of Mathematics, University of Leicester, Leicester, UK

    Nikolai Brilliantov

  • Physics Department, Université Libre de Bruxelles (U.L.B), Bruxelles, Belgium

    Mustapha Tlidi

About the editors

Léon Brenig was born in Paris (France) and completed his Masters in Physics in 1970, PhD Thesis in Physics in 1974, both from Université Libre de Bruxelles, ULB (Faculty of Sciences), followed by a post-doctoral stay 1977 at University of Texas, Austin. He was Professor at Physics Department, ULB. Presently, he is Visiting Professor at the Physics Department, ULB. His research focuses on nonlinear dynamical systems, random processes and the foundations of quantum mechanics.


Nikolai Brilliantov was born in Moscow (USSR). He received his MSc, PhD and Doctor of Science degrees in Physics from the Moscow (M.V. Lomonosov) State University in 1980, 1984 and 2000, respectively. He is a professor and director of the research centre of the Skolkovo Institute of Science and Technology (Skoltech), Russia, Moscow, and professor, chair in Applied Mathematics at the University of Leicester, UK. His research focuses on kinetic theory, far from equilibrium processes, pattern formation, granular gases and complex liquids.



Mustapha Tlidi was born in Morocco. He received his M.D. and Ph.D. degrees in Physics from the science faculty of the Université Libre de Bruxelles, Belgium, in 1989 and 1995, receptively. He is a research director with the Belgian National Science Foundation (FNRS). His research focuses on systems far from equilibrium, nonlinear physics, laser physics, nonlinear optics and plant ecology.

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