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Nonequilibrium Thermodynamics and Fluctuation Kinetics

Part of the Fundamental Theories of Physics Book Series (volume 208)

Editors: Brenig, Léon; Brilliantov, Nikolai; Tlidi, Mustapha

DOI: 10.1007/978-3-031-04458-8

ISBN: 978-3-031-04457-1

Publisher: Springer International Publishing - Springer Journals

Nov 13, 2022

1 - 10 of 17 Chapters

Available

In Memoriam Professor Viacheslav (Slava) Belyi (1945–2020)

Veretennicoff, I.; Brenig, L.; Bindler, L.; Boon, J. P.; De Mol, C.; Gerold, R.; Wallenborn, J.; Mareschal, M.; Zagorodny, A. G.; Brilliantov, N.

Pages: 3 –17

[This chapter gathers contributions of numerous Slava’s friends and colleagues from various institutions.]
Available

Biographic Note

Belyi, Andrei

Pages: 19 –26

[In this chapter, I will briefly describe Viacheslav (Slava) Belyi’s biography. Being in a position of his son, I witnessed a large part of his scientific pathway, his profound curiosity about scientists’ contributions to the real world. My father was convinced that scientific knowledge could...
Available

The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium

Baldovin, Marco; Caprini, Lorenzo; Puglisi, Andrea; Sarracino, Alessandro; Vulpiani, Angelo

Pages: 29 –57

[In this paper, we offer to the reader an essential review of the theory of Fluctuation-Dissipation Relations (FDR), from the first formulations due to Einstein and Onsager, to the recent developments in the framework of stochastic thermodynamics of non-equilibrium system. We focus on two general...
Available

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

Petrosky, Tomio; Kotaka, Daisuke; Tanaka, Satoshi

Pages: 59 –70

[A decaying process of an unstable matter-field interacting system is analyzed by the complex spectral analysis of the Hamiltonian, which is a microscopic analysis of irreversibility based on the basic laws of physics. By using the iterative method to solve a nonlinear eigenvalue problem of an...
Available

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

Sonnino, Giorgio

Pages: 71 –115

[The first attempts to develop non-equilibrium thermodynamics theory occurred after the first observations of some coupled phenomena of thermal diffusion and thermoelectric phenomena. However, the big obstacle to overcome is that the number of unknowns is greater than the number of equations...
Available

Simulating Deterministic Dynamics by Drawing Coloured Balls at Random in Urns

Brenig, Léon

Pages: 117 –134

[In this work, we illustrate by detailed examples an equivalence relation established in a previous publication between deterministic nonlinear differential dynamical systems and random Markovian processes.]
Available

Langton’s Ant as an Elementary Turing Machine

Boon, Jean Pierre

Pages: 135 –140

[The automaton known as ‘Langton’s ant’ describes the step by step motion of an elementary object (the ant) on a square lattice. Yet despite the simplicity of its rule, the automaton exhibits amazing dynamical behaviour leading to a propagation phase where the particle (the ant) dynamics produce...
Available

Phase Transitions in Active Matter Systems

Das, Subir K.

Pages: 143 –171

[This article reviews various aspects of phase transitions in active matter systems. Scaling phenomena in steady states as well as far-from-steady-states have been considered. The focus has been on systems where particles align their velocities along their neighbors. Such dynamic interactions are...
Available

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

Gómez González, Rubén; Garzó, Vicente

Pages: 173 –189

[Transport properties of granular mixtures surrounded by an interstitial gas are determined by solving the Boltzmann kinetic equation by means of the Chapman–Enskog method. As usual, the influence of the viscous gas on solid particles is accounted for by an effective external force composed of...
Available

Boltzmann Equation in Aggregation Kinetics

Brilliantov, Nikolai V.; Osinsky, Alexander I.; Pöschel, Thorsten

Pages: 191 –216

[We consider the application of the Boltzmann equation to aggregation kinetics, where the transport mechanism is the ballistic motion of particles. This refers to molecular gases, granular gases, and, hypothetically, dark matter. Two aggregation models are analyzed—random and impact...

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