Record Nr.

UNISA996499863003316

Titolo

Nonequilibrium thermodynamics and fluctuation kinetics : modern trends and open questions / / Léon Brenig, N. Brilliantov, Mustapha Tlidi, editors

Pubbl/distr/stampa


Cham, Switzerland : , : Springer, , [2022]
©2022

ISBN

3-031-04458-4

Descrizione fisica

1 online resource (351 pages)

Collana

Fundamental theories of physics ; ; Volume 208

Disciplina

003

Soggetti

Fluctuations (Physics)

Nonequilibrium thermodynamics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Intro -- Preface -- Contents -- Memorials -- In Memoriam Professor Viacheslav (Slava) Belyi (1945-2020) -- 1 I. Veretennicoff: Towards a Productive Scientific Collaboration Between Izmiran and the Vrije Universiteit Brussel (1980-1991) -- 1.1 Yuri Lvovich Klimontovich and Radu Balescu -- 1.2 My Own Roots Are to Be Found in St. Petersburg, Russia -- 1.3 My Arrival in Moscow -- 1.4 Collaboration -- 1.5 Traveling with Slava -- 2 L. Brenig -- 3 L. Bindler, Formerly at Belgonucleaire, Brussels, Belgium -- 4 J. P. Boon -- 5 C. De Mol -- 6 R. Gerold -- 7 J. Wallenborn -- 8 M. Mareschal -- 9 A. G. Zagorodny -- 10 N. Brilliantov -- Biographic Note -- 1 Early Life -- 2 Scientific Exchanges with Belgium -- 3 Doctor of Science and 'a Prize Laureate -- 4 New Sets of Collaboration -- 5 The Solvay Institutes and Prigogine's Influence -- 6 Major Results and Recognition -- References -- General Problems of Non-equilibrium Thermodynamics and Fluctuation Kinetics. Fluctuation Dissipation Theorem -- The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium -- 1 Introduction -- 2 Two Approaches to Non-equilibrium FDR -- 2.1 An Approach Based upon the Knowledge of the Stationary Distribution -- 2.2 An Approach Based upon the Knowledge of the Dynamical Model -- 3 Applications -- 3.1 The Interesting Case of Causation Through Response -- 3.2 Spin and Disordered Systems -- 3.3 Granular

Materials -- 3.4 Application to Biological Systems and Active Particles -- 4 Conclusions -- References -- Mandelbrot's Fractal Structure in Decaying Process of a Matter-field Interacting System -- 1 Introduction -- 2 Complex Spectral Analysis of Friedrichs' Hamiltonian -- 3 Nonlinear Map for Iterative Method -- 4 Mandelbrot Set -- 5 Concluding Remarks -- References -- Thermodynamic Flux-Force Closure Relations for Systems out of the Onsager Region -- 1 Introduction.

2 The Thermodynamical Field Theory (TFT) -- 2.1 The Space of the Thermodynamic Forces -- 2.2 The De Donder-Prigogine Thermodynamic Invariance -- 2.3 Remarks on De Donder-Prigogine's Thermodynamic Invariance Formulation -- 2.4 The Thermodynamic Covariant Transformations (TCT) and the Thermodynamic Covariance Principle (TCP) -- 2.5 The TCT-Symmetry Group -- 2.6 The Thermodynamic Action Principle -- 2.7 The Privileged Thermodynamic Coordinate System -- 3 Transport Equations -- 3.1 Onsager's Region -- 3.2 Near the Onsager Region -- 4 Two-Dimensional Transport Equations -- 5 Linearised Transport Equations -- 5.1 Linearised Transport Equations for n &gt -- 2 -- 5.2 Examples of Simplification of the Linearised Transport Equations -- 5.3 Linearised Transport Equation for n=2 -- 6 TFT Gauge Invariance -- 6.1 Basic Theorems for the PDEs B(0)µν(h)=W(S)µν -- 6.2 A Note on the Physical Meaning of the Gauge Invariance -- 7 Solution of the Linearised Equations -- 8 Testing the Validity of the PDE (64)-Computation of Heat Loss in L-mode, Collisional FTU-Plasma -- 9 Conclusions -- References -- Simulating Deterministic Dynamics by Drawing Coloured Balls at Random in Urns -- 1 Introduction -- 2 The Quasi-polynomial Dynamical Systems and Their Canonical Forms -- 3 Urn Processes -- 4 Equivalence Between Balanced Urn Processes and the QP Differential systems -- 5 Examples -- 5.1 Lotka-Volterra Systems -- 5.2 The Lorenz System -- 5.3 Asymmetric Top with Dissipation -- 5.4 Cosmological Dynamics -- 6 Conclusive Remarks and Perspectives -- References -- Langton's Ant as an Elementary Turing Machine -- 1 Introduction -- 2 The Automaton Process -- 3 Concluding Comments -- References -- Kinetic Theory of Far-from-Equilibrium Processes -- Phase Transitions in Active Matter Systems -- 1 Introduction -- 2 Phase Transition: An Elementary Discussion -- 2.1 Critical Phenomena.

2.2 Coarsening Phenomena -- 3 Flocking Transition in Active Matter Systems: A Basic Model -- 4 Phase Behavior and Critical Aspects in the Vicsek Model -- 5 Transitions in Variants of the Vicsek Model -- 6 Kinetics of Flocking Transition: Structure Formation -- 7 Growth During Flocking Evolution -- 7.1 Theoretical Background -- 7.2 Computational Results on Growth of Fractal Clusters -- 8 Aging in Evolving Active Matter System -- 9 Conclusion -- References -- Kinetic Theory of Binary Granular Suspensions at Low Density. Thermal Diffusion Segregation -- 1 Introduction -- 2 Granular Suspension Model -- 3 Homogeneous Steady States -- 4 Chapman-Enskog Method. First-Order Solution -- 4.1 Tracer Limit. Diffusion Transport Coefficients -- 4.2 Leading Sonine Approximation -- 5 Thermal Diffusion Segregation of an Intruder in a Granular Suspension -- 5.1 Mechanically Equivalent Particles -- 5.2 Elastic Collisions -- 5.3 Inelastic Collisions -- 6 Concluding Remarks -- References -- Boltzmann Equation in Aggregation Kinetics -- 1 Introduction -- 2 Boltzmann-Smoluchowski Equations for Ballistic Agglomeration -- 2.1 Boltzmann Equation -- 2.2 Boltzmann-Smoluchowski Equations -- 3 Smoluchowski Equations for Space-Uniform Systems -- 3.1 Velocity Distribution Function and Its Moments -- 3.2 Smoluchowski Equations. Randomly Aggregative Collisions -- 3.3 Smoluchowski Equations. Impact Energy-Dependent

Aggregation -- 3.4 Application to the Hypothetical Evolution of Dark Matter -- 4 Exact and Scaling Solutions -- 4.1 Exact Solutions -- 4.2 Scaling Analysis -- 5 Numerical Methods in Aggregating Kinetics -- 5.1 Direct Simulation Monte Carlo of the Boltzmann Equation -- 5.2 Solution of Temperature-Dependent Smoluchowski Equations by Monte Carlo Method -- 5.3 Solution of Temperature-Dependent Smoluchowski ODE with Low-Rank Methods.

5.4 Phase Diagram for the Temperature-Dependent Smoluchowski Equations -- 6 Discussion -- References -- Large-Scale Fluctuations in Collisional Dusty Plasmas with Regard to Grain Charging Processes -- 1 Introduction -- 2 Fluctuations of the Distribution Function -- 3 Equations of the Grain Charge Dynamics -- 4 Stationary Grain Charge, Charging and Collision Frequencies -- 5 Dielectric Permittivity in the BGK Model -- 6 Ion-Acoustic Waves -- 7 Fluctuation Spectra -- 8 Conclusions -- References -- Fluctuations and Kinetics in Non-linear Non-equilibrium Systems -- Space-Time Dynamics of High-Q Optical Resonators -- 1 Introduction -- 2 Space-Time Dynamics of High-Q Resonators -- 2.1 The Mean-Field Model -- 2.2 Modulational Instability and Pattern Formation -- 3 Localized Solutions of the Lugiato-Lefever Equation: Homoclinic Snaking Bifurcation -- 4 Inhomogeneous High-Q Resonators -- 4.1 The Lugiato-Lefever Model with Inhomogeneous Injection -- 4.2 Homoclinic Snaking in the Presence of Inhomogeneities -- 4.3 The Potential Well Model for the Inhomogeneous LLE -- 5 Conclusions -- References -- Optimization in Engineering Processes: An Application of a Generalized Fluctuation-Dissipation Theorem -- 1 Introduction -- 2 Generalized Entropy Production in Non-Fourier Heat Transfer -- 3 Conclusions -- References -- Co-evolutionary Complex Networks -- 1 Introduction -- 2 Spread Dynamics -- 3 Communication Policies in Organizational Knowledge Networks -- 4 Experts in Organizational Knowledge Networks -- 5 Attitude Change and Hidden Influence in Organizational Networks -- 6 Unreliable Organizational Knowledge Networks -- 7 Conflict and Polarization in Co-evolutionary Organizational Networks -- 8 Intelligence Agents and Centralization in Co-evolutionary Knowledge Networks -- 9 Discussion -- References.

Thermal Fluctuations Induced Emergence of Umbilical Defects in Nematic Liquid Crystal Cells -- 1 Introduction -- 2 Experimental Setup -- 3 Theoretical Description -- 4 Vortices Nucleation Law -- 5 Noise Induced Emergence of One-Dimensional Defect -- 6 Conclusion and Remarks -- References -- Thermodynamic Instability of the Atmospheric Boundary Layer as a Precursor of an Earthquake -- 1 The Thermal Anomalies Before Earthquakes -- 2 Air Ionization as a Main Source of Pre-earthquake Atmospheric Anomalies -- 3 Autocatalytic Reaction Leading to Thermal Instability -- 4 Atmospheric Chemical Potential as a Measure of Thermal Instability in Atmosphere -- 5 Conclusion -- 6 Four Dimensions of My Interaction with Slava Belyi -- References -- Multistability of Vector Solitons in High-Q Resonators -- 1 Introduction -- 2 The Vectorial Lugiato-Lefever Model -- 3 Modulational Instability in the Case of Anomalous Dispersion -- 4 Front-Locking in the Case of Normal Dispersion -- 5 Tristability in the Case of Normal Dispersion -- 6 Conclusions and Perspectives -- References.