Details

Subject(s)

• Fluctuations (Physics) [Browse]
• Nonequilibrium thermodynamics [Browse]

Editor

• Tlidi, Mustapha [Browse]
• Brenig, Léon [Browse]
• Brilliantov, Nikolai [Browse]

Series

Fundamental theories of physics ; Volume 208. [More in this series]

Bibliographic references

Includes bibliographical references.

Source of description

Description based on print version record.

Contents

• 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
• Mandelbrot's Fractal Structure in Decaying Process of a Matter-field Interacting System
• 2 Complex Spectral Analysis of Friedrichs' Hamiltonian
• 3 Nonlinear Map for Iterative Method
• 4 Mandelbrot Set
• 5 Concluding Remarks
• 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 >
• 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
• Simulating Deterministic Dynamics by Drawing Coloured Balls at Random in Urns
• 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
• Langton's Ant as an Elementary Turing Machine
• 2 The Automaton Process
• 3 Concluding Comments
• Kinetic Theory of Far-from-Equilibrium Processes
• Phase Transitions in Active Matter Systems
• 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
• Kinetic Theory of Binary Granular Suspensions at Low Density. Thermal Diffusion Segregation
• 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
• Boltzmann Equation in Aggregation Kinetics
• 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
• Large-Scale Fluctuations in Collisional Dusty Plasmas with Regard to Grain Charging Processes
• 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
• Fluctuations and Kinetics in Non-linear Non-equilibrium Systems
• Space-Time Dynamics of High-Q Optical Resonators
• 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
• Optimization in Engineering Processes: An Application of a Generalized Fluctuation-Dissipation Theorem
• 2 Generalized Entropy Production in Non-Fourier Heat Transfer
• 3 Conclusions
• Co-evolutionary Complex Networks
• 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
• 2 Experimental Setup
• 3 Theoretical Description
• 4 Vortices Nucleation Law
• 5 Noise Induced Emergence of One-Dimensional Defect
• 6 Conclusion and Remarks
• 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
• Multistability of Vector Solitons in High-Q Resonators
• 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

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ISBN

3-031-04458-4

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