Statistical Mechanics of Nonequilibrium Processes, Volume 1 (See 3527400834)


Book Description

A unified approach to the modern statistical theory of nonequilibrium processes. This book explores applications of this unified approach to classical and quantum kinetic theory of nonideal gases, to plasmas, and to solid state physics.




15th Chaotic Modeling and Simulation International Conference


Book Description

This proceedings of 15th CHAOS2022 International Conference highlights recent developments in nonlinear, dynamical, and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and Engineering Sciences. The principal aim of CHAOS2022 International Conference is to expand the development of the theories of the applied nonlinear field, the methods, empirical data and computer techniques as well as the best theoretical achievements of chaotic theory. CHAOS2022 Conference provides a forum for bringing together the various groups working in the area of Nonlinear and Dynamical Systems, Chaotic theory and Application to exchange views and report research findings.




Statistical Mechanics of Nonequilibrium Processes, Basic Concepts, Kinetic Theory


Book Description

This is the first part of a two-volume textbook on the modern statistical theory of nonequilibrium processes. In distinction to currently available textbooks and monographs on this subject, the presentation of a wide range of nonequilibrium phenomena in many-particle systems is based on the unified approach which is a natural extension of the method of Gibbs ensembles to the nonequilibrium case. The general method of nonequilibrium ensembles is applied to describe kinetic processes in classical and quantum systems. In addition to standard examples, topical problems of the modern kinetic theory are considered, including many-particle effects in classical kinetics, non-Markovian kinetic equations for plasmas, and quantum kinetic processes in the presence of strong external fields. Exercises and problems for readers are also included. The book is self-contained and accessible to students having read the standard course in statistical physics. It is also of interest for specialists working in solid state physics, chemical physics, and physics of plasma and fluids.




Statistical Mechanics of Nonequilibrium Processes, Statistical Mechanics of Nonequilibrium Processes. Volume 2


Book Description

This is the second part of a two-volume textbook on the modern statistical theory of nonequilibrium processes. The general method of nonequilibrium statistical ensembles developed in the first volume is applied to various problems in linear response theory, relaxation phenomena, hydrodynamics, and the dynamical theory of fluctuations. Some active areas of research are considered, including relaxation processes in highly nonequilibrium systems, kinetic processes in lasers, nonequilibrium many-particle correlations in the Green’s function formalism, superfluid statistical hydrodynamics, large-scale fluctuations in nonequilibrium systems, and statistical mechanics of turbulence. Exercises and problems for readers are also included. The book is self-contained and accessible to students having heard the standard course in statistical physics. It is also of interest for specialists working in solid state physics, chemical physics, and physics of plasma and fluids.




Elements of Nonequilibrium Statistical Mechanics


Book Description

This book deals with the basic principles and techniques of nonequilibrium statistical mechanics. The importance of this subject is growing rapidly in view of the advances being made, both experimentally and theoretically, in statistical physics, chemical physics, biological physics, complex systems and several other areas. The presentation of topics is quite self-contained, and the choice of topics enables the student to form a coherent picture of the subject. The approach is unique in that classical mechanical formulation takes center stage. The book is of particular interest to advanced undergraduate and graduate students in engineering departments.




Nonequilibrium Statistical Mechanics


Book Description

This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics. It is the perfect introduction for anyone in chemistry or physics who needs an update or background in this time-dependent field. Topics covered include fluctuation-dissipation theorem; linear response theory; time correlation functions, and projection operators. Theoretical models are illustrated by real-world examples and numerous applications such as chemical reaction rates and spectral line shapes are covered. The mathematical treatments are detailed and easily understandable and the appendices include useful mathematical methods like the Laplace transforms, Gaussian random variables and phenomenological transport equations.




Nonequilibrium Statistical Mechanics in One Dimension


Book Description

Self-contained and up-to-date guide to one-dimensional reactions, dynamics, diffusion and adsorption.




Statistical Mechanics of Nonequilibrium Liquids


Book Description

In recent years the interaction between dynamical systems theory and non-equilibrium statistical mechanics has been enormous. The discovery of fluctuation theorems as a fundamental structure common to almost all non-equilibrium systems, and the connections with the free energy calculation methods of Jarzynski and Crooks, have excited both theorists and experimentalists. This graduate-level book charts the development and theoretical analysis of molecular dynamics as applied to equilibrium and non-equilibrium systems. Designed for both researchers in the field and graduate students of physics, it connects molecular dynamics simulation with the mathematical theory to understand non-equilibrium steady states. It also provides a link between the atomic, nano, and macro worlds. The book ends with an introduction to the use of non-equilibrium statistical mechanics to justify a thermodynamic treatment of non-equilibrium steady states, and gives a direction to further avenues of exploration.