Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics

This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics.

Author: Robert Zwanzig

Publisher: Oxford University Press

ISBN: 0198032153

Category: Science

Page: 240

View: 748

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.
Categories: Science

Elements of Nonequilibrium Statistical Mechanics

Elements of Nonequilibrium Statistical Mechanics

The book is of particular interest to advanced undergraduate and graduate students in engineering departments. This book deals with the basic principles and techniques of nonequilibrium statistical mechanics.

Author: V. Balakrishnan

Publisher: Springer Nature

ISBN: 9783030622336

Category: Science

Page: 314

View: 128

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.
Categories: Science

Non Equilibrium Statistical Mechanics

Non Equilibrium Statistical Mechanics

Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, ...

Author: Ilya Prigogine

Publisher: Courier Dover Publications

ISBN: 9780486815558

Category: Science

Page: 336

View: 353

Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.
Categories: Science

Frontiers of Nonequilibrium Statistical Physics

Frontiers of Nonequilibrium Statistical Physics

This book comprises proceedings based on those lectures and covering a broad spectrum of topics in NSP ranging fran basic problems in quantum measurement theory to analogies between lasers and Darwinian evolution.

Author: Gerald T. Moore

Publisher: Springer

ISBN: 1461292840

Category: Science

Page: 510

View: 327

The four-week period fran May 20 to June 16, 1984 was an intensive period of advanced study on the foundations and frontiers of nonequili brium statistical physics (NSP). During the first two weeks of this period, an advanced-study course on the "Foundations of NSP" was con ducted in Albuquerque under the sponsorship of the University of New Mexico Center for High-Technology Materials. This was followed by a two-week NATO Advanced Study Insti tute on the "Frontiers of NSP" in Santa Fe under the same directorship. Many Students attended both meetings. This book comprises proceedings based on those lectures and covering a broad spectrum of topics in NSP ranging fran basic problems in quantum measurement theory to analogies between lasers and Darwinian evolution. The various types of quantum distribution functions and their uses are treated by several authors. other tools of NSP, such as Langevin equations, Fokker-Planck equations, and master equations, are developed and applied to areas such as laser physics, plasma physics, Brownian motion, and hydrodynamic instabilities. The properties and experimental detection of squeezed states and antibunching are described, as well as experimental tests of the violation of Bell's inequality. Information theory, mean-field theory, reservoir theory, entropy maximization, and even a novel nonlinear generalization of quantum mechanics are used to discuss nonequilibrium phenanena and the approach toward thermodynamic equilibrium.
Categories: Science

Entropy and Non Equilibrium Statistical Mechanics

Entropy and Non Equilibrium Statistical Mechanics

Nonequilibrium statistical mechanics has a long history featuring diverse aspects. It has been a major research field in physics and will remain so in the future.

Author: Antonio M. Scarfone

Publisher: MDPI

ISBN: 9783039362325

Category: Technology & Engineering

Page: 116

View: 395

Nonequilibrium statistical mechanics has a long history featuring diverse aspects. It has been a major research field in physics and will remain so in the future. Even regarding the concept of entropy, there exists a longstanding problem concerning its definition for a system in a state far from equilibrium. In this Special Issue, we offered the possibility to discuss and present up-to-date problems that were not necessarily restricted to statistical mechanics. Theoretical and experimental papers are both presented, in addition to unifying research works. As the entropy itself is the central element of nonequilibrium processes, papers discuss various formulations of the second law and its consequences. In this Special Issue, recent progress in kinetic approaches to hydrodynamics, rational extended thermodynamics, entropy in a strongly nonequilibrium stationary state, and related topics are reported as both review articles as well as original research works.
Categories: Technology & Engineering

Nonequilibrium Statistical Mechanics in One Dimension

Nonequilibrium Statistical Mechanics in One Dimension

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

Author: Vladimir Privman

Publisher: Cambridge University Press

ISBN: 052155974X

Category: Science

Page: 470

View: 378

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

Statistical Physics II

Statistical Physics II

Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem.

Author: Ryogo Kubo

Publisher: Springer Science & Business Media

ISBN: 9783642582448

Category: Science

Page: 279

View: 432

Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem. Emphasis is placed on the relaxation from nonequilibrium to equilibrium states, the response of a system to an external disturbance, and general problems involved in deriving a macroscopic physical process from more basic underlying processes. Fundamental concepts and methods are stressed, rather than the numerous individual applications.
Categories: Science

An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics

An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics

This book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems.

Author: Horacio S Wio

Publisher: World Scientific Publishing Company

ISBN: 9789814434638

Category: Science

Page: 336

View: 631

This book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems. It first introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a purely probabilistic angle. The aim is to show the important role played by fluctuations in far-from-equilibrium situations, where noise can promote order and organization, switching among non-equilibrium states, etc. The second part adopts a more historical perspective, retracing the first steps taken from the purely thermodynamic as well as from the kinetic points of view to depart (albeit slightly) from equilibrium. The third part revisits the path outlined in the first one, but now undertakes the mesoscopic description of extended systems, where new phenomena (patterns, long-range correlations, scaling far from equilibrium, etc.) are observed. This book is a revised and extended version of an earlier edition published in 1994. It includes topics of current research interest in far-from-equilibrium situations like noise-induced phenomena and free energy-like functionals, surface growth and roughening, etc. It can be used as an advanced textbook by graduate students in physics. It also covers topics of current interest in other disciplines and interdisciplinary approaches in engineering, biophysics, and economics, among others. The level of detail in the book is enough to capture the interest of the reader and facilitate the path to more learning by exploring the modern research literature provided. At the same time, the book is also complete enough to be self-contained for those readers who just need an overview of the subject.
Categories: Science

Nonequilibrium Statistical Mechanics

Nonequilibrium Statistical Mechanics

in the Gibbsian statistical mechanics and here we have simply formalized it with Proposition 6. In retrospect the correspondences (7.63) and (7.65) not only are consistent with the matching conditions for the conserved variables, ...

Author: Byung Chan Eu

Publisher: Springer Science & Business Media

ISBN: 9789401724388

Category: Science

Page: 394

View: 188

In this monograph, nonequilibrium statistical mechanics is developed by means of ensemble methods on the basis of the Boltzmann equation, the generic Boltzmann equations for classical and quantum dilute gases, and a generalised Boltzmann equation for dense simple fluids. The theories are developed in forms parallel with the equilibrium Gibbs ensemble theory in a way fully consistent with the laws of thermodynamics. The generalised hydrodynamics equations are the integral part of the theory and describe the evolution of macroscopic processes in accordance with the laws of thermodynamics of systems far removed from equilibrium. Audience: This book will be of interest to researchers in the fields of statistical mechanics, condensed matter physics, gas dynamics, fluid dynamics, rheology, irreversible thermodynamics and nonequilibrium phenomena.
Categories: Science