Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems

Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems
Author: John Karkheck
Publisher: Springer Science & Business Media
Total Pages: 512
Release: 2012-12-06
Genre: Science
ISBN: 940114365X

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Recent years have witnessed a resurgence in the kinetic approach to dynamic many-body problems. Modern kinetic theory offers a unifying theoretical framework within which a great variety of seemingly unrelated systems can be explored in a coherent way. Kinetic methods are currently being applied in such areas as the dynamics of colloidal suspensions, granular material flow, electron transport in mesoscopic systems, the calculation of Lyapunov exponents and other properties of classical many-body systems characterised by chaotic behaviour. The present work focuses on Brownian motion, dynamical systems, granular flows, and quantum kinetic theory.

The Statistical Mechanics of Irreversible Phenomena

The Statistical Mechanics of Irreversible Phenomena
Author: Pierre Gaspard
Publisher: Cambridge University Press
Total Pages: 689
Release: 2022-07-28
Genre: Science
ISBN: 1108473725

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A comprehensive overview of recent progress in nonequilibrium statistical mechanics, including applications across a range of disciplines.

Quantum Gases: Finite Temperature And Non-equilibrium Dynamics

Quantum Gases: Finite Temperature And Non-equilibrium Dynamics
Author: Nick P Proukakis
Publisher: World Scientific
Total Pages: 579
Release: 2013-02-21
Genre: Science
ISBN: 1908979704

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The 1995 observation of Bose-Einstein condensation in dilute atomic vapours spawned the field of ultracold, degenerate quantum gases. Unprecedented developments in experimental design and precision control have led to quantum gases becoming the preferred playground for designer quantum many-body systems.This self-contained volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics. Thematically organised chapters on different methodologies, contributed by key researchers using a unified notation, provide the first integrated view of the relative merits of individual approaches, aided by pertinent introductory chapters and the guidance of editorial notes.Both graduate students and established researchers wishing to understand the state of the art will greatly benefit from this comprehensive and up-to-date review of non-equilibrium and finite temperature techniques in the exciting and expanding field of quantum gases and liquids./a

Statistical Mechanics And The Physics Of Many-particle Model Systems

Statistical Mechanics And The Physics Of Many-particle Model Systems
Author: Alexander Leonidovich Kuzemsky
Publisher: World Scientific
Total Pages: 1259
Release: 2017-02-24
Genre: Science
ISBN: 981314565X

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The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.

Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics

Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics
Author: Rainer Klages
Publisher: World Scientific
Total Pages: 458
Release: 2007
Genre: Mathematics
ISBN: 9812771514

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A valuable introduction for newcomers as well as an important reference and source of inspiration for established researchers, this book provides an up-to-date summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory. Understanding macroscopic properties of matter starting from microscopic chaos in the equations of motion of single atoms or molecules is a key problem in nonequilibrium statistical mechanics. Of particular interest both for theory and applications are transport processes such as diffusion, reaction, conduction and viscosity. Recent advances towards a deterministic theory of nonequilibrium statistical physics are summarized: Both Hamiltonian dynamical systems under nonequilibrium boundary conditions and non-Hamiltonian modelings of nonequilibrium steady states by using thermal reservoirs are considered. The surprising new results include transport coefficients that are fractal functions of control parameters, fundamental relations between transport coefficients and chaos quantities, and an understanding of nonequilibrium entropy production in terms of fractal measures and attractors. The theory is particularly useful for the description of many-particle systems with properties in-between conventional thermodynamics and nonlinear science, as they are frequently encountered on nanoscales.

Challenges In Granular Physics

Challenges In Granular Physics
Author: Thomas Halsey
Publisher: World Scientific
Total Pages: 257
Release: 2003-01-09
Genre: Science
ISBN: 9814486965

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This book contains accounts of state-of-the art approaches to the physics of granular matter, from a widely interdisciplinary and international set of experts in the field. The authors include theorists such as S F Edwards, J Krug and J Kurchan; the book is also unique in reporting current experimental approaches with, importantly, a detailed account of new techniques. It will serve as an invaluable handbook for all researchers, both novice and experienced, who wish to get quickly directed to open questions in key aspects of this challenging and topical domain.

Computational Gas-Solids Flows and Reacting Systems: Theory, Methods and Practice

Computational Gas-Solids Flows and Reacting Systems: Theory, Methods and Practice
Author: Pannala, Sreekanth
Publisher: IGI Global
Total Pages: 500
Release: 2010-09-30
Genre: Computers
ISBN: 1615206523

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"This book provides various approaches to computational gas-solids flow and will aid the researchers, graduate students and practicing engineers in this rapidly expanding area"--Provided by publisher.

Field Theory of Non-Equilibrium Systems

Field Theory of Non-Equilibrium Systems
Author: Alex Kamenev
Publisher: Cambridge University Press
Total Pages: 514
Release: 2023-01-05
Genre: Science
ISBN: 1108846440

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The physics of non-equilibrium many-body systems is a rapidly expanding area of theoretical physics. Traditionally employed in laser physics and superconducting kinetics, these techniques have more recently found applications in the dynamics of cold atomic gases, mesoscopic and nano-mechanical systems, and quantum computation. This book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. A highly pedagogical and self-contained approach is adopted within the text, making it ideal as a reference for graduate students and researchers in condensed matter physics. In this Second Edition, the text has been substantially updated to include recent developments in the field such as driven-dissipative quantum systems, kinetics of fermions with Berry curvature, and Floquet kinetics of periodically driven systems, among many other important new topics. Problems have been added throughout, structured as compact guided research projects that encourage independent exploration.

Non-Equilibrium Particle Dynamics

Non-Equilibrium Particle Dynamics
Author: Albert S. Kim
Publisher: BoD – Books on Demand
Total Pages: 198
Release: 2019-12-04
Genre: Science
ISBN: 1839680776

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All engineering processes are processes of non-equilibrium because one or all of heat, mass, and momentum transfer occur in an open system. The pure equilibrium state can be established in an isolated system, in which neither mass nor heat is transferred between the system and the environment. Most engineering transport analyses are based on the semi-, quasi-, or local equilibrium assumptions, which assume that any infinitesimal volume can be treated as a box of equilibrium. This book includes various aspects of non-equilibrium or irreversible statistical mechanics and their relationships with engineering applications. I hope that this book contributes to expanding the predictability of holistic engineering consisting of thermo-, fluid, and particle dynamics.

The Lattice Boltzmann Equation

The Lattice Boltzmann Equation
Author: S. Succi
Publisher: Oxford University Press
Total Pages: 308
Release: 2001-06-28
Genre: Mathematics
ISBN: 9780198503989

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Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.