Statistical Mechanics of Nonequilibrium Liquids

Author: Denis J. Evans
Publisher: Elsevier
ISBN: 1483260453
Format: PDF, Kindle
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Statistical Mechanics of Nonequilibrium Liquids deals with theoretical rheology. The book discusses nonlinear response of systems and outlines the statistical mechanical theory. In discussing the framework of nonequilibrium statistical mechanics, the book explains the derivation of a nonequilibrium analogue of the Gibbsian basis for equilibrium statistical mechanics. The book reviews the linear irreversible thermodynamics, the Liouville equation, and the Irving-Kirkwood procedure. The text then explains the Green-Kubo relations used in linear transport coefficients, the linear response theory, the isothermal linear response theory, as well as the equivalence of thermostatted linear responses. The book also describes how thermostatted linear mechanical response of many-body systems can be related to equilibrium fluctuations. The text explains the procedure for calculating the linear Navier-Stokes transport coefficients through computer simulation algorithms. The book also discusses the van Kampen objection to linear response theory, the steady-state fluctuations, and the thermodynamics of steady states. The text will prove valuable for researchers in molecular chemistry, scientists, and academicians involved in advanced physics.

Nonequilibrium Molecular Dynamics

Author: Billy D. Todd
Publisher: Cambridge University Press
ISBN: 1316982475
Format: PDF, ePub, Docs
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Written by two specialists with over twenty-five years of experience in the field, this valuable text presents a wide range of topics within the growing field of nonequilibrium molecular dynamics (NEMD). It introduces theories which are fundamental to the field - namely, nonequilibrium statistical mechanics and nonequilibrium thermodynamics - and provides state-of-the-art algorithms and advice for designing reliable NEMD code, as well as examining applications for both atomic and molecular fluids. It discusses homogenous and inhomogenous flows and pays considerable attention to highly confined fluids, such as nanofluidics. In addition to statistical mechanics and thermodynamics, the book covers the themes of temperature and thermodynamic fluxes and their computation, the theory and algorithms for homogenous shear and elongational flows, response theory and its applications, heat and mass transport algorithms, applications in molecular rheology, highly confined fluids (nanofluidics), the phenomenon of slip and how to compute it from basic microscopic principles, and generalized hydrodynamics.

Thermodynamics of Fluids Under Flow

Author: D. Jou
Publisher: Springer Science & Business Media
ISBN: 3662044145
Format: PDF
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Based on the authors’ successful theory for extended irreversible thermodynamics, the book analyzes the thermodynamic aspects of several phenomena induced by the flow in fluid systems.

Computer Simulation of Liquids

Author: M. P. Allen
Publisher: Oxford University Press
ISBN: 9780198556459
Format: PDF, Docs
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This book describes how to use computers to simulate the properties of liquids. It provides an introduction and practical guide to the molecular dynamics and Monte Carlo methods. 'The book is comprehensive, thorough and readable' Chemistry in Britain

Classical Statistical Mechanics

Author: G.A. Martynov
Publisher: Springer Science & Business Media
ISBN: 9401589631
Format: PDF, ePub
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Statistical mechanics deals with systems in which chaos and randomness reign supreme. The current theory is therefore firmly based on the equations of classical mechanics and the postulates of probability theory. This volume seeks to present a unified account of classical mechanical statistics, rather than a collection of unconnected reviews on recent results. To help achieve this, one element is emphasised which integrates various parts of the prevailing theory into a coherent whole. This is the hierarchy of the BBGKY equations, which enables a relationship to be established between the Gibbs theory, the liquid theory, and the theory of nonequilibrium phenomena. As the main focus is on the complex theoretical subject matter, attention to applications is kept to a minimum. The book is divided into three parts. The first part describes the fundamentals of the theory, embracing chaos in dynamic systems and distribution functions of dynamic systems. Thermodynamic equilibrium, dealing with Gibbs statistical mechanics and the statistical mechanics of liquids, forms the second part. Lastly, the third part concentrates on kinetics, and the theory of nonequilibrium gases and liquids in particular. Audience: This book will be of interest to graduate students and researchers whose work involves thermophysics, theory of surface phenomena, theory of chemical reactions, physical chemistry and biophysics.

Beyond Equilibrium Thermodynamics

Author: Hans Christian Öttinger
Publisher: John Wiley & Sons
ISBN: 0471727911
Format: PDF, ePub, Docs
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Beyond Equilibrium Thermodynamics fills a niche in the market by providing a comprehensive introduction to a new, emerging topic in the field. The importance of non-equilibrium thermodynamics is addressed in order to fully understand how a system works, whether it is in a biological system like the brain or a system that develops plastic. In order to fully grasp the subject, the book clearly explains the physical concepts and mathematics involved, as well as presenting problems and solutions; over 200 exercises and answers are included. Engineers, scientists, and applied mathematicians can all use the book to address their problems in modelling, calculating, and understanding dynamic responses of materials.

The Principles of Statistical Mechanics

Author: Richard Chace Tolman
Publisher: Courier Corporation
ISBN: 9780486638966
Format: PDF, Kindle
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This is the definitive treatise on the fundamentals of statistical mechanics. A concise exposition of classical statistical mechanics is followed by a thorough elucidation of quantum statistical mechanics: postulates, theorems, statistical ensembles, changes in quantum mechanical systems with time, and more. The final two chapters discuss applications of statistical mechanics to thermodynamic behavior. 1930 edition.

Equilibrium and Non equilibrium Statistical Mechanics

Author: Carolyn M. Van Vliet
Publisher: World Scientific
ISBN: 9812704779
Format: PDF, ePub
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This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.

Statistische Mechanik

Author: Franz Schwabl
Publisher: Springer-Verlag
ISBN: 3540310975
Format: PDF, ePub, Mobi
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"Das Buch eignet sich ausgezeichnet als Grundlage oder Ergänzungslektüre für eine theoretische Vorlesung ab dem 5. Semester. Es deckt praktisch alle ... üblichen Inhalte ab, geht aber teilweise auch wesentlich darüber hinaus ... Zusammenfassend kann dieses Buch sowohl als Begleittext zu einer Vorlesung wie auch als Nachschlagewerk wärmstens empfohlen werden." (Physikalische Blätter) "... Die Fülle des behandelten Stoffes ist beeindruckend ... kann Studenten der ... Chemie, ... Physik und verwandter Disziplinen nachdrücklich empfohlen werden. Aber auch als Lehr- und Nachschlagewerk ist es geeignet." (Zeitschrift für Physikalische Chemie)