Download or read book Statistical Mechanics of Nonequilibrium Liquids written by Denis J. Evans and published by ANU E Press. This book was released on 2007-08-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.
Download or read book Statistical Mechanics of Nonequilibrium Liquids written by Denis J. Evans and published by Elsevier. This book was released on 2013-10-22 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Statistical Mechanics of Nonequilibrium Liquids written by Denis J. Evans and published by Cambridge University Press. This book was released on 2014-08-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Saint Dominic Original Indian Souvenir written by and published by . This book was released on 1917 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundraising publication for the rebuilding of the St. Domonic Church at Rush Lake, the booklet contains a photograph of the church, a portrait of the founder, Fr. Louis Baroux, a brief history of the church and the local Potawatomi people, and anecdotes and poems.
Download or read book Statistical Physics of Liquids at Freezing and Beyond written by Shankar Prasad Das and published by Cambridge University Press. This book was released on 2011-06-16 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring important theories for understanding freezing and the liquid-glass transition, this book is useful for graduate students and researchers in soft-condensed matter physics, chemical physics and materials science. It details recent ideas and key developments, providing an up-to-date view of current understanding. The standard tools of statistical physics for the dense liquid state are covered. The freezing transition is described from the classical density functional approach. Classical nucleation theory as well as applications of density functional methods for nucleation of crystals from the melt are discussed, and compared to results from computer simulation of simple systems. Discussions of supercooled liquids form a major part of the book. Theories of slow dynamics and the dynamical heterogeneities of the glassy state are presented, as well as nonequilibrium dynamics and thermodynamic phase transitions at deep supercooling. Mathematical treatments are given in full detail so readers can learn the basic techniques.
Download or read book Equilibrium and Non equilibrium Statistical Mechanics written by Carolyn M. Van Vliet and published by World Scientific. This book was released on 2008 with total page 987 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonequilibrium Statistical Physics written by Roberto Livi and published by Cambridge University Press. This book was released on 2017-10-05 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.
Download or read book Statistical Mechanics of Nonequilibrium Liquids written by Denis J. Evans and published by Cambridge University Press. This book was released on 2008-05-08 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Introduction to Chaos in Nonequilibrium Statistical Mechanics written by J. R. Dorfman and published by Cambridge University Press. This book was released on 1999-08-28 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.
Download or read book Nonequilibrium Statistical Mechanics of Heterogeneous Fluid Systems written by Andrei G. Bashkirov and published by CRC Press. This book was released on 2020-10-07 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a wide variety of heterogeneous fluid systems that possess interphase surfaces. This monograph is devoted to pioneering studies in nonequilibrium statistical mechanics of such systems. Starting from the Liouville equation, the equations of surface hydrodynamics are derived with allowance for discontinuities of thermodynamic parameters of interphase boundaries. Brownian motion of a large solid particle in a fluid and nucleation are treated as results of fluctuations of flows across particle surfaces. With the use of the Gibbs method, a shock wave in a gas is considered as a sort of an interphase surface, and the surface tension of a shock front is introduced for the first time.
Download or read book Statistical Physics of Crystals and Liquids written by Duane C. Wallace and published by World Scientific. This book was released on 2002 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified formulation from first principles of the Hailtonian and statistical mechanics of metallic and insulating crystals, amorphous solids, and liquids.
Download or read book Statistical Mechanics for the Liquid State written by Jean-Louis Bretonnet and published by Cambridge Scholars Publishing. This book was released on 2020-09-18 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a simple and accessible form, this book presents a unified approach to the physics of the liquid state, both in and out of equilibrium. It discerns, behind the seemingly anarchistic proliferation of phenomena observable in the liquid state, the sequence of causes and effects and, where appropriate, the underlying rules that preside over the general principles. The book begins by introducing the fundamental concepts of statistical mechanics, such as classical and quantum mechanics, probability theory, and the kinetic theory of gases, before moving on to discuss theoretical methods in order to contextualise the study of liquids. The last final section is devoted to ordering in complex fluids. It includes detailed technical notes and explicit calculations, and will appeal to graduate students in physics and chemistry. It will also be of interest the reader interested in statistical mechanics and their application to the physics of dense matter. This book will certainly become an indispensable reference for students and researchers who wish to become familiar with a multifaceted process looking towards new horizons.
Download or read book Statistical Mechanics for Chemistry and Materials Science written by Biman Bagchi and published by CRC Press. This book was released on 2018-07-06 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the broad subject of equilibrium statistical mechanics along with many advanced and modern topics such as nucleation, spinodal decomposition, inherent structures of liquids and liquid crystals. Unlike other books on the market, this comprehensive text not only deals with the primary fundamental ideas of statistical mechanics but also covers contemporary topics in this broad and rapidly developing area of chemistry and materials science.
Download or read book Computational Statistical Mechanics written by W.G. Hoover and published by Elsevier. This book was released on 2012-12-02 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Statistical Mechanics describes the use of fast computers to simulate the equilibrium and nonequilibrium properties of gases, liquids, and solids at, and away from equilibrium. The underlying theory is developed from basic principles and illustrated by applying it to the simplest possible examples. Thermodynamics, based on the ideal gas thermometer, is related to Gibb's statistical mechanics through the use of Nosé-Hoover heat reservoirs. These reservoirs use integral feedback to control temperature. The same approach is carried through to the simulation and analysis of nonequilibrium mass, momentum, and energy flows. Such a unified approach makes possible consistent mechanical definitions of temperature, stress, and heat flux which lead to a microscopic demonstration of the Second Law of Thermodynamics directly from mechanics. The intimate connection linking Lyapunov-unstable microscopic motions to macroscopic dissipative flows through multifractal phase-space structures is illustrated with many examples from the recent literature. The book is well-suited for undergraduate courses in advanced thermodynamics, statistical mechanic and transport theory, and graduate courses in physics and chemistry.
Download or read book Exploring Life Phenomena with Statistical Mechanics of Molecular Liquids written by Fumio Hirata and published by CRC Press. This book was released on 2020 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a living body, a variety of molecules are working in a concerted manner to maintain its life, and to carry forward the genetic information from generation to generation. A key word to understand such processes is "water," which plays an essential role in life phenomena. This book sheds light on life phenomena, which are woven by biomolecules as warp and water as weft, by means of statistical mechanics of molecular liquids, the RISM and 3D-RISM theories, both in equilibrium and non-equilibrium. A considerable number of pages are devoted to basics of mathematics and physics, so that students who have not majored in physics may be able to study the book by themselves. The book will also be helpful to those scientists seeking better tools for the computer-aided-drug-discovery. Explains basics of the statistical mechanics of molecular liquids, or RISM and 3D-RISM theories, and its application to water. Provides outline of the generalized Langevin theory and the linear response theory, and its application to dynamics of water. Applies the theories to functions of biomolecular systems. Applies the theories to the computer aided drug design. Provides a perspective for future development of the method.
Download or read book Classical Statistical Mechanics written by G.A. Martynov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonequilibrium Statistical Mechanics written by Robert Zwanzig and published by Oxford University Press. This book was released on 2001-04-19 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
