Download or read book An Introduction to Chaos in Nonequilibrium Statistical Mechanics written by Jay Robert Dorfman and published by . This book was released on 1999 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Microscopic Chaos Fractals and Transport in Nonequilibrium Statistical Mechanics written by Rainer Klages and published by World Scientific. This book was released on 2007 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Chaos Scattering and Statistical Mechanics written by Pierre Gaspard and published by Cambridge University Press. This book was released on 1998-05-21 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally, and to transport by deterministic diffusion in particular. The author presents the basic tools of dynamical systems theory, such as dynamical instability, topological analysis, periodic-orbit methods, Liouvillian dynamics, dynamical randomness and large-deviation formalism. These tools are applied to chaotic scattering and to transport in systems near equilibrium and maintained out of equilibrium. This book will be bought by researchers interested in chaos, dynamical systems, chaotic scattering, and statistical mechanics in theoretical, computational and mathematical physics and also in theoretical chemistry.
Download or read book Non Equilibrium Statistical Mechanics written by Ilya Prigogine and published by Courier Dover Publications. This book was released on 2017-03-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Chaos written by Angelo Vulpiani and published by World Scientific. This book was released on 2010 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.
Download or read book An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics written by Horacio S. Wio and published by World Scientific Publishing Company Incorporated. This book was released on 1994-01-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Dynamics Matter Out Of Equilibrium written by Radu Balescu and published by World Scientific. This book was released on 1997-04-19 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first part of this book, classical nonequilibrium statistical mechanics is developed. Starting from the Hamiltonian dynamics of the molecules, it leads through the irreversible kinetic equations to the level of fluid mechanics. For simple systems, all the transport coefficients are determined by the molecular properties.The second part of the book treats complex systems that require a more extensive use of statistical concepts. Such problems, which are at the forefront of research, include: continuous time random walks, non-Markovian diffusion processes, percolation and related critical phenomena, transport on fractal structures, transport and deterministic chaos. These “strange transport processes” differ significantly from the usual (diffusive) transport. Their inclusion in a general treatise on statistical mechanics is a special feature of this invaluable book./a
Download or read book Elements of Nonequilibrium Statistical Mechanics written by V. Balakrishnan and published by Springer. This book was released on 2021-12-05 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to Nonequilibrium Statistical Mechanics written by James A. McLennan and published by . This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Order Out of Chaos written by Ilya Prigogine and published by Verso Books. This book was released on 2018-01-23 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering book that shows how the two great themes of classic science, order and chaos, are being reconciled in a new and unexpected synthesis Order Out of Chaos is a sweeping critique of the discordant landscape of modern scientific knowledge. In this landmark book, Nobel Laureate Ilya Prigogine and acclaimed philosopher Isabelle Stengers offer an exciting and accessible account of the philosophical implications of thermodynamics. Prigogine and Stengers bring contradictory philosophies of time and chance into a novel and ambitious synthesis. Since its first publication in France in 1978, this book has sparked debate among physicists, philosophers, literary critics and historians.
Download or read book Thermodynamics and an Introduction to Thermostatistics written by Herbert B. Callen and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only text to cover both thermodynamic and statistical mechanics--allowing students to fully master thermodynamics at the macroscopic level. Presents essential ideas on critical phenomena developed over the last decade in simple, qualitative terms. This new edition maintains the simple structure of the first and puts new emphasis on pedagogical considerations. Thermostatistics is incorporated into the text without eclipsing macroscopic thermodynamics, and is integrated into the conceptual framework of physical theory.
Download or read book Boltzmann s Legacy written by Jakob Yngvason and published by European Mathematical Society. This book was released on 2008 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ludwig Eduard Boltzmann (1844-1906) was an Austrian physicist famous for his founding contributions in the fields of statistical mechanics and statistical thermodynamics. He was one of the most important advocates for atomic theory when that scientific model was still highly controversial. To commemorate the 100th anniversary of his death in Duino, the International Symposium ``Boltzmann's Legacy'' was held at the Erwin Schrodinger International Institute for Mathematical Physics in June 2006. This text covers a broad spectrum of topics ranging from equilibrium statistical and nonequilibrium statistical physics, ergodic theory and chaos to basic questions of biology and historical accounts of Boltzmann's work. Besides the lectures presented at the symposium the volume also contains contributions specially written for this occasion. The articles give a broad overview of Boltzmann's legacy to the sciences from the standpoint of some of today's leading scholars in the field. The book addresses students and researchers in mathematics, physics, and the history of science.
Download or read book Introduction To Relativistic Statistical Mechanics Classical And Quantum written by Remi Joel Hakim and published by World Scientific. This book was released on 2011-03-28 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics — to which a major part is devoted — will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
Download or read book Chaos and Coarse Graining in Statistical Mechanics written by Patrizia Castiglione and published by Cambridge University Press. This book was released on 2008-08-21 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: While statistical mechanics describe the equilibrium state of systems with many degrees of freedom, and dynamical systems explain the irregular evolution of systems with few degrees of freedom, new tools are needed to study the evolution of systems with many degrees of freedom. This book presents the basic aspects of chaotic systems, with emphasis on systems composed by huge numbers of particles. Firstly, the basic concepts of chaotic dynamics are introduced, moving on to explore the role of ergodicity and chaos for the validity of statistical laws, and ending with problems characterized by the presence of more than one significant scale. Also discussed is the relevance of many degrees of freedom, coarse graining procedure, and instability mechanisms in justifying a statistical description of macroscopic bodies. Introducing the tools to characterize the non asymptotic behaviors of chaotic systems, this text will interest researchers and graduate students in statistical mechanics and chaos.
