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Statistical Dynamics: Matter Out Of Equilibrium

1997-04-19 Science
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Release : 1997-04-19
Genre : Science
Kind : eBook
Book Rating : 613/5 ( reviews)

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Book Synopsis Statistical Dynamics: Matter Out Of Equilibrium by : Radu Balescu

Download or read book Statistical Dynamics: Matter Out Of Equilibrium written by Radu Balescu. This book was released on 1997-04-19. 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

Statistical Mechanics of Lattice Systems

2017-11-23 Mathematics
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Release : 2017-11-23
Genre : Mathematics
Kind : eBook
Book Rating : 827/5 ( reviews)

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Book Synopsis Statistical Mechanics of Lattice Systems by : Sacha Friedli

Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli. This book was released on 2017-11-23. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Statistical Mechanics: Theory and Molecular Simulation

2010-02-11 Science
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Release : 2010-02-11
Genre : Science
Kind : eBook
Book Rating : 461/5 ( reviews)

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Book Synopsis Statistical Mechanics: Theory and Molecular Simulation by : Mark Tuckerman

Download or read book Statistical Mechanics: Theory and Molecular Simulation written by Mark Tuckerman. This book was released on 2010-02-11. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems that bridge the traditional disciplines of physics, chemistry, biology, and materials science can be studied at an unprecedented level of detail using increasingly sophisticated theoretical methodology and high-speed computers. The aim of this book is to prepare burgeoning users and developers to become active participants in this exciting and rapidly advancing research area by uniting for the first time, in one monograph, the basic concepts of equilibrium and time-dependent statistical mechanics with the modern techniques used to solve the complex problems that arise in real-world applications. The book contains a detailed review of classical and quantum mechanics, in-depth discussions of the most commonly used ensembles simultaneously with modern computational techniques such as molecular dynamics and Monte Carlo, and important topics including free-energy calculations, linear-response theory, harmonic baths and the generalized Langevin equation, critical phenomena, and advanced conformational sampling methods. Burgeoning users and developers are thus provided firm grounding to become active participants in this exciting and rapidly advancing research area, while experienced practitioners will find the book to be a useful reference tool for the field.

Statistical Dynamics

2009 Science
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Release : 2009
Genre : Science
Kind : eBook
Book Rating : 448/5 ( reviews)

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Book Synopsis Statistical Dynamics by : R. F. Streater

Download or read book Statistical Dynamics written by R. F. Streater. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of the molecules. When applied to chemical reactions, the theory leads to the usual nonlinear reaction-diffusion equations as well as modifications of them. These can exhibit oscillations, or can converge to equilibrium.In this second edition, the text is simplified in parts and the bibliography has been expanded. The main difference is the addition of two new chapters; in the first, classical fluid dynamics is introduced. A lattice model is developed, which in the continuum limit gives us the Euler equations. The five Navier-Stokes equations are also presented, modified by a diffusion term in the continuity equation. The second addition is in the last chapter, which now includes estimation theory, both classical and quantum, using information geometry.

Statistical Physics: Statics, Dynamics And Renormalization

2000-05-05 Science
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Release : 2000-05-05
Genre : Science
Kind : eBook
Book Rating : 90X/5 ( reviews)

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Book Synopsis Statistical Physics: Statics, Dynamics And Renormalization by : Leo P Kadanoff

Download or read book Statistical Physics: Statics, Dynamics And Renormalization written by Leo P Kadanoff. This book was released on 2000-05-05. Available in PDF, EPUB and Kindle. Book excerpt: The material presented in this invaluable textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behavior. Thus, this book defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research level. To supplement the research-level side the book includes some research papers. Several of these are classics in the field, including a suite of six works on self-organized criticality and complexity, a pair on diffusion-limited aggregation, some papers on correlations near critical points, a few of the basic sources on the development of the real-space renormalization group, and several papers on magnetic behavior in a plain geometry. In addition, the author has included a few of his own papers.

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