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Titlebook: Stochastic Dynamics and Irreversibility; Tânia Tomé,Mário J. de Oliveira Textbook 2015 Springer International Publishing Switzerland 2015

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发表于 2025-3-21 19:57:25 | 显示全部楼层 |阅读模式
书目名称Stochastic Dynamics and Irreversibility
编辑Tânia Tomé,Mário J. de Oliveira
视频video
概述Equips readers with a detailed mathematical and theoretical framework suitable for in depth study of stochastic dynamics.Carefully balanced, with detail and clarity, to enable fast progress.Outreach t
丛书名称Graduate Texts in Physics
图书封面Titlebook: Stochastic Dynamics and Irreversibility;  Tânia Tomé,Mário J. de Oliveira Textbook 2015 Springer International Publishing Switzerland 2015
描述This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomena both in thermodynamic equilibrium and out of equilibrium..These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics..It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory an
出版日期Textbook 2015
关键词Dynamic Percolation; Glauber Model; Irreversible System Physics; Noise Induced Phenomena; Nonequilibrium
版次1
doihttps://doi.org/10.1007/978-3-319-11770-6
isbn_softcover978-3-319-36481-0
isbn_ebook978-3-319-11770-6Series ISSN 1868-4513 Series E-ISSN 1868-4521
issn_series 1868-4513
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 22:57:45 | 显示全部楼层
https://doi.org/10.1007/978-3-319-11770-6Dynamic Percolation; Glauber Model; Irreversible System Physics; Noise Induced Phenomena; Nonequilibrium
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Fokker-Planck Equation II,In the previous chapter we studied the Fokker-Planck equation in just one variable. In this chapter we analyze the Fokker-Planck equation in several variables. We consider a system described by . variables .., .., .., ., ...
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Markov Chains,A random variable that depends on a parameter . is called a random function or, if . stands for time, a stochastic variable. We consider here stochastic processes at discrete time and such that the stochastic variable is also discrete. Suppose that a stochastic variable .. takes integer values and that . takes the values 0, 1, 2, 3, ..
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Langevin Equation,ume to be proportional to its velocity, and another of random character due to the impact of the particle with the molecules of the medium. Considering the simple case of a one-dimensional motion along a straight line, the equation of motion for a particle of mass . is given by . where . is the velocity and . the position of the particle.
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