Stochastic Dynamics and Irreversibility [electronic resource]

• 作者： Tome, Tania.
• 其他作者：
  • de Oliveira, Mario J.
  • SpringerLink (Online service)
• 其他題名：
  • Graduate texts in physics,
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Graduate texts in physics,
• 主題： Physics , Chemistry--Mathematics , Mathematical physics , Thermodynamics , Mathematical Methods in Physics. , Math. Applications in Chemistry. , Nonlinear Dynamics. , Thermodynamics , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
• ISBN： 9783319117706 (electronic bk.) 、 9783319117690 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Random Variables -- Sequence of Independent Variables -- Langevin equation -- Fokker-Planck Equation I -- Fokker-Planck Equation II -- Markov Chains -- Master Equation I -- Master Equation II -- Phase Transitions and Criticality -- Reactive Systems -- Glauber Model -- Systems with Inversion Symmetry -- Systems with Absorbing States -- Population Dynamics -- Probabilistic Cellular automata -- Reaction-Diffusion Processes -- Random Sequential Adsoprtion -- Percolation.
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• 摘要註: 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 phenomema 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 and its applications.
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