Stochastic Dynamics and Irreversibility

Tânia Tomé, Mário J. de Oliveira

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English

Springer International Publishing AG
23 August 2016

Probability & statistics; Stochastics; Thermodynamics & heat; Mathematical physics

Series: Graduate Texts in Physics

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 and its applications.

By: Tânia Tomé, Mário J. de Oliveira
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: Softcover reprint of the original 1st ed. 2015
Dimensions: Height: 235mm, Width: 155mm, Spine: 21mm
Weight: 6.146kg
ISBN: 9783319364810
ISBN 10: 3319364812
Series: Graduate Texts in Physics
Pages: 394
Publication Date: 23 August 2016
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Tânia Tomé and Mário J. de Oliveira, Universidade de Sao Paulo, Brazil