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Author Cáceres, Manuel Osvaldo, author.

Title Non-equilibrium statistical physics with application to disordered systems / Manuel Osvaldo Cáceres.

Published Cham, Switzerland : Springer, 2017.

Copies

Location Call No. Status
 UniM ERC  530.12 CACE    AVAILABLE
Physical description xxiv, 556 pages : illustrations ; 24 cm
Bibliography Includes bibliographical references and index.
Contents Elements of probability theory -- Fluctuations close to thermodynamic equilibrium -- Elements of Stochastic processes -- Irreversibility and the Fokker-Planek equation -- Irreversibility and linear response -- Introduction to diffusive transport -- Diffusion in disordered media -- Non-equilibrium statistical mechanics -- Metastable and unstable states.
Summary This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth year of a typical undergraduate course. The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text. It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations. In particular it discusses the problem of irreversibility in that context and the dynamics of Fokker-Planck. An introduction on fluctuations around metastable and unstable points are given. It also describes relaxation theory of non-stationary Markov periodic in time systems. The theory of finite and infinite transport in disordered networks, with a discussion of the issue of anomalous diffusion is introduced. Further, it provides the basis for establishing the relationship between quantum aspects of the theory of linear response and the calculation of diffusion coefficients in amorphous systems.
Subject Statistical physics.
Nonequilibrium statistical mechanics.
ISBN 9783319515526 (print)
3319515527 (print)
9783319515533 (electronic bk.)
3319515535 (electronic bk.)