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Non-equilibrium Statistical Physics with Application to Disordered Systems

  • Manuel Osvaldo Cáceres

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Manuel Osvaldo Cáceres
    Pages 1-60
  3. Manuel Osvaldo Cáceres
    Pages 61-82
  4. Manuel Osvaldo Cáceres
    Pages 83-177
  5. Manuel Osvaldo Cáceres
    Pages 179-239
  6. Manuel Osvaldo Cáceres
    Pages 241-272
  7. Manuel Osvaldo Cáceres
    Pages 273-334
  8. Manuel Osvaldo Cáceres
    Pages 335-385
  9. Manuel Osvaldo Cáceres
    Pages 387-428
  10. Manuel Osvaldo Cáceres
    Pages 429-471
  11. Back Matter
    Pages 473-556

About this book

Introduction

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.

Keywords

Textbook non-equilibrium statistical mechanics Textbook non-equilibrium statistical physics Introduction to random media Elements of stochastic processes Statistics Random Environments Fluctuation-dissipation in quantum and classical systems Markov and non-Markov processes Non-stationary periodic stochastic process Ito vs. Stratonovich Calculus Master equation classical relaxation and quantum decoherence Leslie matrices in biology Population dynamics, first passage time Gaussian, vs. non-Gaussian noises

Authors and affiliations

  • Manuel Osvaldo Cáceres
    • 1
  1. 1.Centro Atómico Bariloche and Instituto BalseiroComisión Nacional de Energía Atómica and Universidad Nacional de Cuyo, and Comisión Nacional de Investigaciones Científicas y TécnicasSan Carlos de BarilocheArgentina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-51553-3
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-51552-6
  • Online ISBN 978-3-319-51553-3
  • Buy this book on publisher's site