Authors:
- Fills the gap in the literature for an introductory and didactical book on stochastic processes with different applications in physics and biology
- Presents a student-friendly text on non-equilibrium statistical mechanics and non-stationary stochastic processes
- Provides a concise and didactical text addressing the Fluctuation-Dissipation theorem in classical and quantum systems from first principles
- Includes, in each chapter, numerous problems and their solutions
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
About this book
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
Reviews
“This book represents a very comprehensive guideline for random variables and processes especially focused on the practical usage of computational techniques required for solving corresponding problems of modern statistical physics and kinetics. … Finally, the book is concluded by appendices, which give additional basic information about statistical and quantum mechanics as well as some mathematical methods, which can be useful for a reader’s reference.” (Eugene Postnikov, zbMATH 1378.82002, 2018)
Authors and Affiliations
-
Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica and Universidad Nacional de Cuyo, and Comisión Nacional de Investigaciones Científicas y Técnicas, San Carlos de Bariloche, Argentina
Manuel Osvaldo Cáceres
About the author
Prof. Dr. Manuel Osvaldo Caceres did his PhD in Physics, in anomalous transport in heterogeneous media in 1986 at the Instituto Balseiro, Argentina. He had several Post-Doc stays in Spain, Germany and Belgium, therefore getting himself into the new trends of non-equilibrium statistical mechanics. His main contributions were in: dynamical localization, nonlinear optics, stochastic liquid crystals, pattern formation in fluids, and explosive systems. In 2005, he got an Associate Professor position at the International Center of Theoretical Physics (ICTP), Trieste, Italy, after which he returned to his country to teach non-equilibrium statistical mechanics and disorder.
Dr. Manuel O. Caceres is currently Full Professor at the Instituto Balseiro, Univ. Nac. Cuyo, Argentina. Senior Researcher at Centro Atómico Bariloche, Comisión Nacional de Energía Atómica (CNEA), Argentina. Former Head of the Statistical Division at the Centro Atomico Bariloche, CNEA, Argentina.
He has published more than a hundred of peer reviewed papers in international journals in the fields of anomalous transport in solid state physics, diffusion-advection in random fluids, pattern formation in stochastic Rayleigh-Bénard experiments, phenomenology in quantum dissipation, and theory of extreme densities in random media. He also published a textbook on statistical non-equilibrium mechanics and random media, in Spanish.
Bibliographic Information
Book Title: Non-equilibrium Statistical Physics with Application to Disordered Systems
Authors: Manuel Osvaldo Cáceres
DOI: https://doi.org/10.1007/978-3-319-51553-3
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-51552-6Published: 16 March 2017
Softcover ISBN: 978-3-319-84681-1Published: 21 July 2018
eBook ISBN: 978-3-319-51553-3Published: 07 March 2017
Edition Number: 1
Number of Pages: XXIV, 556
Number of Illustrations: 51 b/w illustrations
Additional Information: Original Spanish edition published by Reverté, Barcelona, 2002
Topics: Complex Systems, Physical Chemistry, Mathematical Physics, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences, Engineering Thermodynamics, Heat and Mass Transfer, Statistical Physics and Dynamical Systems