Non-equilibrium Statistical Physics with Application to Disordered Systems

✍ Scribed by Manuel Osvaldo Cáceres (auth.)

• Publisher: Springer International Publishing
• Year: 2017
• Tongue: English
• Leaves: 568
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xxiv
Elements of Probability Theory....Pages 1-60
Fluctuations Close to Thermodynamic Equilibrium....Pages 61-82
Elements of Stochastic Processes....Pages 83-177
Irreversibility and the Fokker–Planck Equation....Pages 179-239
Irreversibility and Linear Response....Pages 241-272
Introduction to Diffusive Transport....Pages 273-334
Diffusion in Disordered Media....Pages 335-385
Nonequilibrium Statistical Mechanics....Pages 387-428
Metastable and Unstable States....Pages 429-471
Back Matter....Pages 473-556

✦ Subjects

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