[[ Free ePUB ]] Non-equilibrium Statistical Physics with Application to Disordered SystemsAuthor Manuel Osvaldo Cáceres – Albawater.co

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.