Statistisk fysik

This book deals with certain important problems in Classical and Quantum Information Theory and will be very helpful for students of Undergraduate and Postgraduate Courses in Electronics, Communication and Signal Processing.

Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.

Centered around the natural phenomena of relaxations and fluctuations, this monograph provides readers with a solid foundation in the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution functions. It emphasizes principles and notions of the theory (e.g. self-organization, stochastic feedback, free energy, and Markov processes), while also illustrating the wide applicability (e.g. collective behavior, multistability, front dynamics, and quantum particle distribution). The focus is on relaxation processes in homogeneous many-body systems describable by nonlinear Fokker-Planck equations. Also treated are Langevin equations and correlation functions. Since these phenomena are exhibited by a diverse spectrum of systems, examples and applications span the fields of physics, biology and neurophysics, mathematics, psychology, and biomechanics.

Intended for beginners in ergodic theory, this introductory textbook addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theroy. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.

This is the first monograph devoted to investigation of the most complex physical processes of soft systems, including a wide class of solutions. It blends modern theoretical understanding and experimental results, proposing new methods and models for the description of several soft systems.

The aim of this book is to provide the fundamentals of statistical physics and its application to condensed matter.

Suitable for undergraduate students on a basic course in statistical mechanics, this textbook begins with a study of three situations - the closed system and the systems in thermal contact with a reservoir - in order to formulate the important fundamentals: entropy from Boltzmann formula, partition function and grand partition function.

Presents the principles, basic concepts and application of statistical mechanics. It covers the basis of statistical mechanics; elements of ensemble theory; classical or Maxwell-Boltzmann statistics; foundation of quantum statistics; Fermi-Dirac statistics; Bose-Einstein statistics; interacting classical systems; and an introduction to phase transition.

Provides an introduction to the most important aspects in the physics of non-equilibrium systems. This title introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a probabilistic angle.