Focuses on relativistic statistical mechanics. This book is suitable for graduate students and young researchers for whom it offers methods and also appropriate schemes to deal with the problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
Written by a world-renowned theoretical physicist, this textbook familiarizes advanced undergraduate students with the different aspects of statistical physics. Along with many exercises, it includes a discussion of phase transition in thermodynamics. It also covers stochastic processes.
This text is a very concise modern introduction to complex networks based on lectures for university students and non-specialists. The text fills the gap between popular science books and comprehensive reference volumes. The book describes the current state of the art in complex networks and will be useful for teaching and self-study.
This book covers the most interesting and active aspects of localized states in physics, including localized states in fluids, chemical reactions on surfaces, neural networks, optical systems, granular systems, population models, and Bose-Einstein condensates.
This book presents a united approach to the statistical physics of systems near equilibrium: it brings out the profound unity of the laws which govern them and gathers together results usually fragmented in the literature. It will be useful both as a textbook about irreversible phenomena and as a reference book for researchers.
This book is a collection of contributions on various aspects of frontier research in the field of dynamical systems and chaos. Each chapter examines a specific research topic and, in addition to reviewing recent results, also discusses future perspectives.
This book illustrates how models of complex systems are built up and provides indispensable mathematical tools for studying their dynamics. This second edition includes more recent research results and many new and improved worked out examples and exercises.
A masters/graduate level textbook on statistical physics. It discusses the basics of the discipline and its application in the current topics of interest like Bose-Einstein condensate, statistical astrophysics and phase transitions have been discussed with thoroughness.
Presents a comprehensive introduction to the theory of phase transitions and critical phenomena. This title covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems.
An introduction to the concepts and techniques of statistical physics for students of biology, biochemistry and biophysics. The text provides a basis for understanding random motions of molecules, subcellular particles or cells, or of processes that depend on such motion or are affected by it.
This textbook constitutes both a graduate-level survey of statistical physics and a rather personal perspective on critical behaviour. Thus, it defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research level.
Fractional Dynamics presents applications of fractional calculus, integral and differential equations of non-integer orders, and fractal properties. Written for scientists and graduate students alike, this volume is applicable to mechanics and applied mathematics, electrodynamics, quantum dynamics, and more.
Distills the core ideas of statistical mechanics to make room for advances important to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students, this text explores everything from chaos through information theory to life at the end of the universe.
This book sets out the concept of a fuzzy network with rule bases as nodes whose connections are the interactions between the rule bases in the form of outputs fed as inputs. This systematic study will improve the feasibility and transparency of fuzzy models.
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.
This innovative monograph lays special emphasis on the deductive approach to uncertainties and on the shape of uncertainty distributions. The approach used to understand the nature of uncertainties is novel in that it is completely decoupled from measurements.
This thesis deals with delay effects in nonlinear systems, which feature in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. It covers both the instabilities arising from time delay and their suppression.
This collection of essays by twenty eminent physicists presents an in-depth analysis of the meaning of probabilities in contemporary physics. It offers historical background and new ideas on longstanding questions as well as examines philosophical aspects.
The theory of quantum gravity is hoped to solve, when constructed, many riddles of contemporary high energy physics and to bring about a completely different understanding of space, time and matter. This title features the proceedings of the 'The Planck Scale' meeting that present a wide spectrum of aspects of quantum gravity.
Aims to provide the groundwork that will lead 3rd and 4th year undergraduate students of chemistry and chemical engineering from their knowledge of elementary classical thermodynamics to an understanding of the statistical behaviour of assemblies of large numbers of identical molecules, in an ideal gas at constant temperature and volume.
This work provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers.
Intended for upper-level undergraduate courses, this book discusses the techniques of statistical and thermal physics. It outlines the relation between the macroscopic and microscopic worlds, and presents thermodynamic reasoning as an independent way of thinking about macroscopic systems. It also introduces probability concepts and techniques.
How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability and quantum probability. It presents the five Navier-Stokes equations that are modified by a diffusion term in the continuity equation.
Provides a readable introduction to statistical physics. This book adopts a straightforward quantum approach to statistical averaging from the outset. It is geared towards explaining the equilibrium properties of a simple isolated assembly of particles. It also includes chapters on chemical thermodynamics.
An introduction to statistical physics that focuses on the basic principles, and attempts to explain these in simple terms supplemented by numerous examples. This title includes chapters that treat significant applications to solids, radiation and to electrons in metals. Each chapter concludes with examples and exercises.
In this book, leading string theory experts introduce cutting-edge research. Topics include new developments in topological strings or in AdS/CFT dualities, and emerging subfields such as doubled field theory and holography in the hydrodynamical regime.
Deals with the 100th anniversary of one of the outstanding personalities of the XXth century, physicist and mathematician Mykola Bogolyubov (21/08/1909 - 13/02/1992). This title covers such topics as: quantum many-particle systems, soft condensed matter, cooperative phenomena and phase transitions, and and exotic problems of statistical physics.