Statistical physics

The book is suitable for a lecture course on the theory of Brownian motion, being based on final year undergraduate lectures given at Trinity College, Dublin.

An overview of results and methods, written for graduates and researchers in physics, mathematics, biology, sociology, finance, medicine and engineering.

This work gives a complete overview on the subject of nonconservative stability from the modern point of view.

Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory.

This book provides a comprehensive yet short description of the basic concepts of Complex Network theory.

This text is aimed at professionals and students working on random processes in various areas, including physics and finance.

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory.

The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable.

Markov processes represent a universal model for a large variety of real life random evolutions.

Hermite's theorem makes it known that there are three levels of mathematical frames in which a simple addition formula is valid.

The monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics.

This new expanded second edition has been totally revised and corrected.

Presents a modern and interdisciplinary perspective on cities that combines new data with tools from statistical physics and urban economics.

This book series in the rapidly growing field of computational physics offers up-to-date (submitted to the publisher by electronic mail) reviews for the researcher.

Most of the solid materials we use in everyday life, from plastics to cosmetic gels exist under a non-crystalline, amorphous form: they are glasses.

A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the "e;reversibility paradox"e;, with modern tools.

Existing texts on the statistical mechanics of liquids treat only spherical molecules.

This book provides an introductory albeit solid presentation of path integration techniques as applied to the field of stochastic processes.

Small systems are a very active area of research and development due to improved instrumentation that allows for spatial resolution in the range of sizes from one to 100 nm.

This book is essentially based on the lecture course on "e;Statistical Physics"e;, which was taught by the author at the physical faculty of the Ural State University in Ekaterinburg since 1992.

Once again faithful to its goal of making string theory accessible to undergraduates - and now also covers AdS/CFT correspondence.

The powerful tool of functional integration is widely applied and shown to be user-friendly and mathematically robust.

This book highlights the importance of Electron Statistics (ES), which occupies a singular position in the arena of solid state sciences, in heavily doped (HD) nanostructures by applying Heisenberg's Uncertainty Principle directly without using the complicated Density-of-States function approach as given in the literature.

Presents a unified treatment of anomalous diffusion problems using fractional calculus in a wide range of applications across scientific and technological disciplines.

The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics.

This book explains in detail the key concepts, calculations and applications elucidating quantum tunnelling mediated by instantons, using the Feynman path integral.

This book explains the tools and concepts needed for a research-level understanding of the subject, for graduate students in condensed matter physics.

This Element provides a tutorial on the Gillespie algorithms focusing on social multiagent dynamics and also review their recent extensions.

An introduction to how the mathematical tools from quantum field theory can be applied to economics and finance.

The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry.

This popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.

This original text develops a deep understanding of thermal physics and highlights the important links between statistical physics and thermodynamics.

Our understanding of the physical universe underwent a revolution in the early twentieth century - evolving from the classical physics of Newton, Galileo, and Maxwell to the modern physics of relativity and quantum mechanics.

An advanced undergraduate and graduate textbook introducing differential geometry for theoretical physics and applied mathematics.

A leading authority sheds light on a variety of interesting topics in which probability theory plays a key role.

A philosophical perspective to statistical mechanics for graduate students and researchers in the foundations and philosophy of physics.

This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.

Unraveling the mystery of the negative thermal expansion of liquid water has been a challenge for scientists for centuries.

Fluctuating parameters appear in a variety of physical systems and phenomena.

This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the concepts developed through numerous examples to help the reader become familiar with the techniques.

Engagingly-written account of mathematical tools and ideas, providing a graduate-level introduction to the mathematics used in research in physics.

This book provides a succinct overview of recent progress in characterization of heat carriers describing atomic motion in liquids.

This revised fourth edition provides an introduction to computer simulations in physics, cutting-edge algorithms, essential techniques, and petascale computing.

Nonlinear Time Series Analysis with R provides a practical guide to emerging empirical techniques allowing practitioners to diagnose whether highly fluctuating and random appearing data are most likely driven by random or deterministic dynamic forces.

Over the past two decades percolation theory has been used to explain and model a wide variety of phenomena that are of industrial and scientific importance.

This book presents a vivid argument for the almost lost idea of a unity of all natural sciences.