Statistical Physics

e-books in Statistical Physics category

Statistical Mechanics of Lattice Systems
by Sacha Friedli, Yvan Velenik - Cambridge University Press , 2017
This motivating textbook gives a friendly, rigorous introduction to fundamental concepts in equilibrium statistical mechanics, covering a selection of specific models, including the Curie-Weiss and Ising models, the Gaussian free field, O(n) models.
(2405 views)

Lecture notes on Generalised Hydrodynamics
by Benjamin Doyon - arXiv.org , 2020
I overview in a pedagogical fashion the main aspects of the theory of generalised hydrodynamics, a hydrodynamic theory for quantum and classical many-body integrable systems. Only a basic knowledge of hydrodynamics and integrable systems is assumed.
(2051 views)

Thermodynamics and Statistical Mechanics of Small Systems
by A. Puglisi, A. Sarracino, A. Vulpiani (eds) - MDPI AG , 2018
Applications of the thermodynamic and statistical mechanics of small systems range from molecular biology to micro-mechanics, including models of nano-transport, Brownian motors, and (living or artificial) self-propelled organisms.
(5458 views)

Modern Statistical Mechanics
by Paul Fendley - The University of Virginia , 2014
This book is an attempt to cover the gap between what is taught in a conventional statistical mechanics class and between what is necessary to understand current research. The aim is to introduce the basics of many-body physics to a wide audience.
(7555 views)

Novel Dynamical Phenomena In Magnetic Systems
by Soham Biswas - arXiv , 2016
Dynamics of Ising models is a much studied phenomenon and has emerged as a rich field of present-day research. An important dynamical feature commonly studied is the quenching phenomenon below the critical temperature ...
(5016 views)

Elementary Principles of Statistical Mechanics
by Josiah Willard Gibbs - Charles Scribner's Sons , 1902
Written by J. Willard Gibbs, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The text remains a valuable collection of fundamental equations and principles.
(10476 views)

Advanced Topics of Theoretical Physics II: The statistical properties of matter
by Peter E. Blöchl - TU Clausthal , 2014
The table of contents: Transition-state theory; Diffusion; Monte Carlo Method; Quantum Monte Carlo; Decoherence; Notes on the Interpretation of Quantum Mechanics; Irreversible Thermodynamics; Transport; Interacting Systems and Phase Transitions; etc.
(5572 views)

Theoretical Physics IV: Statistical Physics
by Peter E. Blöchl - Clausthal University of Technology , 2013
From the table of contents: Entropy and Information; The ideal Boltzmann gas; Equilibrium; Thermodynamic Processes; The Language of Thermodynamics; The Language of Statistical Physics; Non-interacting Model Systems; Non-interacting particles.
(7319 views)

Study notes for Statistical Physics
by W. David McComb - Bookboon , 2015
This is an academic textbook in three parts, intended for a one-semester course in statistical physics at honours BSc level. Throughout the book, the emphasis is on a clear, concise exposition, with all steps being clearly explained.
(5775 views)

Lecture Notes on Thermodynamics and Statistical Mechanics
by Daniel Arovas - University of California, San Diego , 2013
Contents: Probability 2. Thermodynamics 3. Ergodicity and the Approach to Equilibrium 4. Statistical Ensembles 5. Noninteracting Quantum Systems 6. Classical Interacting Systems 7. Mean Field Theory of Phase Transitions 8. Nonequilibrium Phenomena.
(9897 views)

Statistical Physics of Fields
by Mehran Kardar - MIT , 2014
Topics: The hydrodynamic limit and classical field theories; Phase transitions and broken symmetries: universality, correlation functions, and scaling theory; The renormalization approach to collective phenomena; Dynamic critical behavior; etc.
(7785 views)

Statistical Mechanics of Particles
by Mehran Kardar - MIT , 2013
Basic principles are examined: the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; lattice vibrations; etc.
(6985 views)

Thermodynamic Limit in Statistical Physics
by A. L. Kuzemsky - arXiv , 2014
The thermodynamic limit in statistical thermodynamics of many-particle systems is an important issue. We review the past and present disposition of thermodynamic limiting procedure in the structure of the contemporary statistical mechanics ...
(6857 views)

Phase Transitions and Collective Phenomena
by Ben Simons - University of Cambridge , 1997
Contents -- Preface; Chapter 1: Critical Phenomena; Chapter 2: Ginzburg-Landau Theory; Chapter 3: Scaling Theory; Chapter 4: Renormalisation Group; Chapter 5: Topological Phase Transitions; Chapter 6: Functional Methods in Quantum Mechanics.
(7161 views)

Statistical Physics: a Short Course for Electrical Engineering Students
by Neri Merhav - arXiv , 2013
This is a set of lecture notes of a course on statistical physics and thermodynamics, oriented towards electrical engineering students. The main body of the lectures is devoted to statistical physics, whereas much less emphasis is on thermodynamics.
(8001 views)

Relativistic Kinetic Theory: An Introduction
by Olivier Sarbach, Thomas Zannias - arXiv , 2013
A brief introduction to the relativistic kinetic theory of gases with emphasis on the underlying geometric and Hamiltonian structure of the theory. We start with a discussion on the tangent bundle of a Lorentzian manifold of arbitrary dimension...
(7199 views)

Non-Equilibrium Statistical Mechanics
by Gunnar Pruessner - Imperial College London , 2011
This is an attempt to deliver, within a couple of hours, a few key-concepts of non-equilibrium statistical mechanics. The goal is to develop some ideas of contemporary research. Many of the ideas are illustrated or even introduced by examples.
(7332 views)

Electronic Transport in Metallic Systems and Generalized Kinetic Equations
by A.L. Kuzemsky - arXiv , 2011
This paper reviews some selected approaches to the description of transport properties in crystalline and disordered metallic systems. A detailed formulation of the electron transport processes in metallic systems within a model approach is given.
(6645 views)

Statistical Mechanifesto
by Eric L. Michelsen - UCSD , 2013
This work is aimed at graduate and advanced undergraduate physics students. It contains a better entropy discussion, the Carnot conspiracy, Boltzmann distribution, entropy, free energy, meet Mr. Mole, chemical potential, and much more...
(6994 views)

Kinetic Theory
by David Tong - University of Cambridge , 2012
This is a graduate course on topics in non-equilibrium statistical mechanics, covering kinetic theory, stochastic processes and linear response. It is aimed at masters students and PhD students. The full set of lecture notes are around 100 pages.
(9199 views)

Fluctuation-Dissipation: Response Theory in Statistical Physics
by U.M.B. Marconi, A. Puglisi, L. Rondoni, A. Vulpiani - arXiv , 2008
General aspects of the Fluctuation-Dissipation Relation (FDR), and Response Theory are considered. We illustrate the relation between the relaxation of spontaneous fluctuations, and the response to an external perturbation.
(6588 views)

Fundamentals and New Frontiers of Bose-Einstein Condensation
by Masahito Ueda - World Scientific Publishing Company , 2010
This book covers the fundamentals of and new developments in gaseous Bose Einstein condensation. It begins with a review of fundamental concepts and theorems, and introduces basic theories describing Bose-Einstein condensation (BEC)...
(8865 views)

Statistical Physics
by David Tong - University of Cambridge , 2012
This is an introductory course on Statistical Mechanics and Thermodynamics given to final year undergraduates. Topics: Fundamentals of Statistical Mechanics; Classical Gases; Quantum Gases; Classical Thermodynamics; Phase Transitions.
(11760 views)

Homogeneous Boltzmann Equation in Quantum Relativistic Kinetic Theory
by M. Escobedo, S. Mischler, M.A. Valle - American Mathematical Society , 2003
We consider some mathematical questions about Boltzmann equations for quantum particles, relativistic or non relativistic. Relevant cases such as Bose, Bose-Fermi, and photon-electron gases are studied. We also consider some simplifications ...
(7733 views)

Statistical Physics of Fracture, Friction and Earthquake
by Hikaru Kawamura, et al. - arXiv , 2011
We review our research regarding the dynamics and the statistical properties of earthquakes, mainly from a statistical physical viewpoint. Emphasis is put both on the physics of friction and fracture, and on the statistical physical modelling.
(9412 views)

Non-equilibrium Statistical Mechanics
by T. Chou, K. Mallick, R. K. P. Zia - arXiv , 2011
We review some of the many recent activities on non-equilibrium statistical mechanics, focusing on general aspects. Using the language of stochastic Markov processes, we emphasize general properties of the evolution of configurational probabilities.
(7671 views)

Statistical Mechanics and the Physics of the Many-Particle Model Systems
by A. L. Kuzemsky - arXiv , 2011
The development of methods of quantum statistical mechanics is considered in light of their applications to quantum solid-state theory. We discuss fundamental problems of the physics of magnetic materials and methods of quantum theory of magnetism.
(10485 views)

Statistical Mechanics Notes
by Jed Rembold - New Mexico Tech , 2011
From the table of contents: Fundamental Principles of Statistical Physics; Selected Applications (Classical Systems, Ideal Fermi Gas, Ideal Bose Gas, Black Body Radiation, Relativistic Degenerate Electron Gas); Introduction to Kinetic Theory.
(8980 views)

Lecture Notes in Statistical Mechanics and Mesoscopics
by Doron Cohen - arXiv , 2011
These are notes for quantum and statistical mechanics courses. Topics covered: master equations; non-equilibrium processes; fluctuation theorems; linear response theory; adiabatic transport; the Kubo formalism; scattering approach to mesoscopics.
(7665 views)

A Basic Introduction to Large Deviations: Theory, Applications, Simulations
by Hugo Touchette - arXiv , 2011
The theory of large deviations deals with the probabilities of rare events that are exponentially small as a function of some parameter, e.g., the number of random components of a system or the time over which a stochastic system is observed.
(7964 views)

Non-Equilibrium Processes
by Sidney Redner - Boston University , 2007
The author illustrates non-equilibrium statistical physics by presenting a number of current and paradigmatic examples of systems that are out of equilibrium, and elucidates the range of techniques available to solve these systems.
(8170 views)

Statistical Physics
by Manfred Sigrist - ETH Zurich , 2014
From the table of contents: Laws of Thermodynamics; Kinetic approach and Boltzmann transport theory; Classical statistical mechanics; Quantum Statistical Physics; Phase transitions; Linear Response Theory; Renormalization group; etc.
(11328 views)

Basics of Bose-Einstein Condensation
by V.I. Yukalov - arXiv , 2011
The review is devoted to the elucidation of the basic problems arising in the theoretical investigation of systems with Bose-Einstein condensate. Understanding these problems is necessary for the correct description of Bose-condensed systems.
(8689 views)

Statistical Physics II
by Eric Poisson - University of Guelph , 2009
From the table of contents: Review of thermodynamics; Statistical mechanics of isolated systems; Statistical mechanics of interacting systems; Information theory; Paramagnetism; Quantum statistics of ideal gases; Black-body radiation.
(9722 views)

Statistical Physics I
by Eric Poisson - University of Guelph , 2000
From the table of contents: Thermodynamic systems and the zeroth law; Transformations and the first law; Heat engines and the second law; Entropy and the third law; Thermodynamic potentials; Thermodynamics of magnetic systems.
(10321 views)

Introduction to Statistical Physics
by Eric Bertin - ENS Lyon , 2010
This introductory text was aimed at giving a basic knowledge of the concepts and methods of statistical physics to the readers, so that they could later on follow more advanced lectures on diverse topics in the field of complex systems.
(11245 views)

Lectures on Noise Sensitivity and Percolation
by Christophe Garban, Jeffrey E. Steif - arXiv , 2011
The goal of this set of lectures is to combine two seemingly unrelated topics: (1) The study of Boolean functions, a field particularly active in computer science; (2) Some models in statistical physics, mostly percolation.
(11340 views)

Statistical Field Theory
by H.T.C. Stoof - Utrecht University , 2002
We give a self-contained introduction to the quantum field theory for many-particle systems, using functional methods throughout. We focus in general on the behavior of so-called quantum liquids, i.e., quantum gases and liquids.
(8383 views)

Statistical Field Theory
by R R Horgan - University of Cambridge , 2010
These notes are concerned with the physics of phase transitions: the phenomenon that in particular environments, many systems exhibit singularities in the thermodynamic variables which best describe the macroscopic state of the system.
(8961 views)

Fundamental Kinetic Processes
by E. Ben-Naim, P. L. Krapivsky, S. Redner - Boston University , 2008
The authors discuss the development of basic kinetic approaches to more complex and contemporary systems. Among the large menu of stochastic and irreversible processes, we chose the ones that we consider to be among the most instructive.
(10905 views)

Statistical Physics
by Franz J. Vesely - University of Vienna , 2005
This web tutorial was devised as a tool for teaching Statistical Physics to second year students. Topics covered: Why is water wet? Elements of Kinetic Theory; Phase space; Statistical Thermodynamics; Statistical Quantum Mechanics.
(9480 views)

Bosonization of Interacting Fermions in Arbitrary Dimensions
by Peter Kopietz - arXiv , 2006
In this book we describe a new non-perturbative approach to the fermionic many-body problem, which can be considered as a generalization to arbitrary dimensions of the well-known bosonization technique for one-dimensional fermions.
(8300 views)

Evolution of Networks
by S.N. Dorogovtsev, J.F.F. Mendes - arXiv , 2001
The authors review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics.
(8479 views)

Introduction to the Field Theory of Classical and Quantum Phase Transitions
by Flavio S. Nogueira - arXiv , 2010
These notes provide a self-contained introduction to field theoretic methods employed in the study of classical and quantum phase transitions. Classical phase transitions occur at a regime where quantum fluctuations do not play an important role.
(8364 views)

Time-related Issues in Statistical Mechanics
by L. S. Schulman - Clarkson University , 2008
Topics covered: The description of apparent of irreversibility; Physical origins of the arrow(s) of time; Two-time boundary value problems; The micro / macro distinction and coarse graining; Quantum mechanics with special states.
(10638 views)

Thermodynamics and Statistical Physics
by Hans Kroha - University of Bonn , 2005
Contents: Introduction and overview; Thermodynamics; Foundations of statistical physics; Ideal systems: some examples; Systems of identical particles; General formulation of statistical mechanics; Interacting systems in thermodyn. equilibrium.
(14358 views)

Statistical Mechanics
by Daniel F. Styer - Oberlin College , 2007
This is a book about statistical mechanics at the advanced undergraduate level. It assumes a background in classical mechanics through the concept of phase space, in quantum mechanics through the Pauli exclusion principle, and multivariate calculus.
(10962 views)

An Introduction to Monte Carlo Simulations in Statistical Physics
by K. P. N. Murthy - arXiv , 2003
A brief introduction to the technique of Monte Carlo simulations in statistical physics. The topics covered include statistical ensembles random and pseudo random numbers, random sampling techniques, importance sampling, Markov chain, etc.
(11246 views)

Introduction to the theory of stochastic processes and Brownian motion problems
by J. L. Garcia-Palacios - arXiv , 2007
Contents: Stochastic variables; Stochastic processes and Markov processes; The master equation; The Langevin equation; Linear response theory, dynamical susceptibilities, and relaxation times; Langevin and Fokker–Planck equations; etc.
(8552 views)

Information Theory and Statistical Physics
by Neri Merhav - arXiv , 2010
Lecture notes for a graduate course focusing on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information Theory, or graduate students in Physics.
(11867 views)

Introduction to Nonequilibrium Statistical Mechanics with Quantum Field
by Takafumi Kita - arXiv , 2010
The author presents a concise and self-contained introduction to nonequilibrium statistical mechanics with quantum field theory. Readers are assumed to be familiar with the Matsubara formalism of equilibrium statistical mechanics.
(9493 views)

Pure State Quantum Statistical Mechanics
by Christian Gogolin - arXiv , 2010
A new approach towards the foundations of Statistical Mechanics is explored. The approach is genuine quantum in the sense that statistical behavior is a consequence of objective quantum uncertainties due to entanglement and uncertainty relations.
(9098 views)

Statistical Physics
by Michael Cross - Caltech , 2006
The author discusses using statistical mechanics to understand real systems, rather than ideal systems that can be solved exactly. In addition dynamics and fluctuations are considered. These notes are an attempt to summarize the main points.
(10672 views)

Lecture Notes in Statistical Mechanics
by Igor Vilfan - The J. Stefan Institute , 2002
These lectures cover classical and quantum statistical mechanics with some emphasis on classical spin systems. The author gives also an introduction to Bose condensation and superfluidity but he does not discuss phenomena specific to Fermi particles.
(9357 views)

Thermal and Statistical Physics
by Harvey Gould, Jan Tobochnik - Princeton University Press , 2010
A text on two related subjects: thermodynamics and statistical mechanics. Computer simulations and numerical calculations are used in a variety of contexts. The book brings some of the recent advances in research into the undergraduate curriculum.
(17809 views)

Exactly Solved Models in Statistical Mechanics
by R. J. Baxter - Academic Press , 1982
This text explores the solution of two-dimensional lattice models. Topics include basic statistical mechanics, Ising models, mean field model, spherical model, ice-type models, corner transfer matrices, hard hexagonal models, and elliptic functions.
(11569 views)

The basic paradoxes of statistical classical physics and quantum mechanics
by Oleg Kupervasser - arXiv , 2009
Statistical classical mechanics and quantum mechanics are two developed theories that contain a number of paradoxes. However the given paradoxes can be resolved within the framework of the existing physics, without introduction of new laws.
(13519 views)

Statistical Physics
by Yuri Galperin, Jens Feder - University of Oslo , 2008
Statistical physics is a highly active part of physics. Many types of nonlinear systems are beyond our present understanding and theoretical tools. The purpose of this course is to acquaint you with the central issues of statistical mechanics.
(14086 views)

Operator Algebras and Quantum Statistical Mechanics
by Ola Bratteli, Derek W. Robinson - Springer , 2003
These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.
(17493 views)

Statistical Mechanics of Nonequilibrium Liquids
by Denis J. Evans, Gary P. Morriss - ANU E Press , 2007
The book charts the development and theoretical analysis of molecular dynamics as applied to equilibrium and non-equilibrium systems. It connects molecular dynamics simulation with the mathematical theory to understand non-equilibrium steady states.
(11540 views)

Thermodynamics and Statistical Mechanics: An intermediate level course
by Richard Fitzpatrick - Lulu.com , 2007
Set of lecture notes for an upper-division thermodynamics and statistical mechanics course. Covered topics are classical thermodynamics, the thermodynamics of the atmosphere, heat engines, specific heat capacities of gases and solids, etc.
(19282 views)