## e-books in Statistical Physics category

**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.

(

**655**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.

(

**4044**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.

(

**5524**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 ...

(

**3880**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.

(

**9402**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.

(

**4355**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.

(

**5886**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.

(

**4826**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.

(

**8478**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.

(

**5939**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.

(

**6031**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 ...

(

**5488**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.

(

**5381**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.

(

**7016**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...

(

**5954**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.

(

**5862**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.

(

**5438**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...

(

**6051**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.

(

**7535**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.

(

**5359**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)...

(

**7598**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.

(

**10526**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 ...

(

**6764**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.

(

**8318**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.

(

**6760**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.

(

**9164**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.

(

**7998**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.

(

**6759**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.

(

**7001**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.

(

**6801**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.

(

**9451**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.

(

**7722**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.

(

**8485**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.

(

**9287**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.

(

**10110**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.

(

**9946**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.

(

**7287**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.

(

**7524**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.

(

**9616**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.

(

**8242**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.

(

**6911**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.

(

**7564**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.

(

**7307**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.

(

**9470**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.

(

**13058**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.

(

**9301**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.

(

**10009**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.

(

**7591**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.

(

**10572**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.

(

**7962**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.

(

**7474**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.

(

**9117**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.

(

**8371**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.

(

**15340**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.

(

**9923**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.

(

**12426**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.

(

**12898**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.

(

**15978**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.

(

**9983**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.

(

**18035**views)