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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.
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 ...
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.
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.
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...
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.
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.
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...
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.
Fluctuation-Dissipation: Response Theory in Statistical Physics
by U.M.B. Marconi, A. Puglisi, L. Rondoni, A. Vulpiani , 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.
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)...
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.
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 ...
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.
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.
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.
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.
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.
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.
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.
by Manfred Sigrist - ETH Zurich , 2010
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Statistical Mechanics: Entropy, Order Parameters and Complexity
by James P. Sethna - Oxford University Press , 2009
This text is addresses the interests not only of physicists, but of students and researchers in mathematics, biology, engineering, computer science, and the social sciences. The text treats the intersection of the interests of all of these groups.
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.
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.
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.
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.
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.
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.
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.