This note describes the following topics: Basic Statistical Notions, Time-evolving ensembles, Equilibrium Ensembles, The Ideal Quantum Gas, The Laws of Thermodynamics, Dynamical Systems and Approach to Equilibrium.
Author(s): Prof. Dr. S. Hollands
This note explains the following topics: Distribution Law, Indistinguishable Particles, Statistical Mechanics and Thermodynamic Laws, Applications of Maxwell-Boltzmann Statistics, Paramagnetic Systems, Applications of Fermi-Dirac Statistics, Applications of Bose-Einstein Statistics, The Classical Limit, Kinetic Theory of Gases.
Author(s): Dr Alfred Huan
Statistical mechanics provides a theoretical bridge that takes you from the micro world to the macro world. Topics covered includes: Micro-Macro Synthesis, Maxwell’s Mischief, Binomial, Poisson, and Gaussian, Isolated System: Micro canonical Ensemble, Closed System, Open System, Quantum Statistics, Bose-Einstein Condensation, Statistical Mechanics of Harmonic Oscillators.
Author(s): K.P.N. Murthy
This lecture note covers the following topics: Thermal Equilibrium, Systems with interactions , Fluctuations and Response, System interacting with a bath, introduction to master equations, non-equilibrium processes, fluctuation theorems, linear response theory, adiabatic transport, Kubo formalism and the scattering approach to mesoscopics.
Author(s): Doron Cohen
This book covers the following topics: The canonical ensemble, Variable number of particles, Statistics of independent particles, Fermions and Bosons, Density matrix formalism, Classical statistical mechanics, Mean Field Theory, General methods: critical exponent.
Author(s): Henri J.F. Jansen
This note describes the following topics: Thermodynamics, Summary of probability theory, Equilibrium statistical mechanics, Ideal gases, Interacting systems and phase transitions, Density matrix and áuctuation dissipation theorem, Brownian motion and stochastic dynamics, Boltzmann transport equation.
Author(s): Jorg Schmalian
This book explains the following topics: General Notions, The Principle Of Conservation Of Extension-in-phase, Thermodynamic Analogies, Application Of the Principle Of Conservation Of Extension-in-phase To The Theory Of Errors, Average Values in A Canonical Ensemble Of Systems, Extension-in-configuration and Extension-in-velocity.
Author(s): J. Willard Gibbs
This note presume a familiarity with basic undergraduate concepts in statistical mechanics, and with some basic concepts from first-year graduate quantum, such as harmonic oscillators and raising and lowering operators. Topics covered includes: Fundamentals of Statistical Physics, Statistical Mechanics of Non-Interacting Particles, Interacting Gases and the Liquid-Gas Phase Transition, Dynamics of Liquids and Gases, Lattices and Spins, Microscopic Models for Interacting Gases, Landau Field Theory.
Author(s): Scott Pratt
The course note on Advanced Statistical Mechanics: Phase transitions and critical phenomena is about different phases of matter and its study using statistical mechanics. In this course note phenomenology of phase transitions of different order will be elaborated, statistical thermodynamics of these systems will be established, different models will be constructed to study the phenomena, analytical and numerical techniques will be discussed for solving these models.
Author(s): Dr. Sitangshu Bikas Santra
This book is written by Giovanni Gallavotti and a clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.
Author(s): Giovanni Gallavotti
This book covers the following topics: The Fundamental Postulate of Statistical Mechanics, The Four Concepts of Statistical Mechanics, Classical Statistical Mechanics, Helmholtz Free Energy, The Ensembles, Microscopic Distributions and Quantum Statistics, Thermodynamics, Etcetera.
Author(s): Eric L. Michelsen
This book focuses on some of the fundamental issues and general aspects related to non-equilibrium statistical mechanics.
Author(s): T. Chou, K. Mallick, R. K. P. Zia
This is an introductory course on Statistical Mechanics and Thermodynamics given to final year undergraduates. They were last updated in May 2012. Full lecture notes come in around 190 pages. Individual chapters and problem sets can also be found below. This lecture note covers the following: Fundamentals of Statistical Mechanics, Classical Gases, Quantum Gases, Classical Thermodynamics, Phase Transitions. The lecture notes can be downloaded in both PDF and PS formats
Author(s): David Tong, Cambridge University
In this lecture note, basic principles of Statistical Mechanics are examined. Topics covered includes: Thermodynamics, probability theory, kinetic theory, classical statistical mechanics, interacting systems, quantum statistical mechanics, and identical particles.
Author(s): Prof. Mehran Kardar
This book covers the followig topics: Boltzmann's hypothesis, Phase Space, Ensemble and Liouville's Theorem, Classical Counting and Quantum mechanical counting.
Author(s): Tobias Hofbaur
This note covers the following topics:The Canonical Ensemble , Extensive and intensive variables, The example of a perfect gas, Thermodynamics, The Grand Canonical Ensemble, The Degenerate Fermi Gas, Reminder of Classical Mechanics and Classical Statistical Physics.
Author(s): Prof. R.R. Horgan
This lecture note covers classical and quantum statistical mechanics, however, some emphasis is put on classical spin systems. It also provides an introduction to Bose condensation and superfluidity.
Author(s): I. Vilfan, The Abdus Salam ICTP, Trieste and J. Stefan Institute, Ljubljana
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