mechanics provides a theoretical bridge that takes you from the micro world to
the macro world. Topics covered includes: Micro-Macro Synthesis, Maxwellís
Mischief, Binomial, Poisson, and Gaussian, Isolated System: Micro canonical
Ensemble, Closed System, Open System, Quantum Statistics, Bose-Einstein
Condensation, Statistical Mechanics of Harmonic Oscillators.
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.
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:
This note describes the
following topics: Thermodynamics, Summary of probability theory,
Equilibrium statistical mechanics, Ideal gases, Interacting systems and phase
transitions, Density matrix and Šuctuation dissipation theorem, Brownian motion
and stochastic dynamics, Boltzmann transport equation.
This note explains the following topics:
Review of thermodynamics, Statistical mechanics of isolated systems, Information
theory, Paramagnetism, Quantum statistics of ideal gases, Black-body radiation.
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
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.
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.
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
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,
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
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.
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.