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.
This page has PDF links to the
following topics related to Statistical Physics : Introduction to
Statistical Physics, Calculus, Probability, and Combinatorics, Entropy from
Information, Laws of Thermodynamics, Free Energy and Order Parameters,
Boltzmann Distribution and Partition Function, Statistical Physics of the
Ideal Gas, Laplace’s Method and the Mean Field Ising Model, Model of
Dimerization of Single-Stranded DNA, Simulations in Statistical Physics,
Non-Equilibrium Statistical Physics.
Author(s): Dr. Mobolaji Williams,
Massachusetts Institute of Technology
This course is an
introduction to statistical physics. The aim of statistical physics is to
model systems with an extremely large number of degrees of freedom. This PDF
covers the following topics related to Statistical Physics : Introduction to
statistical physics: ’more is different’, Combinatorics and emergent laws,
Microcanonical ensemble, Canonical Ensemble, Grand canonical ensemble, Ideal
systems and entropic forces, Statistical ensembles and thermodynamics,
Systems in interaction and phase transitions, Quantum statistics.
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.
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.
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.
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.