Statistical Mechanics

Statistical Mechanics, 3^rd edition is an indispensable tool for postgraduate students of science and engineering. Since the first edition published in 1972, Raj Pathria has provided an invaluable resource for the study of physical properties on the basis of dynamical behaviour. The book is suitable for a two semester course, offering the theoretical formalism proven to be of immense value to the field of physics. The author has based the book on principles of mathematical statistics and Hamiltonian mechanics. By providing historical insight and approaching the subject uniformly, students are able further their studies of statistical mechanics into their professional careers.

-Bose-Einstein condensation in atomic gases
-Thermodynamics of the early universe
-Computer simulations: Monte Carlo and molecular dynamics
-Correlation functions and scattering
-Fluctuation-dissipation theorem and the dynamical structure factor
-Chemical equilibrium
-Exact solution of the two-dimensional Ising model for 
finite systems
-Degenerate atomic Fermi gases
-Exact solutions of one-dimensional
fluid models
-Interactions in ultracold Bose and Fermi gases
-Brownian motion of anisotropic particles and harmonic oscillators

Historical introduction; The statistical basis of thermodynamics; Elements of the ensemble theory; The canonical ensemble; The grand canonical ensemble; Formulation of quantum statistics; The theory of simple gases; Ideal Bose systems; Ideal Fermi systems; Statistical mechanics of interacting systems: The method of cluster explansions, the method of quantized fields; Phase transitions: critically, universality and scaling, exact (or almost exact) results for the various models, the renormalization group approach; Fluctuations.