Study notes for Statistical Physics A concise, unified overview of the subject
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740308419
Table of contents: title: Introduction; title: The isolated assembly; title: Method of the most probable distribution; title: Ensemble of assemblies: relationship between Gibbs and Boltzmann entropies; title: Stationary ensembles; title: Types of ensemble; title: Variational method for the most probable distribution; title: Canonical ensemble; title: Compression of a perfect gas; title: The Grand Canonical Ensemble (GCE); title: Examples of stationary ensembles; title: Assembly of distinguishable particles; title: Assembly of nonconserved, indistinguishable particles; title: Conserved particles: general treatment for Bose-Einstein and Fermi-Dirac statistics; title: The Classical Limit: Boltzmann Statistics; title: The bedrock problem: strong interactions; title: The interaction Hamiltonian; title: Diagonal forms of the Hamiltonian; title: Theory of specific heats of solids; title: Quasi-particles and renormalization; title: Perturbation theory for low densities; title: The Debye-Hückel theory of the electron gas; title: Phase transitions; title: Critical exponents; title: The ferro-paramagnetic transition; title: The Weiss theory of ferromagnetism; title: Macroscopic mean field theory: the Landau model for phase transitions; title: Theoretical models; title: The Ising model; title: Mean-field theory with a variational principle; title: Mean-field critical exponents for the Ising model; title: Classical treatment of the Hamiltonian N-body assembly; title: Hamilton’s equations and phase space; title: Hamilton’s equations and 6N-dimensional phase space; title: Liouville’s theorem for N particles in a box; title: Probability density as a fluid; title: Liouville’s equation: operator formalism; title: The generalised H-theorem (due to Gibbs); title: Reduced probability distributions; title: Basic cells in Γ space; title: Derivation of transport equations; title: BBGKY hierarchy (Born, Bogoliubov, Green, Kirkwood, Yvon); title: Equations for the reduced distribution functions; title: The kinetic equation; title: The Boltzmann equation; title: The Boltzmann H-theorem; title: Macroscopic balance equations; title: Dynamics of Fluctuations; title: Brownian motion and the Langevin equation; title: Fluctuation-dissipation relations; title: The response (or Green) function; title: General derivation of the fluctuation-dissipation theorem; title: Quantum dynamics; title: Fermi’s master equation; title: Applications of the master equation; title: Consequences of time-reversal symmetry; title: Detailed balance; title: Dynamics of fluctuations; title: Onsager’s theorem