Study notes for Statistical Physics A concise, unified overview of the subject - Info and Reading Options

"Study notes for Statistical Physics A concise, unified overview of the subject" Table Of Contents:

• 1- Introduction
• 2- The isolated assembly
• 3- Method of the most probable distribution
• 4- Ensemble of assemblies: relationship between Gibbs and Boltzmann entropies
• 5- Stationary ensembles
• 6- Types of ensemble
• 7- Variational method for the most probable distribution
• 8- Canonical ensemble
• 9- Compression of a perfect gas
• 10- The Grand Canonical Ensemble (GCE)
• 11- Examples of stationary ensembles
• 12- Assembly of distinguishable particles
• 13- Assembly of nonconserved, indistinguishable particles
• 14- Conserved particles: general treatment for Bose-Einstein and Fermi-Dirac statistics
• 15- The Classical Limit: Boltzmann Statistics
• 16- The bedrock problem: strong interactions
• 17- The interaction Hamiltonian
• 18- Diagonal forms of the Hamiltonian
• 19- Theory of specific heats of solids
• 20- Quasi-particles and renormalization
• 21- Perturbation theory for low densities
• 22- The Debye-Hückel theory of the electron gas
• 23- Phase transitions
• 24- Critical exponents
• 25- The ferro-paramagnetic transition
• 26- The Weiss theory of ferromagnetism
• 27- Macroscopic mean field theory: the Landau model for phase transitions
• 28- Theoretical models
• 29- The Ising model
• 30- Mean-field theory with a variational principle
• 31- Mean-field critical exponents for the Ising model
• 32- Classical treatment of the Hamiltonian N-body assembly
• 33- Hamilton’s equations and phase space
• 34- Hamilton’s equations and 6N-dimensional phase space
• 35- Liouville’s theorem for N particles in a box
• 36- Probability density as a fluid
• 37- Liouville’s equation: operator formalism
• 38- The generalised H-theorem (due to Gibbs)
• 39- Reduced probability distributions
• 40- Basic cells in Γ space
• 41- Derivation of transport equations
• 42- BBGKY hierarchy (Born, Bogoliubov, Green, Kirkwood, Yvon)
• 43- Equations for the reduced distribution functions
• 44- The kinetic equation
• 45- The Boltzmann equation
• 46- The Boltzmann H-theorem
• 47- Macroscopic balance equations
• 48- Dynamics of Fluctuations
• 49- Brownian motion and the Langevin equation
• 50- Fluctuation-dissipation relations
• 51- The response (or Green) function
• 52- General derivation of the fluctuation-dissipation theorem
• 53- Quantum dynamics
• 54- Fermi’s master equation
• 55- Applications of the master equation
• 56- Consequences of time-reversal symmetry
• 57- Detailed balance
• 58- Dynamics of fluctuations
• 59- Onsager’s theorem

Read “Study notes for Statistical Physics A concise, unified overview of the subject”:

Read “Study notes for Statistical Physics A concise, unified overview of the subject” by choosing from the options below.