Statistical Mechanics:
Entropy, Order Parameters, and Complexity
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James Sethna
 Random Walks and Emergent Properties
 Selfsimilarity and fractals
 Temperature and Equilibrium
 Entropy
 Does Entropy Increase?
 Shannon Entropy, Entropy of Glasses
 Life, Heat Death of the Universe, & Black Holes
 Free Energies and Ensembles
 Quantum Statistical Mechanics
 Bosons: Bose Condensation and Superfluids
 Fermions: Metals, White Dwarves, Neutron Stars
 Computational Stat Mech:
Ising and Markov
 Monte Carlo, Metropolis,
Wolff
 Stochastic Chemistry: Cells and Gillespie
 Networks and Percolation

Order Parameters, Broken Symmetry, and Topology
 Homotopy Theory and Topological Defects
 Excitations and Goldstone's Theorem
 Dislocations, Disclinations, and Vortices
 Deriving New Laws
 What is a Phase?
 Symmetry and Analyticity: Landau
 Correlations, Response, and Dissipation
 FluctuationDissipation
 Causality and Kramers Krönig
 Abrupt Phase Transitions

Continuous Phase Transitions
 Universality and the Renormalization Group
 Scale Invariance and Fractals
 Percolation, Bifurcation Theory, Routes to Chaos
Last modified: March 21, 2006
