Entropy, Order Parameters, and Complexity Graduate Statistical Mechanics 562, Spring 2006 MWF, 10:10-11:00, Rockefeller 115 Jim Sethna sethna@lassp.cornell.edu Clark 528 5-5132, office hours M 3-4 Bruno Rousseau, TA, 5-6061, br75, 605 Clark, John Gregoire, Grader, jmg232, B11 Rock, 4-4521 Random Walks and Emergent Properties Self-similarity and fractals Temperature and Equilibrium Invariant Measures; Ergodicity Jupiter! and the KAM theorem Entropy Does Entropy Increase? Shannon Entropy, Entropy of Glasses Life, Heat Death of the Universe, & Black Holes Free Energies and Ensembles Canonical, Grand Canonical, and Gibbs Arrhenius laws and barrier crossing 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 Fluctuation-Dissipation Causality and Kramers Krönig Abrupt Phase Transitions Nucleation theory: Complex Free Energies Coarsening; Dendrites and Snowflakes; Martensites Continuous Phase Transitions Universality and the Renormalization Group Scale Invariance and Fractals Percolation, Bifurcation Theory, Routes to Chaos Math, Computer Science, Biology, Complexity, Engineering People Welcome Statistical Mechanics: Entropy, Order Parameters, and Complexity Available in April at Oxford University Press, Amazon.com, and Barnes and Noble. Homework Assignments and Computer Hints Course description Texts Due dates, exams, grades. Computer exercise hints, software Jacob Alldredge's This Is Stat Mech, and This Is Not Stat Mech. Last modified: November 26, 2005

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).