Statistical Mechanics: Entropy, Order Parameters, and Complexity
Draft second edition
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- 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
- Draft second edition
- New, unpublished exercises
- Errata, corrected in second printing (1/2007)
- Computer exercise hints, software
- Figures for exercises
- Incorporating the last 50 years into the statistical mechanics curriculum talk (ppt).
- Jacob Alldredge's This Is Stat Mech
- Chen Wang's proof that the Origami Microstructure is unfoldable in three dimensions (exercise 11.7).
- An answer key to most of the exercises is available (but only to instructors teaching the course). If you are teaching the course, email sethna@lassp.cornell.edu for the solution manual. Latex files for generating your own answer keys are also available. Please do not post answers to exercises from this textbook on the Web, or distribute them in electronic form.
Last modified: March 21, 2006
Statistical Mechanics: Entropy, Order Parameters, and Complexity