Topics in Nonequilibrium Statistical Mechanics

Lectures by Martin Howard and Kent Baekgaard Lauritsen
Thursdays 13:15 - 15:00 in Kc7
Course start: February 5, 1998.

  1. Introduction
  2. Random walk:
    Langevin equation, Fokker-Planck equation, Fluctuation dissipation theorem, Master equation, Detailed balance
  3. Interfaces:
    Scaling, Symmetries, Noise, Edwards-Wilkinson equation, Kardar-Parisi-Zhang (KPZ) equation, Renormalization group (RG) analysis, Burgers equation, Driven diffusive systems (DDS), Directed Polymers, Noisy Kuramoto-Sivashinsky equation, Master equation, Pinning/depinning transitions, Quenched noise
  4. Directed percolation (DP): Models, Langevin description, Absorbing state, Multiplicative noise, Nonequilibrium phase transition, Critical exponents, Reggeon field theory, Renormalization group results, Reaction diffusion systems, Master equation, Branching and annihilating random walks, Surface critical behaviour
  5. Phase ordering, Conserved and nonconserved order parameters, Persistence exponents
  6. Self-organized criticality (SOC): Sandpile models, Avalanches, Critical exponents, Mean-field theory, Self-organized branching processes, Order parameter, External drive, Field-theoretic approach
  7. Advanced topics: Martin-Siggia-Rose field-theory formalism RG: calculation of fixed points and exponents

Exam: Take home exam(s)
Points: 2 or 4