Stochastic Dynamics in Statistical Physics

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StochDynPicture

Main Topics

Basics:

  • Chemical reactions, interacting particles, colloids, fluctating fields etc.
  • Brownian motion, Langevin and Fokker-Planck equations, examples and applications
  • Markov chains, Master Equation, equilibrium and non-equilibrium
    stationary states

Functional methods (from stochastic equations to field theory)

  • Chemical reactions with iffusion: second quantization of the Master Equation and functional representation (Doi-Peliti formalism)
  • Fluctuating fields: from the Langevin equation to the generating functional (Janssen-de Dominicis-Peliti formalism)

Applications. Critical phenomena and their dynamics

  • Scaling behaviour at critical points, equilibrium dynamics, dynamic critical exponents
  • Perturbation theory and diagrammatic expansion for the dynamics
  • Non-equilibrium dynamics: some examples

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