Course: Stochastic Dynamics in Statistical Physics by Andrea Gambassi

Main topics

• 1. 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
• 2. 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)
• 3. 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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