Statistical and Biological Physics
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Summer term 2025

Nonequilibrium Field Theories and Stochastic Dynamics

Homework sheets

      • Sheet 0: Binomial Sampling Process (Genetic Drift), Random numbers
      • Sheet 1: One-dimensional Random Walker, One-dimensional Random Walker: Numerics, Cyclic m-step process
      • Sheet 2: The Luria-Delbrück Experiment, Linear Birth-Death Process
      • Sheet 3: Poisson Process on a Ring, Markov processes with infinite state spaces
      • Sheet 4: Brownian particle in a gravitational field, Bistability in an autocatalytic reaction, First passage times
      • Sheet 5: Poisson process on a ring: continuous limit, Fokker–Planck Dynamics for Motility-Induced Phase Separation, Dynamic instability of microtubules
      • Sheet 6: Path integrals and the saddlepoint approximation, Inertial effects for heterogeneous diffusion, Stochastic stock market
      • Sheet 7: Onsager relations and time-irreversibility, Onsager relations for model A and B
      • Sheet 8: Confined semiflexible polymer chain, Dynamics of phase boundaries
      • Sheet 9: State dependent Onsager matrices - Model A, State dependent Onsager matrices - Model B, Path Integral Formulation of Model C
      • Sheet 10: Binodal Construction in Model B, Brownian dynamics of two coupled particles at different temperatures, Linear Stability of the Keller–Segel Model
      • Sheet 11: Pattern Formation in Fluids with Active Stress, Field Theory for Population Dynamics

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