Speaker
Description
The renormalization-group approach is used to investigate the possible IR behavior of a randomly walking particle in a random dynamic environment. The particle movement is modeled by the stochastic Fokker -- Planck equation. The dynamics of the environment are described by a random drift field $F_j$ with a pair correlator, which implies two limiting cases -- a "rapidly-changing" and time-independent ("frozen") drift field respectively. The stochastic problem is reformulated in terms of quantum field theory with a given action functional. The ultraviolet divergences are eliminated multiplicatively. The renormalization group equation has five attractors in the form of two-dimensional fixed points in the parameter space. Three of them are associated with the super-diffusion and sub-diffusion scaling regimes, when the normal propagation law for a particle cloud $R(t)\simeq t$ is violated.
