3 research outputs found
Continuity and anomalous fluctuations in random walks in dynamic random environments: numerics, phase diagrams and conjectures
We perform simulations for one dimensional continuous-time random walks in
two dynamic random environments with fast (independent spin-flips) and slow
(simple symmetric exclusion) decay of space-time correlations, respectively. We
focus on the asymptotic speeds and the scaling limits of such random walks. We
observe different behaviors depending on the dynamics of the underlying random
environment and the ratio between the jump rate of the random walk and the one
of the environment. We compare our data with well known results for static
random environment. We observe that the non-diffusive regime known so far only
for the static case can occur in the dynamic setup too. Such anomalous
fluctuations give rise to a new phase diagram. Further we discuss possible
consequences for more general static and dynamic random environments.Comment: 33 pages, 23 figure