Biased random walk among random conductances
- Nina Gantert (TU München)
Abstract
We consider the effective diffusivity (i.e. the covariance matrix in the central limit theorem) of a random walk among random conductances. It is interesting and non-trivial to describe this diffusivity in terms of the law of the conductances. The Einstein relation gives a different interpretation of the effective diffusivity as mobility. The mobility measures the response of the diffusing particle to a constant exterior force: Consider the perturbed process obtained by imposing a constant drift of strength
The talk is based on joint work with Jan Nagel and Xiaoqin Guo.