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Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder. (English) Zbl 1014.60094
Summary: Consider uniformly elliptic random walk on \(\mathbb{Z}^d\) with independent jump rates across nearest neighbour bonds of the lattice. We show that the infinite volume effective diffusion matrix can be almost surely recovered as the limit of finite volume periodized effective diffusion matrices.

MSC:
60K37 Processes in random environments
60K35 Interacting random processes; statistical mechanics type models; percolation theory
74Q20 Bounds on effective properties in solid mechanics
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