Abstract
We consider a reversible jump process on ℤd whose jump rates themselves are random. We show mean square convergence of this process under diffusion scaling to a limiting Brownian motion with a certain diffusion matrix, characterizing effective conductivity.
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Communicated by J. L. Lebowitz
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Künnemann, R. The diffusion limit for reversible jump processes onZ d with ergodic random bond conductivities. Commun.Math. Phys. 90, 27–68 (1983). https://doi.org/10.1007/BF01209386
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DOI: https://doi.org/10.1007/BF01209386