For β>1, the symmetric exclusion process with k slow bonds of strength n^{-β}, sped up by k^2 n^{1+β}, converges to the discrete heat equation when k is fixed and to the continuous heat equation on the torus when k→∞.
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Superdiffusive Scaling Limits for the Symmetric Exclusion Process with Slow Bonds
For β>1, the symmetric exclusion process with k slow bonds of strength n^{-β}, sped up by k^2 n^{1+β}, converges to the discrete heat equation when k is fixed and to the continuous heat equation on the torus when k→∞.