Symmetric simple exclusion process: Regularity of the self-diffusion coefficient. (English) Zbl 0994.60093

Summary: We prove that the self-diffusion coefficient of a tagged particle in the symmetric exclusion process in \(Z^d\), which is in equilibrium at density \(\alpha\), is of class \(C^\infty\) as a function of \(\alpha\) in the closed interval \([0,1]\). The proof provides also a recursive method to compute the Taylor expansion at the boundaries.


60K35 Interacting random processes; statistical mechanics type models; percolation theory
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