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Finite volume corrections and decay of correlations in the canonical ensemble
journal contributionposted on 2023-06-08, 21:47 authored by Elena Pulvirenti, Dimitrios Tsagkarogiannis
We consider a classical system of N particles confined in a box ??Rd interacting via a finite range pair potential. Given the validity of the cluster expansion in the canonical ensemble we compute the error between the finite and the infinite volume free energy and estimate it to be bounded by the area of the surface of the box’s boundary over its volume. We also compute the truncated two-point correlation function and find that the contribution from the ideal gas case is of the order 1/|?| plus an exponentially small error with the distance.
JournalJournal of Statistical Physics
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- Mathematics Publications
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