We consider a classical system of N particles confined in a box (Formula Presented.) 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 (Formula Presented.) plus an exponentially small error with the distance.

Finite Volume Corrections and Decay of Correlations in the Canonical Ensemble

PULVIRENTI, ELENA;Tsagkarogiannis, Dimitrios
2015

Abstract

We consider a classical system of N particles confined in a box (Formula Presented.) 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 (Formula Presented.) plus an exponentially small error with the distance.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/121794
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