Finite Volume Corrections and Decay of Correlations in the Canonical Ensemble
| Autor: | Dimitrios Tsagkarogiannis, Elena Pulvirenti |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Canonical ensemble Finite volume method Correlation functions 010102 general mathematics FOS: Physical sciences Order (ring theory) Boundary (topology) Cluster expansion Finite volume corrections Statistical and Nonlinear Physics Mathematical Physics Mathematical Physics (math-ph) Lambda 01 natural sciences Ideal gas Correlation function (statistical mechanics) 0103 physical sciences 010307 mathematical physics 0101 mathematics 82B05 Mathematical physics |
| Zdroj: | Journal of Statistical Physics. 159:1017-1039 |
| ISSN: | 1572-9613 0022-4715 |
| DOI: | 10.1007/s10955-015-1207-z |
| Popis: | We consider a classical system of $N$ particles confined in a box $\Lambda\subset\mathbb{R}^d$ 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 $1/N$ while the contribution of the interactions is of the order $1/|\Lambda|$ plus an exponentially small error with the distance. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|