Is there Ornstein-Zernike equation in the canonical ensemble?
Statistical Mechanics
2009-10-31 v1
Abstract
A general density-functional formalism using an extended variable-space is presented for classical fluids in the canonical ensemble (CE). An exact equation is derived that plays the role of the Ornstein-Zernike (OZ) equation in the grand canonical ensemble (GCE). When applied to the ideal gas we obtain the exact result for the total correlation function h_N. For a homogeneous fluid with N particles the new equation only differs from OZ by 1/N and it allows to obtain an approximate expression for h_N in terms of its GCE counterpart that agrees with the expansion of h_N in powers of 1/N.
Keywords
Cite
@article{arxiv.cond-mat/0009113,
title = {Is there Ornstein-Zernike equation in the canonical ensemble?},
author = {J. A. White and S. Velasco},
journal= {arXiv preprint arXiv:cond-mat/0009113},
year = {2009}
}
Comments
5 pages, RevTeX. Submitted to Phys. Rev. Lett