The Collective Coordinates Jacobian
Statistical Mechanics
2009-11-07 v1
Abstract
We develop an expansion for the Jacobian of the transformation from particle coordinates to collective coordinates. As a demonstration, we use the lowest order of the expansion in conjunction with a variational principle to obtain the Percus Yevick equation for a monodisperse hard sphere system and the Lebowitz equations for a polydisperse hard sphere system.
Cite
@article{arxiv.cond-mat/0110579,
title = {The Collective Coordinates Jacobian},
author = {Moshe Schwartz and Guy Vinograd},
journal= {arXiv preprint arXiv:cond-mat/0110579},
year = {2009}
}
Comments
7 pages