Approximative "one particle" bridge function B(1)(r) for the theory of simple fluids.
New properties for the one particle bridge function B(1)(r), which are necessary to the calculation of the excess chemical potential betamue), are derived for the hard sphere fluid. The method, which only requires the knowledge of the bridge function B(2)(r), is based on an investigation of the correlation function dependence on the Kirkwood charging parameter. In this framework, the unavoidable question of topological homotopy is addressed. As far as B(2)(r) is considered as exact, this work provides useful information on B(1)(r) in the well identified dynamical regimes of the hard sphere fluid. Signatures of the transitions between these regimes are identified on the trends of B(1)(r). This approach provides self-consistent results for betamue) that agree very well with simulation data.
Bomont
Jean-Marc
JM
Laboratoire de Physique des Milieux Denses, Université Paul Verlaine, 1, Boulevard F. D. Arago, 57078 Metz Cedex 3, France. bomont@univ-metz.fr
Bretonnet
Jean-Louis
JL