TY - JOUR

T1 - Generalized Ornstein-Zernike approach to many-particle equilibrium correlation functions

AU - BŁawzdziewicz, J.

AU - Cichocki, B.

AU - Hołyst, R.

N1 - Funding Information:
We are very grateful to Professor G. Stell and Dr. G. Williams for many valuabled iscussionsa nd a careful readingo f the manuscript.W e would like to thank C. Kneifel for preparingf igures.O ne of us (J.B.) wishest o acknowledge the support by the National Science Foundation and (B.C.) thanks the DeutscheF orschungsgemeinschaffotr financial support.

PY - 1989/6/1

Y1 - 1989/6/1

N2 - A new generalization of the Ornstein-Zernike equation for the functions describing equilibrium correlations between two groups of particles is proposed. The generalized direct correlation functions for two groups of particles are introduced, and the integral equations relating these functions to "full" correlations are derived. The derivation is based on diagrammatic analysis of the correlation functions. As an analogue of a cutting (nodal) vertex in the standard analysis leading to the Ornstein-Zernike equation we consider now a cutting set of vertices. Possible applications of the proposed formalism to the actual calculation of three- and four-particle equilibrium correlation functions are indicated.

AB - A new generalization of the Ornstein-Zernike equation for the functions describing equilibrium correlations between two groups of particles is proposed. The generalized direct correlation functions for two groups of particles are introduced, and the integral equations relating these functions to "full" correlations are derived. The derivation is based on diagrammatic analysis of the correlation functions. As an analogue of a cutting (nodal) vertex in the standard analysis leading to the Ornstein-Zernike equation we consider now a cutting set of vertices. Possible applications of the proposed formalism to the actual calculation of three- and four-particle equilibrium correlation functions are indicated.

UR - http://www.scopus.com/inward/record.url?scp=45349110633&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(89)90070-8

DO - 10.1016/0378-4371(89)90070-8

M3 - Article

AN - SCOPUS:45349110633

SN - 0378-4371

VL - 157

SP - 857

EP - 890

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 2

ER -