TY - JOUR

T1 - Solution of the Percus-Yevick equation for the Widom-Rowlinson model

AU - Ahn, S.

AU - Lebowitz, J. L.

PY - 1973/7/16

Y1 - 1973/7/16

N2 - The Percus-Yevick equation for the Widom-Rowlinson model is solved exactly in one and three dimensions. In one dimension the direct correlation function is obtained explicitely. In three dimensions only the thermodynamic properties have been obtained so far implicitely in terms of elliptic integrals, and there is a maximum density beyond which the P.Y. equation has no solution and that before that density is 'critical density' at which the homogenous state becomes unstable.

AB - The Percus-Yevick equation for the Widom-Rowlinson model is solved exactly in one and three dimensions. In one dimension the direct correlation function is obtained explicitely. In three dimensions only the thermodynamic properties have been obtained so far implicitely in terms of elliptic integrals, and there is a maximum density beyond which the P.Y. equation has no solution and that before that density is 'critical density' at which the homogenous state becomes unstable.

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U2 - 10.1016/0375-9601(73)90853-0

DO - 10.1016/0375-9601(73)90853-0

M3 - Article

AN - SCOPUS:0011458757

VL - 44

SP - 424

EP - 426

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 6

ER -