The collective coordinates Jacobian

Moshe Schwartz and Guy Vinograd

Physica A: Statistical Mechanics and its Applications, 2002, vol. 308, issue 1, 227-232

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:308:y:2002:i:1:p:227-232

DOI: 10.1016/S0378-4371(02)00557-5

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