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Density renormalization group for classical liquids
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DOI：10.1093/ptep/pty148.png)
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We study the response of liquid to a scale transformation, which generates a change of the liquid density, and obtain a set of differential equations for correlation functions. The set of equations, which we call density renormalization group equations (DRGEs), is similar to the BBGKY hierarchy as it relates different multiple-point correlation functions. In particular, we derive DRGEs for one-particle irreducible vertex functions of liquid by performing Legendre transformations, which enables us to calculate properties of liquid at higher density in terms of correlation functions at lower density.
Keyword:
EQUATION-OF-STATE
NETTED CHAIN APPROXIMATION
STATISTICAL-MECHANICS
INTEGRAL-EQUATION
FLUIDS
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