A reformulation of simple liquids theory - Renormalization by one-, two-, and three-particle densities

Journal of Mathematical Physics

Volumn 39, Issue 4, 1998, Pages 2077-2102

  Okumura, Ko ^a  

^a INSTITUTE FOR MOLECULAR SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032371991     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532277     Document Type: Article

References (39)

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35. If we consider the system without the three-body force, w(r,r′,r″) here is artificial. We can still extract new information, which otherwise could not be obtained, by setting w(r,r′,r″)=0 at the end (as mentioned before).
36. (1)(r), (B8) which is obtained by taking the expectation of Eq. (2.4).
37. N(r,r′,r″)=0 for N=0,1,2.
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39. The right-hand side of Eq. (3.1) can be expressed by a sum of all possible diagrams built up with the four elements (black circles, 2-bonds, 3-bonds, and pseudo 2 ponds), which includes disconnected diagrams. Here, as suggested in the text, if there is a 3-bond, every pair from the triplet (connected by the 3-bond) should be connected by a pseudo 2-bond. On the other hand, due to the operation of logarithm. -βΩ does not include disconnected diagrams.