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Physical Review A
Volumn 41, Issue 4, 1990, Pages 2059-2075
Nearest-neighbor distribution functions in many-body systems
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EID: 0000983452     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.41.2059     Document Type: Article
Times cited : (285)
References (25)
  • 10
    • 84926808521 scopus 로고    scopus 로고
    • From our definition, however, HV and HP will still only depend upon the relative nearest-neighbor distance r rather than the nearest-neighbor displacement r vec. Thus an orientational average over the angles associated with r vec is implicit here. The generalization of the methodology to include orientational effects is formally straightforward, but shall not be done in the present study.
  • 24
    • 0011465422 scopus 로고
    • In passing, we would like to make one last observation about the particle and void quantities for interpenetrating spheres in the penetrable-concentric shell model
    • (1984) J. Chem. Phys. , vol.81 , pp. 5079
    • Torquato, S.1
  • 25
    • 84926808520 scopus 로고    scopus 로고
    • 84, 6345 (1986)]. In this model each D-dimensional sphere of diameter sigma is composed of a hard core of diameter λ sigma, encompassed by a perfectly penetrable concentric shell of thickness ( 1- λ ) σ /2. The extreme limits of the impenetrability parameter λ =0 and 1 correspond to the cases of fully penetrable and totally impenetrable spheres, respectively. Given the totally impenetrable-sphere results of Sec. IV and V of this study, one can obtain the corresponding results for penetrable spheres ( λ < 1 ) by simply replacing sigma (on the right-hand sides of the relations) with λ sigma since it is only the internal hard core that has meaning for particle and void quantities.

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