The conformation of hard-sphere polymers in hard-sphere solution calculated by single-chain simulation in a many-body solvent influence functional

Journal of Chemical Physics

Volumn 106, Issue 12, 1997, Pages 5171-5180

  Grayce, Christopher J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONFORMATIONS; INTEGRAL EQUATIONS; MONOMERS; MONTE CARLO METHODS; PROBABILITY; SOLVENTS; THERMODYNAMICS;

HARD SPHERE POLYMERS; MANY BODY SOLVENT INFLUENCE FUNCTIONAL; PAIRWISE ADDITIVE APPROXIMATION; SCALED PARTICLE THEORY; SOLVATION;

POLYMERS;

EID: 0031097286     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.473560     Document Type: Article

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45. We worked out similar formulas for p = 3 and p = 4 in the hopes that perhaps for s = b no more than four shadows could ever mutually overlap on the unit sphere. Unfortunately a short numerical study showed that this is not the case. Since after p = 4 imagining all the ways p circles can overlap on the surface of a sphere is difficult, we constructed instead a general but less compact method for calculating the area mutually underlying an arbitrary number of circular shadows on the surface of a sphere. Details will be provided to any interested readers.