Configurational packing statistics of polymers near a surface. I. The generalization of the rigid rod case to include both orientation dependence and spatial variation
- 1 February 1977
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 66 (3) , 1160-1169
- https://doi.org/10.1063/1.434051
Abstract
The following problem is solved: What is the total number of ways to pack rigid rod molecules together given that the number densityf (Ω,r) at each point r and each orientation Ω are specified. This constitutes a generalization of previous work which allowed for only Ω dependence. The problem is first solved for a cubic lattice and then generalized to a continuous variation of both position and orientation. The problem of minimizing the associated free energy is solved. The results are applicable to determination of the adsorption properties of rigid rod molecules near a surface as well as liquid crystal behavior.Keywords
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