Statistical Thermodynamics of Self-Avoiding Random Walks

The statistical thermodynamics of self-avoiding random walks on the diamond lattice with nearest-neighbor interaction energy ε is examined. If the probabilities per step of nearest-neighbor formation are taken as fundamental quantities, it is possible under a reasonable and simple assumption about t...

Full description

Saved in:
Bibliographic Details
Published in:The Journal of chemical physics 1967-01, Vol.47 (11), p.4427-4430
Main Author: Gans, Paul J.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The statistical thermodynamics of self-avoiding random walks on the diamond lattice with nearest-neighbor interaction energy ε is examined. If the probabilities per step of nearest-neighbor formation are taken as fundamental quantities, it is possible under a reasonable and simple assumption about the form of such probabilities to derive an expression for the canonical partition function. The partition function of a walk of σ+l steps relative to a single walk of length σ is qσ(a,l)=[(3p0+2ap1+a2p2)/(3p0+2p1+p2)]l, where a=exp(—ε/kT) and the pn are suitably defined nearest-neighbor formation probabilities.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.1701648