Canonical partition functions of freely jointed chains

Published under licence by IOP Publishing Ltd
, , Citation Martial Mazars 1998 J. Phys. A: Math. Gen. 31 1949 DOI 10.1088/0305-4470/31/8/008

0305-4470/31/8/1949

Abstract

The freely jointed chain is a simple off-lattice ideal model of a heteropolymer. We show how to compute the canonical partition function of this model exactly for all physical primary structures, degree of polymerization and space dimensions greater than or equal to 2. The canonical partition function of this model of a heteropolymer has an analytical expression involving a complicated multiple hypergeometric function. To obtain some accurate approximations we develop and use the independent motion approximation (IMA).

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10.1088/0305-4470/31/8/008