Statistics of flexible rings with excluded volume

E.S. Nikomarov

Physica A: Statistical Mechanics and its Applications, 1983, vol. 120, issue 3, 647-655

Abstract: A grand partition function of a system of closed self-avoiding lines on a lattice is studied. The examples of such lines are closed linear singularities: dislocations, vortex lines, etc. The partition function is expressed in the form of an integral over fictitious fields so that the behaviour of the whole system and a single ring in the system may be qualitatively described. A length distribution of rings, a mean radius of a ring of length L in the system and an effective interaction of the points of a probe ring, arising from the interaction of the probe ring with other rings, have been derived. An impact of broken rings is discussed.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:120:y:1983:i:3:p:647-655

DOI: 10.1016/0378-4371(83)90074-2

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