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Statistics of flexible rings with excluded volume

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  • Nikomarov, E.S.

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.

Suggested Citation

  • Nikomarov, E.S., 1983. "Statistics of flexible rings with excluded volume," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 120(3), pages 647-655.
  • Handle: RePEc:eee:phsmap:v:120:y:1983:i:3:p:647-655
    DOI: 10.1016/0378-4371(83)90074-2
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