### Abstract

The statistical mechanical properties of plane polymer loops enclosing a constant area are investigated, using a continuous model from the start. For this purpose an analytic expression for the generating functional is obtained, which in turn is used to derive (1) the distribution function for the enclosed area, (2) the average squared distance of a given repeating unit from the origin, and (3) the entropic force on a repeating unit.

Original language | Undefined |
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Pages (from-to) | 1073-1080 |

Journal | Journal of statistical physics |

Volume | 53 |

Issue number | 5-6 |

DOIs | |

Publication status | Published - 1988 |

### Keywords

- Polymers
- IR-85944
- Constraints
- path integrals

## Cite this

Khandekar, D. C., & Wiegel, F. W. (1988). Statistical mechanical properties of polymer configurations which enclose a constant area.

*Journal of statistical physics*,*53*(5-6), 1073-1080. https://doi.org/10.1007/BF01023858