J. Phys. I France
Volume 3, Number 7, July 1993
Page(s) 1569 - 1584
DOI: 10.1051/jp1:1993201
J. Phys. I France 3 (1993) 1569-1584

Non-directed polymers in a random medium

Alex Hansen1, Einar L. Hinrichsen1 and Stéphane Roux2

1  HLRZ der Kernforschungsanlage Jülich, Postfach 1913, D-5170 Jülich 1, Germany
2  LPMMH, Ecole Supérieure de Physique et Chimie Industrielles, URA CNRS 857, 10 rue Vauquelin, F-75231 Paris Cedex 05, France

(Received 18 May 1992, revised 8 March 1993, accepted 9 March 1993)

We study an ensemble of polymers that strongly interact with the surrounding medium. One end of the polymers is fixed, but otherwise there are no restrictions on their possible conformations, allowing also self-crossings. We study in this paper by a Flory argument and by numerical methods the statistical properties of these in the low-temperature limit. We find that these properties strongly depend on the disorder of the surrounding medium, in contrast to the directed polymer case.

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