| Issue |
J. Phys. I France
Volume 6, Number 3, March 1996
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|---|---|---|
| Page(s) | 385 - 392 | |
| DOI | https://doi.org/10.1051/jp1:1996163 | |
DOI: 10.1051/jp1:1996163
J. Phys. I France 6 (1996) 385-392
1 Laboratoire de Physique et Mécanique des Milieux Hétérogènes, École Supérieure de Physique et Chimie Industrielles, 10 rue Vauquelin, 75231 Paris Cedex 05, France
2 Institut de Physique Théorique, Université de Fribourg, Pérolles, CH-1700, Fribourg, Switzerland
(Received 7 September 1995, received in final form 15 November 1995, accepted 27 November 1995)
© Les Editions de Physique 1996
J. Phys. I France 6 (1996) 385-392
Extremal Hamiltonian for Directed Polymers
Stéphane Roux1 and Yi-Cheng Zhang21 Laboratoire de Physique et Mécanique des Milieux Hétérogènes, École Supérieure de Physique et Chimie Industrielles, 10 rue Vauquelin, 75231 Paris Cedex 05, France
2 Institut de Physique Théorique, Université de Fribourg, Pérolles, CH-1700, Fribourg, Switzerland
(Received 7 September 1995, received in final form 15 November 1995, accepted 27 November 1995)
Abstract
We study an extremal Hamiltonian for directed polymers. The ground states are degenerate and they form a cluster of directed
percolation. This degeneracy has a hierarchical fractal structure and can be lifted by a progressive optimization.
© Les Editions de Physique 1996