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Article Dans Une Revue Journal de Physique Année : 1985

Directed self-avoiding walks on a randomly dilute lattice

J.P. Nadal
J. Vannimenus
  • Fonction : Auteur

Résumé

We consider a model of Directed Self-Avoiding Walks (DSAW) on a dilute lattice, using various approaches (Cayley Tree, weak-disorder expansion, Monte-Carlo generation of walks up to 2 000 steps). This simple model appears to contain the essential features of the controversial problem of self-avoiding walks in a random medium. It is shown in particular that with any amount of disorder the mean value for the number of DSAW is different from its most probable value.

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jpa-00209941 , version 1 (04-02-2008)

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J.P. Nadal, J. Vannimenus. Directed self-avoiding walks on a randomly dilute lattice. Journal de Physique, 1985, 46 (1), pp.17-26. ⟨10.1051/jphys:0198500460101700⟩. ⟨jpa-00209941⟩

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