Directed self-avoiding walks on a randomly dilute lattice
- 1 January 1985
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 46 (1) , 17-26
- https://doi.org/10.1051/jphys:0198500460101700
Abstract
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 valueKeywords
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