Dhar, Deepak ; Barma, Mustansir ; Phani, Mohan K. (1981) Duality transformations for two-dimensional directed percolation and resistance problems Physical Review Letters, 47 (18). pp. 1238-1241. ISSN 0031-9007
Full text not available from this repository.
Official URL: http://prl.aps.org/abstract/PRL/v47/i18/p1238_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.47.1238
Abstract
It is shown that the percolation problem with blocked, one-way, or two-way bonds is self-dual on a square lattice. The usual directed percolation (blocked or one-way bonds) is dual to a simpler process with one- or two-way bonds. The results of a Monte Carlo simulation of the latter are reported and an improved bound on the critical probability is derived. The corresponding resistance problem in which circuit elements have different forward and backward resistances is also shown to be self-dual.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society . |
| ID Code: | 1427 |
| Deposited On: | 04 Oct 2010 11:21 |
| Last Modified: | 12 Jul 2012 05:06 |
Repository Staff Only: item control page
