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Supersymmetric time-continuous discrete random walks | Haret C. Rosu
; Marco Reyes
; | Date: |
4 Nov 1994 | Journal: | Phys. Rev. E 51, 5112 (May 1995) [BR] | Subject: | hep-th | Abstract: | We apply the supersymmetric procedure to one-step random walks in one dimension at the level of the usual master equation, extending a study initiated by H.R. Jauslin [Phys. Rev. A {f 41}, 3407 (1990)]. A discussion of the supersymmetric technique for this discrete case is presented by introducing a formal second-order discrete master derivative and its ``square root", and we solve completely, and in matrix form, the cases of homogeneous random walks (constant jumping rates). A simple generalization of Jauslin’s results to two uncorrelated axes is also provided. There may be many applications, especially to bistable and multistable one-step processes. | Source: | arXiv, hep-th/9411026 | Services: | Forum | Review | PDF | Favorites |
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