Please use this identifier to cite or link to this item:
http://dspace.mediu.edu.my:8181/xmlui/handle/123456789/7997| Title: | Path integrals and perturbation theory for stochastic processes |
| Issue Date: | 1-Jun-2013 |
| Publisher: | Sociedade Brasileira de Física |
| Description: | We review and extend the formalism introduced by Peliti, that maps a Markov process to a path-integral representation. After developing the mapping, we apply it to some illustrative examples: the simple decay process, the birth-and-death process, and the Malthus-Verhulst process. In the first two cases we show how to obtain the exact probability generating function using the path integral. We show how to implement a diagrammatic perturbation theory for processes that do not admit an exact solution. Analysis of a set of coupled Malthus-Verhulst processes on a lattice leads, in the continuum limit, to a field theory for directed percolation and allied models. |
| URI: | http://koha.mediu.edu.my:8181/jspui/handle/123456789/7997 |
| Other Identifiers: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000100005 http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2003&volume=33&issue=1&spage=73 |
| Appears in Collections: | Physics and Astronomy |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.