Path integrals and perturbation theory for stochastic processes

dc.creator	Dickman Ronald
dc.creator	Vidigal Ronaldo
dc.date	2003
dc.date.accessioned	2013-06-01T09:56:27Z
dc.date.available	2013-06-01T09:56:27Z
dc.date.issued	2013-06-01
dc.identifier	http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000100005
dc.identifier	http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2003&volume=33&issue=1&spage=73
dc.identifier.uri	http://koha.mediu.edu.my:8181/jspui/handle/123456789/7997
dc.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.
dc.publisher	Sociedade Brasileira de Física
dc.source	Brazilian Journal of Physics
dc.title	Path integrals and perturbation theory for stochastic processes

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