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Path integrals and perturbation theory for stochastic processes

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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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