| 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 |
|