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| Format: | Artículo científico |
| Sprache: | en |
| Veröffentlicht: |
Sociedade Brasileira de Física
2003
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| Online-Zugang: | https://www.redalyc.org/articulo.oa?id=46413520005 |
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Inhaltsangabe:
- Path Integrals and Perturbation Theory for Stochastic Processes Ronald Dickman Ronaldo Vidigal Física, Astronomía y Matemáticas 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. 2003 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413520005 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.33