On the resolution of ordering ambiguities associated with the path integral representation of stochastic processes
- 11 September 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (13) , L767-L771
- https://doi.org/10.1088/0305-4470/18/13/007
Abstract
Simple path integral approaches to multiplicative stochastic processes are severely hampered by an inherent ambiguity in the underlying Lagrangian associated with operator ordering problems. The author shows how, given the Fokker-Planck equation, the ambiguity can be resolved. Direct consequences for noise-induced transitions, reaction-diffusion models and polymer dynamics are briefly discussed.Keywords
This publication has 9 references indexed in Scilit:
- Field theories for kinetic growth modelsJournal of Physics A: General Physics, 1985
- Non-equilibrium scaling in the Schlogl modelJournal of Physics A: General Physics, 1985
- Exact macroscopic dynamics in non-equilibrium chemical systemsJournal of Physics A: General Physics, 1985
- Perturbation expansions for the transport quantities of dilute polymer solutionsJournal of Physics A: General Physics, 1984
- Functional integral methods for stochastic fieldsPhysica A: Statistical Mechanics and its Applications, 1979
- Field-theory renormalization and critical dynamics above: Helium, antiferromagnets, and liquid-gas systemsPhysical Review B, 1978
- Theory of dynamic critical phenomenaReviews of Modern Physics, 1977
- Operator orderings and functional formulations of quantum and stochastic dynamicsZeitschrift für Physik B Condensed Matter, 1977
- Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action PrinciplesReviews of Modern Physics, 1957