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Short-time propagators for nonlinear Fokker-Planck equations
| Content Provider | Scilit |
|---|---|
| Author | Donoso, J. M. Salgado, Jesus Soler, M. |
| Copyright Year | 1999 |
| Description | Journal: Journal of Physics A: General Physics Path-integral solutions to time-evolution equations in statistical physics have recently aroused great interest. The main problem in applying these methods is to find a valid propagator in the short-time regime of evolution. A new method is proposed to obtain a set of accurate short-time propagators by the construction of a simple auxiliary Fokker-Planck equation. This equation takes into account the full relevant functional dependence of the original drift and diffusion terms. By using a suitable decomposition of the drift and diffusion coefficients it is possible to derive a new representation of the Dirac -function. From this representation the short-time behaviour of the solutions is given not only for the infinitesimal time interval, but also for a discrete finite one which has a more practical numerical sense. This picture leads to accurate short-time propagators which include the prescribed boundary conditions. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/32/20/302/pdf |
| Ending Page | 3695 |
| Page Count | 15 |
| Starting Page | 3681 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/32/20/302 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 20 |
| Volume Number | 32 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1999-01-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Mathematical Physics Particles and Fields Physics Nonlinear Fokker Fokker Planck Time Propagators Planck Equations |
| Content Type | Text |
| Resource Type | Article |
