Escape rates in periodically driven Markov processes
| dc.creator | Schindler, Michael | |
| dc.creator | Talkner, Peter | |
| dc.creator | Hänggi, Peter | |
| dc.date | 2006-01-09 | |
| dc.date.accessioned | 2026-07-07T06:59:47Z | |
| dc.date.available | 2026-07-07T06:59:47Z | |
| dc.description | We present an approximate analytical expression for the escape rate of time-dependent driven stochastic processes with an absorbing boundary such as the driven leaky integrate-and-fire model for neural spiking. The novel approximation is based on a discrete state Markovian modeling of the full long-time dynamics with time-dependent rates. It is valid in a wide parameter regime beyond the restraining limits of weak driving (linear response) and/or weak noise. The scheme is carefully tested and yields excellent agreement with three different numerical methods based on the Langevin equation, the Fokker-Planck equation and an integral equation. | |
| dc.description | 10 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0601045 | |
| dc.identifier | http://arxiv.org/abs/physics/0601045 | |
| dc.identifier | Physica A 351 (2005) 40-50 | |
| dc.identifier | doi:10.1016/j.physa.2004.12.020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107872 | |
| dc.subject | Data Analysis, Statistics and Probability | |
| dc.subject | Biological Physics | |
| dc.title | Escape rates in periodically driven Markov processes | |
| dc.type | text |