dorsal/arxiv
View SchemaEscape rates in periodically driven Markov processes
| Authors | Michael Schindler, Peter Talkner, Peter Hänggi |
|---|---|
| Categories | |
| ArXiv ID | physics/0601045 |
| URL | https://arxiv.org/abs/physics/0601045 |
| DOI | 10.1016/j.physa.2004.12.020 |
| Journal | Physica A 351 (2005) 40-50 |
Abstract
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.
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"abstract": "We present an approximate analytical expression for the escape rate of\ntime-dependent driven stochastic processes with an absorbing boundary such as\nthe driven leaky integrate-and-fire model for neural spiking. The novel\napproximation is based on a discrete state Markovian modeling of the full\nlong-time dynamics with time-dependent rates. It is valid in a wide parameter\nregime beyond the restraining limits of weak driving (linear response) and/or\nweak noise. The scheme is carefully tested and yields excellent agreement with\nthree different numerical methods based on the Langevin equation, the\nFokker-Planck equation and an integral equation.",
"arxiv_id": "physics/0601045",
"authors": [
"Michael Schindler",
"Peter Talkner",
"Peter H\u00e4nggi"
],
"categories": [
"physics.data-an",
"physics.bio-ph"
],
"doi": "10.1016/j.physa.2004.12.020",
"journal_ref": "Physica A 351 (2005) 40-50",
"title": "Escape rates in periodically driven Markov processes",
"url": "https://arxiv.org/abs/physics/0601045"
},
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