Escape rates in periodically driven Markov processes

Michael Schindler, Peter Talkner and Peter Hänggi

Physica A: Statistical Mechanics and its Applications, 2005, vol. 351, issue 1, 40-50

Abstract: We present an approximate analytical expression for escape rates 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.

Keywords: Absorbing boundary; Non-stationary Markov processes; Ornstein–Uhlenbeck process; Rate process; Periodic driving; Driven neuron models (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:351:y:2005:i:1:p:40-50

DOI: 10.1016/j.physa.2004.12.020

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