PMID: 15244635Jul 13, 2004Paper

Non-Markovian rotating unstable processes driven by Gaussian colored noise

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J I Jiménez-Aquino, M Romero-Bastida

Abstract

In this paper the statistical properties of the mean passage time distribution are used to characterize the decay process of non-Markovian rotating unstable processes driven by Gaussian colored noise and subjected to the influence of a constant external force. The time characterization will be linear and studied in two limiting cases: large and intermediate times. General systems of two variables are studied. In both schemes we show that, for small correlation time of the noise, the non-Markovian effects are taken into account by an effective noise intensity. To compare qualitatively the non-Markovian time scale with respect to the Markovian case, we apply those results to determine the detection bandwidth of a large external signal in a laser system.

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Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J I Jiménez-Aquino, M Romero-Bastida

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Citations

Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J I Jiménez-Aquino, M Romero-Bastida

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