Resonant Activation Phenomenon for Non-Markovian Potential-Fluctuation Processes

Details Resonant Activation Phenomenon for Non-Markovian Potential-Fluctuation Processes Resonant Activation Phenomenon for Non-Markovian Potential-Fluctuation Processes

2000-04-20

arxiv.org/abs/cond-mat/0004351v3

Phys. Rev. E 63 (1), 012102 (2001)

Physics

Condensed Matter

Statistical Mechanics

RevTeX 4, 5 pages, 4 figures; considerably shortened version accepted as a brief report to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.63.012102

We consider a generalization of the model by Doering and Gadoua to non-Markovian potential-switching generated by arbitrary renewal processes. For the Markovian switching process, we extend the original results by Doering and Gadoua by giving a complete description of the absorption process. For all non-Markovian processes having the first moment of the waiting time distributions, we get qualitatively the same results as in the Markovian case. However, for distributions without the first moment, the mean first passage time curves do not exhibit the resonant activation minimum. We thus come to the conjecture that the generic mechanism of the resonant activation fails for fluctuating processes widely deviating from Markovian.

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