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Analytical Description of Two-step Decay Kinetics Averaged Exactly Over Dichotomous Fluctuations in Forward Rate

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The problem of averaging the kinetics of two-stage decaying system subject to dichotomous fluctuations in the forward rate is solved exactly. It is shown that the temporal behavior of system’s… Click to show full abstract

The problem of averaging the kinetics of two-stage decaying system subject to dichotomous fluctuations in the forward rate is solved exactly. It is shown that the temporal behavior of system’s populations is fourexponential, given finite frequency and amplitude of fluctuations. For frequent fluctuations, this behavior is bimodal typical of deterministic decay, but oppositely, it reduces to three-exponential and bimodal forms, specific of low and resonance amplitude fluctuations. There is an immobilization of initial state at a stochastic resonance point, where forward rate coincides with fluctuation amplitude, whereas backward, decay and fluctuation rates are all negligible.

Keywords: decay; rate; dichotomous fluctuations; analytical description; fluctuations forward; forward rate

Journal Title: Acta Physica Polonica B
Year Published: 2018

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