Escape from noisy intermittent repellers
Intermittent or marginally stable repellers are commonly associated with a power law decay in the survival fraction. We demonstrate how the presence of weak additive noise alters the spectrum of the Perron-Frobenius operator significantly, giving rise to exponential decays even in systems that are otherwise regular. Implications for ballistic transport in marginally stable miscrostructures are also discussed.
Biswas
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Theoretical Physics Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085, India.