Residence time statistics for N renewal processes

S. Borov, E. Barkai

Research output: Contribution to conferencePaperpeer-review

Abstract

We present a study of residence time statistics for N renewal processes with a long tailed distribution of the waiting time. Such processes describe many nonequilibrium systems ranging from the intensity of N blinking quantum dots to the residence time of N Brownian particles. With numerical simulations and exact calculations, we show sharp transitions for a critical number of degrees of freedom N . In contrast to the expectation, the fluctuations in the limit of N → ∞ are nontrivial. We briefly discuss how our approach can be used to detect nonergodic kinetics from the measurements of many blinking chromophores, without the need to reach the single molecule limit.
Original languageEnglish
StatePublished - 2011
EventWeak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics - Dresden, Germany
Duration: 1 Aug 20115 Aug 2011

Conference

ConferenceWeak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics
Country/TerritoryGermany
CityDresden
Period1/08/115/08/11

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  • Conference Invited Keynote

    Stanislav Borow (Keynote speaker)

    1 Aug 20115 Aug 2011

    Activity: Talk or presentationInvited talk

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