Universal First-Passage-Time Distribution of Non-Gaussian Currents

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Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2019-06-13
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Mcode
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Language
en
Pages
1-6
Series
Physical Review Letters, Volume 122, issue 23
Abstract
We investigate the fluctuations of the time elapsed until the electric charge transferred through a conductor reaches a given threshold value. For this purpose, we measure the distribution of the first-passage times for the net number of electrons transferred between two metallic islands in the Coulomb blockade regime. Our experimental results are in excellent agreement with numerical calculations based on a recent theory describing the exact first-passage-time distributions for any nonequilibrium stationary Markov process. We also derive a simple analytical approximation for the first-passage-time distribution, which takes into account the non-Gaussian statistics of the electron transport, and show that it describes the experimental distributions with high accuracy. This universal approximation describes a wide class of stochastic processes, and can be used beyond the context of mesoscopic charge transport. In addition, we verify experimentally a fluctuation relation between the first-passage-time distributions for positive and negative thresholds.
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| openaire: EC/H2020/742559/EU//SQH
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Citation
Singh, S, Menczel, P, Golubev, D S, Khaymovich, I M, Peltonen, J T, Flindt, C, Saito, K, Roldán, É & Pekola, J P 2019, ' Universal First-Passage-Time Distribution of Non-Gaussian Currents ', Physical Review Letters, vol. 122, no. 23, 230602, pp. 1-6 . https://doi.org/10.1103/PhysRevLett.122.230602