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

Shilpi Singh, Paul Menczel, Dmitry S. Golubev, Ivan M. Khaymovich, Joonas T. Peltonen, Christian Flindt, Keiji Saitou, Édgar Roldán, Jukka P. Pekola

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Article number230602
JournalPhysical Review Letters
Volume122
Issue number23
DOIs
Publication statusPublished - 2019 Jun 13

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Markov processes
thresholds
stochastic processes
electric charge
approximation
electrons
conductors
statistics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Singh, S., Menczel, P., Golubev, D. S., Khaymovich, I. M., Peltonen, J. T., Flindt, C., ... Pekola, J. P. (2019). Universal First-Passage-Time Distribution of Non-Gaussian Currents. Physical Review Letters, 122(23), [230602]. https://doi.org/10.1103/PhysRevLett.122.230602

Universal First-Passage-Time Distribution of Non-Gaussian Currents. / Singh, Shilpi; Menczel, Paul; Golubev, Dmitry S.; Khaymovich, Ivan M.; Peltonen, Joonas T.; Flindt, Christian; Saitou, Keiji; Roldán, Édgar; Pekola, Jukka P.

In: Physical Review Letters, Vol. 122, No. 23, 230602, 13.06.2019.

Research output: Contribution to journalArticle

Singh, S, Menczel, P, Golubev, DS, Khaymovich, IM, Peltonen, JT, Flindt, C, Saitou, K, Roldán, É & Pekola, JP 2019, 'Universal First-Passage-Time Distribution of Non-Gaussian Currents', Physical Review Letters, vol. 122, no. 23, 230602. https://doi.org/10.1103/PhysRevLett.122.230602
Singh S, Menczel P, Golubev DS, Khaymovich IM, Peltonen JT, Flindt C et al. Universal First-Passage-Time Distribution of Non-Gaussian Currents. Physical Review Letters. 2019 Jun 13;122(23). 230602. https://doi.org/10.1103/PhysRevLett.122.230602
Singh, Shilpi ; Menczel, Paul ; Golubev, Dmitry S. ; Khaymovich, Ivan M. ; Peltonen, Joonas T. ; Flindt, Christian ; Saitou, Keiji ; Roldán, Édgar ; Pekola, Jukka P. / Universal First-Passage-Time Distribution of Non-Gaussian Currents. In: Physical Review Letters. 2019 ; Vol. 122, No. 23.
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