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 Saito, Édgar Roldán, Jukka P. Pekola

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3 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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    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, 122(23), [230602]. https://doi.org/10.1103/PhysRevLett.122.230602