### 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 language | English |
---|---|

Article number | 230602 |

Journal | Physical Review Letters |

Volume | 122 |

Issue number | 23 |

DOIs | |

Publication status | Published - 2019 Jun 13 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*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.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 122, no. 23, 230602. https://doi.org/10.1103/PhysRevLett.122.230602

}

TY - JOUR

T1 - Universal First-Passage-Time Distribution of Non-Gaussian Currents

AU - Singh, Shilpi

AU - Menczel, Paul

AU - Golubev, Dmitry S.

AU - Khaymovich, Ivan M.

AU - Peltonen, Joonas T.

AU - Flindt, Christian

AU - Saitou, Keiji

AU - Roldán, Édgar

AU - Pekola, Jukka P.

PY - 2019/6/13

Y1 - 2019/6/13

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85067343464&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85067343464&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.122.230602

DO - 10.1103/PhysRevLett.122.230602

M3 - Article

C2 - 31298917

AN - SCOPUS:85067343464

VL - 122

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 23

M1 - 230602

ER -