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

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

In: Physical Review Letters, Vol. 122, No. 23, 230602, 13.06.2019, p. 1-6.

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@article{a7835dbb7341492eb588ecb5831d3950,
title = "Universal First-Passage-Time Distribution of Non-Gaussian Currents",
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.",
author = "Shilpi Singh and Paul Menczel and Golubev, {Dmitry S.} and Khaymovich, {Ivan M.} and Peltonen, {Joonas T.} and Christian Flindt and Keiji Saito and {\'E}dgar Rold{\'a}n and Pekola, {Jukka P.}",
note = "| openaire: EC/H2020/742559/EU//SQH",
year = "2019",
month = "6",
day = "13",
doi = "10.1103/PhysRevLett.122.230602",
language = "English",
volume = "122",
pages = "1--6",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "23",

}

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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 - Saito, Keiji

AU - Roldán, Édgar

AU - Pekola, Jukka P.

N1 - | openaire: EC/H2020/742559/EU//SQH

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

U2 - 10.1103/PhysRevLett.122.230602

DO - 10.1103/PhysRevLett.122.230602

M3 - Article

VL - 122

SP - 1

EP - 6

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 23

M1 - 230602

ER -

ID: 35182152