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

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.

Description

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

DOI

10.1103/PhysRevLett.122.230602

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

Permanent link to this item

https://urn.fi/URN:NBN:fi:aalto-201907304536

Collections

[article-cris] Perustieteiden korkeakoulu / SCI

Show all metadata