Transport Statistics of Bistable Systems

2004/06/30 by Andrew N. Jordan, Eugene V. Sukhorukov · 3 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.93.260604

published as Phys. Rev. Lett. 93, 260604 (2004) · 4 pages, 3 figures, version to appear in Phys. Rev. Lett

arxiv created 2004/12/01 · openalex publication_date 2004/12/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the transport statistics of classical bistable systems driven by noise. The stochastic path integral formalism is used to investigate the dynamics and distribution of transmitted charge. Switching rates between the two stable states are found from an instanton calculation, leading to an effective two-state system on a long time scale. In the bistable current range, the telegraph noise dominates the distribution, whose logarithm is found to be universally described by a tilted ellipse.

Citations

• Shot noise in mesoscopic conductors
• Temperature-Dependent Third Cumulant of Tunneling Noise

Cited by

• Quantum Telegraph Behavior Without Photons
• Full counting statistics and first-passage times in quantum Markovian processes: Ensemble relations, metastability, and fluctuation theorems
• Mesoscopic threshold detectors: Telegraphing the size of a fluctuation

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