Transport statistics in bistable systems: a stochastic path integral approach

Andrew N. Jordan; Eugene V. Sukhorukov

doi:10.1117/12.609974

23 May 2005 Transport statistics in bistable systems: a stochastic path integral approach (Invited Paper)

Andrew N. Jordan, Eugene V. Sukhorukov

Proceedings Volume 5843, Fluctuations and Noise in Materials II; (2005) https://doi.org/10.1117/12.609974
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

We consider the non-equilibrium noise properties of bistable systems. The stochastic path integral formalism is derived and used to investigate the dynamics and distribution of transmitted charge. Microscopic fluctuations induce transitions between the two stable states, with rates found from an instanton calculation. On a long time scale, the system exhibits a random telegraph signal between the currents produced by the two stable states. We predict a universal ellipse law for the log-distribution of transmitted charge in the bistable current range, which applies to any type of bistable system, regardless of its origin.

Citation Download Citation

Andrew N. Jordan and Eugene V. Sukhorukov "Transport statistics in bistable systems: a stochastic path integral approach (Invited Paper)", Proc. SPIE 5843, Fluctuations and Noise in Materials II, (23 May 2005); https://doi.org/10.1117/12.609974

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