Transport Statistics of Bistable Systems

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.

4 pages, 3 figures, version to appear in Phys. Rev. Lett

References in corpus (13)

• Shot Noise in Mesoscopic Conductors
• Electron Counting Statistics and Coherent States of Electric Current
• Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
• Current-Driven Magnetic Excitations in Permalloy-Based Multilayer Nanopillars
• Environmental effects in the third moment of voltage fluctuations in a tunnel junction
• Rare Events Statistics in Reaction--Diffusion Systems
• Stochastic Path Integral Formulation of Full Counting Statistics
• Fluctuation Statistics in Networks: a Stochastic Path Integral Approach
• Transition from Sub-Poissonian to Super-Poissonian Shot Noise in Resonant Quantum Wells
• Temperature dependent third cumulant of tunneling noise
• Cascade Boltzmann - Langevin approach to higher-order current correlations in diffusive metal contacts
• Shot Noise Enhancement in Resonant Tunneling Structures in a Magnetic Field
• Lifetime of metastable states in resonant tunneling structures

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