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Transport statistics of bistable systems
Andrew N Jordan1, Eugene V Sukhorukov
1Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.
Physical Review Letters
|February 9, 2005
Summary
This study analyzes charge transport in classical bistable systems using noise. It reveals that telegraph noise in the bistable current range universally shapes the charge distribution as a tilted ellipse.
Area of Science:
- Statistical physics
- Non-equilibrium systems
- Transport phenomena
Background:
- Bistable systems are fundamental in various physical and chemical processes.
- Understanding charge transport in noisy environments is crucial for device physics.
Purpose of the Study:
- To investigate the transport statistics of classical bistable systems driven by noise.
- To analyze the dynamics and distribution of transmitted charge.
- To determine switching rates between stable states.
Main Methods:
- Utilized the stochastic path integral formalism.
- Employed instanton calculations to determine switching rates.
- Analyzed the distribution of transmitted charge.
Main Results:
- Derived switching rates, establishing an effective two-state system on long timescales.
- Identified telegraph noise as the dominant factor in the bistable current range.
- Found the logarithm of the charge distribution is universally described by a tilted ellipse.
Conclusions:
- The study provides a comprehensive analysis of charge transport in noisy bistable systems.
- The universal description of the charge distribution offers new insights into non-equilibrium statistical mechanics.