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Poisson-noise-induced escape from a metastable state
1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
We solved probability distribution and escape rate problems in Poisson-noise driven systems, covering exponents and prefactors for overdamped particles. Our findings apply across a wide range of noise pulse rates, from non-Gaussian to Gaussian regimes.
Area of Science:
- Statistical Physics
- Nonlinear Dynamics
- Stochastic Processes
Background:
- Poisson-noise driven systems are crucial in various physical phenomena.
- Understanding probability distributions and escape rates is key to characterizing system dynamics.
- Previous analyses often faced limitations in handling arbitrary noise rates.
Purpose of the Study:
- To provide a comprehensive solution for probability distribution and escape rate problems in Poisson-noise driven systems.
- To determine both exponents and prefactors for these key system parameters.
- To extend the analysis to arbitrary average noise pulse rates.
Main Methods:
- Analysis of an overdamped particle in a potential well.
- Mathematical framework for Poisson noise.
- Investigation across a spectrum of noise pulse rates.
Main Results:
- A complete solution for probability distribution and escape rate is presented.
- Exponents and prefactors for system dynamics are derived.
- The results are shown to be valid for both slow (non-Gaussian) and high (Gaussian) noise pulse rates.
Conclusions:
- The study offers a unified approach to analyzing Poisson-noise driven systems.
- The derived solutions are applicable to a broad range of noise characteristics.
- This work advances the understanding of stochastic processes in physical systems.
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