Kramers' rate for systems with multiplicative noise.
basic_science · Level V
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- Record sourced from PubMed, PMID 27575071.
- Also identified by DOI 10.1103/PhysRevE.94.012101.
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Abstract
Kramers' rate for the passage of trajectories X(t) over an energy barrier due to thermal or other fluctuations is usually associated with additive noise. We present a generalization of Kramers' rate for systems with multiplicative noise. We show that the expression commonly used in the literature for multiplicative noise is not correct, and we present results of numerical integrations of the Langevin equation for dX(t)/dt evolving in a quartic bistable potential which corroborate our claim.