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Thermally activated escape with potential fluctuations driven by an Ornstein-Uhlenbeck process

Physical Review E, ISSN: 1063-651X, Vol: 52, Issue: 2, Page: 1579-1600
1995
  • 61
    Citations
  • 0
    Usage
  • 12
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    61
    • Citation Indexes
      61
  • Captures
    12

Article Description

We study the mean escape time T̄ of an overdamped Brownian particle in a metastable potential that is subject to additive Gaussian white noise (thermal noise) and multiplicative Ornstein-Uhlenbeck noise (potential fluctuations). We derive two very general simple conditions for the existence of ''resonant activation,'' i.e., a minimum of T̄ as a function of the correlation time τ of the potential fluctuations. In the case of small thermal and potential fluctuations, we investigate T̄(τ) for large τ by means of a kinetic model and the remaining τ regime by means of quasipotential theory. We find three different types of ''resonant activation'': a standard type, a type that typically occurs for potentials without fluctuations near the barrier and the well, and a mixed type. © 1995 The American Physical Society.

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