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Related Experiment Videos

Resonant activation in discrete systems.

O Flomenbom1, J Klafter

  • 1School of Chemistry, Raymond & Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 13, 2004
PubMed
Summary

Resonant activation phenomenon (RAP) in discrete systems is linked to nonmonotonic first passage time probability density functions. Analytical and numerical methods reveal RAP behavior across transition rates and boundary conditions.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Statistical Mechanics

Background:

  • The resonant activation phenomenon (RAP) describes unusual behavior in discrete systems.
  • Understanding RAP is crucial for various scientific disciplines.

Purpose of the Study:

  • To investigate the resonant activation phenomenon (RAP) in discrete systems using the master equation formalism.
  • To analyze the relationship between RAP and the frequency-dependent first passage time probability density function (PDF).

Main Methods:

  • Utilized the master equation formalism to study discrete systems.
  • Developed an analytical expression for the resonant frequency.
  • Employed numerical simulations to explore RAP behavior.

Main Results:

Related Experiment Videos

  • Demonstrated that RAP corresponds to nonmonotonic behavior in the frequency-dependent first passage time PDF.
  • Investigated RAP across transition rates for reflecting and absorbing boundary conditions.
  • Identified conditions for obtaining minima and maxima in mean first passage time with absorbing boundaries.

Conclusions:

  • Provided insights into the parameter space governing RAP.
  • Highlighted the limited range of parameters for RAP occurrence.
  • Suggested potential relationships between RAP and biological systems.