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Resonant exit time in stochastic and deterministic systems.

I Klik1, Y D Yao

  • 1Institute of Physics, Academia Sinica, Taipei 115, Taiwan, Republic of China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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This study reveals resonant activation in deterministic systems, not just diffusive ones. Particle motion in time-dependent potentials shows a minimum exit time, demonstrating this phenomenon even without thermal noise.

Area of Science:

  • * Statistical physics
  • * Nonlinear dynamics
  • * Quantum mechanics

Background:

  • * Particle dynamics in time-dependent potentials are crucial for understanding various physical phenomena.
  • * Resonant activation is typically observed in systems with noise (diffusive systems).
  • * The behavior of particles at absolute zero and with thermal agitation requires distinct theoretical approaches.

Purpose of the Study:

  • * To investigate particle motion in time-dependent potentials under varying conditions (absolute zero and thermal agitation).
  • * To explore the existence of resonant activation in purely deterministic systems.
  • * To analyze the influence of potential fluctuations (random or harmonic) on particle exit times.

Main Methods:

  • * Theoretical analysis of particle motion.

Related Experiment Videos

  • * Modeling of time-dependent potentials with random fluctuations or harmonic oscillations.
  • * Introduction of absorbing boundaries to define and calculate exit times.
  • * Examination of the system's behavior at absolute zero and with thermal agitation.

    • Main Results:

    • * An exit time, tau(ex)(kappa), was found to exhibit a local minimum with respect to the potential flip rate, kappa.
    • * Resonant activation was demonstrated to exist in purely deterministic systems, challenging previous assumptions.
    • * Thermal agitation was shown to broaden the range of initial conditions and ensure finite exit times.

    Conclusions:

    • * Resonant activation is a phenomenon not exclusive to diffusive systems but also present in deterministic ones.
    • * The study provides a theoretical framework for understanding particle escape dynamics in complex potentials.
    • * Thermal agitation plays a role in refining the conditions for particle escape.