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Relaxation through an asymmetric fluctuating potential barrier.

A Wozinski1, J Iwaniszewski

  • 1Institute of Physics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Toruń, Poland. olov@fizyka.umk.pl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 8, 2009
PubMed
Summary

We studied thermally activated barrier crossing in asymmetric potentials. An atypical maximum in mean first-passage time was observed for small fluctuation correlation times, highlighting the role of recrossing dynamics.

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Area of Science:

  • Statistical physics
  • Nonlinear dynamics
  • Chemical kinetics

Background:

  • Thermally activated processes are crucial in various scientific fields.
  • Understanding barrier crossing dynamics is essential for reaction rates and molecular processes.
  • Asymmetric potentials introduce complexities not fully captured by symmetric models.

Purpose of the Study:

  • To investigate the influence of barrier asymmetry on thermally activated crossing.
  • To analyze the dependence of mean first-passage time on fluctuation correlation time.
  • To explore the role of recrossing dynamics and the effect of fast fluctuations.

Main Methods:

  • Utilizing a triangular dichotomously varying potential landscape as a model system.
  • Analytical investigation of the mean first-passage time dependence on correlation time.
  • Numerical confirmation of findings across different systems.

Main Results:

  • An atypical maximum in mean first-passage time observed for small correlation times.
  • Qualitative explanation involving recrossing dynamics near the barrier top.
  • Fast barrier fluctuations do not necessarily increase relaxation rates, contrary to resonant activation findings.

Conclusions:

  • Barrier asymmetry significantly impacts crossing dynamics and first-passage times.
  • Recrossing dynamics play a critical, often overlooked, role in these processes.
  • The phenomenon of resonant activation may require re-evaluation in certain contexts.