Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Surmounting oscillating barriers

Lehmann1, Reimann, Hanggi

  • 1Universitat Augsburg, Institut fur Physik, Universitatsstrasse 1, D-86135 Augsburg, Germany.

Physical Review Letters
|October 4, 2000
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Urea, Its Tests and Origin.

Western journal of medicine and surgery·2024
Same author

A case of retina glioma treated and cured by X-rays.

Annales d'oculistique·2010
Same author

Adsorption and Bioactivity of Protein A on Silicon Surfaces Studied by AFM and XPS.

Journal of colloid and interface science·2000
Same author

Nonlinear stochastic resonance: the saga of anomalous output-input gain

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Stochastic dynamics of time correlation in complex systems with discrete time

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same author

Surmounting oscillating barriers: path-integral approach for weak noise

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2000
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

We studied how systems escape potential barriers with periodic driving. Our new methods accurately predict escape rates, showing excellent agreement with numerical simulations across various conditions.

Area of Science:

  • Physics
  • Physical Chemistry
  • Statistical Mechanics

Background:

  • Understanding thermally activated escape is crucial in various physical systems.
  • Periodic driving can significantly alter escape dynamics.

Purpose of the Study:

  • To derive accurate analytical expressions for escape rates under periodic driving.
  • To investigate the influence of driving strength and frequency on escape dynamics.

Main Methods:

  • Development of novel time-dependent path-integral methods.
  • Derivation of asymptotically exact weak-noise expressions.
  • Comparison with accurate numerical results.

Main Results:

  • Asymptotically exact expressions for instantaneous and time-averaged escape rates were derived.

Related Experiment Videos

  • Excellent agreement between analytical predictions and numerical simulations was observed.
  • The findings are valid over a wide range of driving strengths and frequencies.

    • Conclusions:

    • The developed time-dependent path-integral methods provide a powerful tool for analyzing escape dynamics.
    • The study offers accurate predictions for systems experiencing periodic driving.
    • This work advances the understanding of barrier crossing phenomena in driven systems.