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 Concept Videos

Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Forced Oscillations01:06

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
Sound Waves: Interference00:53

Sound Waves: Interference

Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
Interference: Path Lengths01:10

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Limits with Oscillating Discontinuities01:19

Limits with Oscillating Discontinuities

An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the most...

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

A Rectangular Zinc Cluster and a Rectangular Nickel Cluster That Exhibits Ferromagnetic Coupling Chelate Complexes, Part 13. This work was supported by the Deutsche Forschungsgemeinschaft, Bayerisches Langzeitprogramm "Neue Werkstoffe" and the Fonds der Chemischen Industrie. Part 12: ref. 14.

Angewandte Chemie (International ed. in English)·2000

Related Experiment Video

Updated: Jul 12, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Surmounting oscillating barriers: path-integral approach for weak noise

Lehmann1, Reimann, Hanggi

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

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
Summary

We developed a new method to calculate the escape rate of Brownian particles over potential barriers under periodic driving. This approach provides accurate predictions for escape dynamics, crucial for understanding particle behavior in driven systems.

More Related Videos

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
08:19

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System

Published on: May 9, 2021

Related Experiment Videos

Last Updated: Jul 12, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
08:19

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System

Published on: May 9, 2021

Area of Science:

  • Statistical physics
  • Nonlinear dynamics
  • Chemical kinetics

Background:

  • Brownian motion describes random particle movement.
  • Potential barriers influence particle escape.
  • Periodic driving introduces time-dependent forces.

Purpose of the Study:

  • To develop a theoretical framework for analyzing thermally activated escape over a potential barrier.
  • To investigate the effects of periodic driving on escape rates.
  • To derive accurate analytical expressions for escape rates.

Main Methods:

  • Time-dependent path-integral formalism.
  • Asymptotic analysis for weak-noise regimes.
  • Numerical minimization of action integrals for complex potentials.

Main Results:

  • Derived asymptotically exact weak-noise expressions for instantaneous and time-averaged escape rates.
  • Developed a novel treatment for the prefactor in the Arrhenius factor.
  • Provided estimates for finite noise strength deviations and verified a supersymmetry-type property.

Conclusions:

  • The developed formalism offers a conceptually new and systematic approach to escape rate calculations.
  • Theoretical predictions show excellent agreement with numerical results across various driving conditions.
  • The method is applicable to both simple (piecewise parabolic) and complex (cubic) potentials.