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

Path integral approach to Brownian motion driven with an ac force.

L Y Chen1, P L Nash

  • 1Department of Physics, University of Texas at San Antonio, San Antonio, Texas 78249-0697, USA. lychen@utsa.edu

The Journal of Chemical Physics
|August 31, 2004
PubMed
Summary

We studied Brownian motion driven by an oscillatory force across all damping levels. The direct current (dc) showed nonlinear dependence on damping, potential, and ac force parameters.

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

[Advances in the clinical application of folded flaps for maxillofacial defect reconstruction].

Zhonghua kou qiang yi xue za zhi = Zhonghua kouqiang yixue zazhi = Chinese journal of stomatology·2026
Same author

EphrinB2 Regulates DPSC Pericyte-like Functions via the Focal Adhesion Pathway.

Journal of dental research·2026
Same author

[Survival analysis in hepatitis C cases aged ≥18 years in Yuxi City from 2005 to 2023].

Zhonghua yu fang yi xue za zhi [Chinese journal of preventive medicine]·2025
Same author

[The prevention and treatment of epidemic diseases in <i>Weisheng Bao</i>].

Zhonghua yi shi za zhi (Beijing, China : 1980)·2025
Same author

[The development of the characteristics of modern Chinese medical ethics].

Zhonghua yi shi za zhi (Beijing, China : 1980)·2025
Same author

[Value of high-risk HPV viral load in cervical cancer screening and triage: a real world retrospective study based on cervical cancer screening program in Quanzhou, China].

Zhonghua fu chan ke za zhi·2025

Area of Science:

  • Physics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • Brownian motion describes random particle movement due to thermal fluctuations.
  • Periodic potentials and oscillatory forces introduce complex dynamics.
  • Understanding particle behavior across damping regimes is crucial for various physical systems.

Purpose of the Study:

  • To investigate Brownian motion in a periodic potential under an oscillatory driving force.
  • To explore the full range of damping constants, from overdamped to underdamped regimes.
  • To derive analytical expressions for particle behavior and current.

Main Methods:

  • Utilizing the path (functional) integral approach to derive probability distribution and current formulas.
  • Employing the negative friction Langevin dynamics technique for evaluating direct current (dc) without approximations.

Related Experiment Videos

  • Analyzing the system's response across the entire damping spectrum.

    • Main Results:

    • Formulas for the probability distribution function and particle current were derived using the path integral method.
    • The dc current was evaluated using negative friction Langevin dynamics, covering all damping regimes.
    • Nonlinear dependencies of the dc current were observed with respect to damping constant, potential parameter, and ac force magnitude and frequency.

    Conclusions:

    • The study provides a comprehensive analysis of driven Brownian motion in periodic potentials.
    • The derived formulas and observed nonlinearities offer insights into particle dynamics.
    • The findings are applicable to systems exhibiting similar complex oscillatory and damping behaviors.