Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Diffusion process with two reflecting barriers in a time-dependent potential.

Elisabeth Mayr¹, Michael Schulz, Peter Reineker

¹Institute of Theoretical Physics, University of Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany. elisabeth.mayr@uni-ulm.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 7, 2007

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

Discovery colleges in youth mental health systems: developmentally adapted recovery-oriented learning environments.

International journal of mental health systems·2026

Same author

Consensus statement on microglial and macrophage functions in gliomas.

Acta neuropathologica·2026

Same author

A transcriptomic microglia taxonomy across mouse and human pathologies.

Nature immunology·2026

Same author

A Density Functional Theory and Semiempirical Framework for Trajectory Surface Hopping on Extended Systems.

Journal of chemical theory and computation·2025

Same author

Glioma‑associated microglia and macrophages as a potential target for mTOR inhibition in glioblastoma.

Molecular medicine reports·2025

Same author

Spectral fingerprinting of aqueous glucose with ultra-broadband vibrational sum-frequency generation spectroscopy at bio-relevant low concentration.

Optics express·2025

Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

See all related articles

We studied a driven Brownian particle confined by boundaries. The particle

Area of Science:

Statistical Physics
Non-equilibrium Systems
Computational Physics

Background:

Brownian motion describes random particle movement.
Confined systems exhibit unique dynamics.
External forces alter particle behavior.

Purpose of the Study:

Investigate Brownian particle dynamics under oscillating force and boundaries.
Analyze the time-asymptotic regime of particle motion.
Understand resonancelike phenomena in particle response.

Main Methods:

Solving the Fokker-Planck equation.
Utilizing the finite-element method for numerical solutions.
Focusing on the mean position's dynamics.

Main Results:

Related Experiment Videos

Observed resonancelike behavior in the particle's mean position amplitude and dynamical shift.
Response is dependent on external force strength and diffusion coefficient.
Phenomena observed in specific parameter regimes.

Conclusions:

Heuristic explanations provided for observed numerical results.
Qualitative estimates derived for system behavior.
Demonstrated complex dynamics in driven, confined Brownian systems.