Brownian vortexes

Bo Sun, Jiayi Lin, Ellis Darby, Alexander Y. Grosberg, David G. Grier

    Research output: Contribution to journalArticle

    Abstract

    Mechanical equilibrium at zero temperature does not necessarily imply thermodynamic equilibrium at finite temperature for a particle confined by a static but nonconservative force field. Instead, the diffusing particle can enter into a steady state characterized by toroidal circulation in the probability flux, which we call a Brownian vortex. The circulatory bias in the particle's thermally driven trajectory is not simply a deterministic response to the solenoidal component of the force but rather reflects interplay between advection and diffusion in which thermal fluctuations extract work from the nonconservative force field. As an example of this previously unrecognized class of stochastic heat engines, we consider a colloidal sphere diffusing in a conventional optical tweezer. We demonstrate both theoretically and experimentally that nonconservative optical forces bias the particle's fluctuations into toroidal vortexes whose circulation can reverse direction with temperature or laser power.

    Original languageEnglish (US)
    Article number010401
    JournalPhysical Review E
    Volume80
    Issue number1
    DOIs
    StatePublished - Aug 6 2009

    Fingerprint

    nonconservative forces
    Force Field
    field theory (physics)
    Fluctuations
    Optical Forces
    heat engines
    Optical Tweezers
    Thermodynamic Equilibrium
    thermodynamic equilibrium
    Advection
    Finite Temperature
    advection
    temperature
    Vortex
    Reverse
    Engine
    Heat
    trajectories
    vortices
    Trajectory

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

    Cite this

    Sun, B., Lin, J., Darby, E., Grosberg, A. Y., & Grier, D. G. (2009). Brownian vortexes. Physical Review E, 80(1), [010401]. https://doi.org/10.1103/PhysRevE.80.010401

    Brownian vortexes. / Sun, Bo; Lin, Jiayi; Darby, Ellis; Grosberg, Alexander Y.; Grier, David G.

    In: Physical Review E, Vol. 80, No. 1, 010401, 06.08.2009.

    Research output: Contribution to journalArticle

    Sun, B, Lin, J, Darby, E, Grosberg, AY & Grier, DG 2009, 'Brownian vortexes', Physical Review E, vol. 80, no. 1, 010401. https://doi.org/10.1103/PhysRevE.80.010401
    Sun B, Lin J, Darby E, Grosberg AY, Grier DG. Brownian vortexes. Physical Review E. 2009 Aug 6;80(1). 010401. https://doi.org/10.1103/PhysRevE.80.010401
    Sun, Bo ; Lin, Jiayi ; Darby, Ellis ; Grosberg, Alexander Y. ; Grier, David G. / Brownian vortexes. In: Physical Review E. 2009 ; Vol. 80, No. 1.
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