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Driving particle current through narrow channels using a classical pump.

Kavita Jain1, Rahul Marathe, Abhishek Chaudhuri

  • 1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel.

Physical Review Letters
|February 1, 2008
PubMed
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We developed a classical pump model using a symmetric exclusion process. This pump generates a tunable direct current (dc) by modulating hopping rates with a phase difference, mimicking colloidal systems.

Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Non-equilibrium Systems

Background:

  • Colloidal suspensions are often subjected to external time-dependent forces.
  • Understanding particle transport in modulated systems is crucial for controlling colloidal behavior.
  • Exclusion processes provide a fundamental framework for studying interacting particle systems.

Purpose of the Study:

  • To investigate a novel classical pump mechanism in a symmetric exclusion process.
  • To explore the generation of directed transport in a system with time-modulated hopping rates.
  • To analyze the influence of phase differences on particle current.

Main Methods:

  • Simulations of a one-dimensional symmetric exclusion process.
  • Time-periodic modulation of hopping rates at two adjacent sites.

Related Experiment Videos

  • Development of a novel perturbative approach to derive the direct current (dc).

    • Main Results:

    • The system generates an oscillatory current with a nonzero dc value.
    • The direction of the dc current is controllable via the phase difference between modulated sites.
    • An analytical expression for the dc current was obtained through perturbation theory.

    Conclusions:

    • The studied model effectively acts as a classical pump for colloidal suspensions.
    • Phase control offers a method to direct particle flow in modulated systems.
    • The perturbative treatment provides a valuable tool for analyzing non-equilibrium transport phenomena.