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Driven tracers in narrow channels.

J Cividini1, D Mukamel1, H A Posch2

  • 1Department of Physics of Complex Systems, Weizmann Institute of Science Rehovot, Israel 76100.

Physical Review. E
|February 18, 2017
PubMed
Summary
This summary is machine-generated.

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A driven tracer creates a current in a narrow channel, altering particle density and pressure. This study analyzes its behavior in different models, finding consistent results across systems like the simple symmetric exclusion process and hard disk gases.

Area of Science:

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

Background:

  • Driven tracers in confined geometries are crucial for understanding non-equilibrium phenomena.
  • The interaction between a tracer and a medium can induce collective particle motion and modify system properties.

Purpose of the Study:

  • To investigate the steady-state properties of a driven tracer in a narrow 2D channel.
  • To analyze and compare three models (SSEP, 1D SSEP with/without exchanges, hard disk gas) for their response to tracer motion.
  • To establish a correspondence between different physical models.

Main Methods:

  • Analysis of the simple symmetric exclusion process (SSEP) in 2D and 1D.
  • Application of mean-field theory and exact solutions.

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  • Numerical verification of analytical results.
  • Comparison with a gas of overdamped hard disks.

    • Main Results:

    • The tracer acts as a dipolar source, inducing an average velocity field in the bath particles.
    • The 1D SSEP with particle exchanges accurately models the tracer's behavior and density fields.
    • A systematic correspondence was found between SSEP parameters and hard disk gas behavior.

    Conclusions:

    • The study provides a unified framework for understanding driven tracers in confined systems.
    • The findings highlight the applicability of simplified models like the 1D SSEP to more complex systems.
    • The research offers insights into non-equilibrium statistical mechanics in reduced dimensions.