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The Diffusion of Passive Tracers in Laminar Shear Flow
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Diffusion of active tracers in fluctuating fields.

David S Dean1, Vincent Démery

  • 1Laboratoire de Physique Théorique-IRSAMC, Université de Toulouse, CNRS, 31062 Toulouse, France.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|May 27, 2011
PubMed
Summary
This summary is machine-generated.

We studied particle diffusion in a fluctuating scalar field, considering coupled particle-field dynamics. Exact results for the diffusion constant were found in the adiabatic limit and via perturbation theory.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Soft Matter Physics

Background:

  • Particle diffusion in fluctuating fields is crucial in various physical systems.
  • Existing studies often neglect the coupling between particle position and field dynamics.

Purpose of the Study:

  • To investigate particle diffusion in a fluctuating scalar field where particle position is coupled to field dynamics.
  • To derive exact and perturbative results for the diffusion constant.

Main Methods:

  • Analysis of advection-diffusion in random fields with coupled dynamics.
  • Derivation of exact results in the adiabatic limit (field dynamics >> particle diffusion).
  • Perturbative calculations in the weak coupling limit using Kubo-type relations.

Main Results:

  • Exact solutions for the diffusion constant in the adiabatic limit of dynamical Gaussian fields.
  • Perturbative computation of the diffusion constant for weak particle-field interactions.
  • Development of a solvable toy model interpolating between adiabatic and quenched field limits.

Conclusions:

  • The study provides a comprehensive analysis of particle diffusion in dynamical scalar fields.
  • The derived results are applicable to diverse physical systems, including protein diffusion and magnetic field dynamics.
  • The developed toy model offers a valuable tool for understanding diffusion across different field dynamics regimes.