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Tracer diffusion in a dislocated lamellar system.

Victor Gurarie1, Alexander E Lobkovsky

  • 1Department of Physics, Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 1JP, United Kingdom.

Physical Review Letters
|May 15, 2002
PubMed
Summary
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Tracer particles move across lamellar systems via screw dislocations when diffusion is slow. Particle transport is ballistic with excess dislocations, but shows anomalous TlogT growth when dislocation charges balance, revealing complex diffusion dynamics.

Area of Science:

  • Physics
  • Materials Science
  • Physical Chemistry

Background:

  • Lamellar systems often display anisotropic diffusion, where movement within layers differs significantly from movement between layers.
  • Slow diffusion across lamellae necessitates understanding alternative transport mechanisms for enhanced material understanding.

Purpose of the Study:

  • To investigate the statistical properties of tracer particle transport across lamellar systems facilitated by screw dislocations.
  • To analyze the impact of dislocation charge on the nature of transverse transport.

Main Methods:

  • Theoretical calculation of statistical properties for tracer particle transport around screw dislocations.
  • Analysis of particle trajectories smoothed over dislocation core sizes.

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Main Results:

  • Transverse transport is ballistic when there is an excess of either positive or negative dislocations.
  • When the average dislocation charge is zero, the mean squared displacement of the tracer particle exhibits anomalous sub-diffusive behavior, growing as TlogT at large times.

Conclusions:

  • Screw dislocation encirclement provides a significant pathway for transverse transport in lamellar systems with slow inter-lamellar diffusion.
  • The nature of transverse transport is critically dependent on the net charge of dislocations, transitioning from ballistic to anomalous diffusion.