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Relative spatial diffusion in turbulent media

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  • Seki, Kazuhiko
  • Kitahara, Kazuo
  • Nicolis, Grégoire

Abstract

Starting from the Langevin equation a nonlinear evolution equation describing the mean square distance of initially close tagged particles in a turbulent medium is obtained. The equation is the same as that derived for a turbulent plasma by Misguich and Balescu using renormalized kinetic theory. The approach is extended to incorporate stable drift in connection with the diffusion of macro particles in a turbulent fluid. The initial ≈t3 and intermediate exponential growth of the mean square distance subsist even under the presence of stable drift in agreement with many confirmed observations.

Suggested Citation

  • Seki, Kazuhiko & Kitahara, Kazuo & Nicolis, Grégoire, 1994. "Relative spatial diffusion in turbulent media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 209(3), pages 369-384.
    • Handle: RePEc:eee:phsmap:v:209:y:1994:i:3:p:369-384
    DOI: 10.1016/0378-4371(94)90190-2
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