Statistical mechanics merger model for hydrodynamic instabilities

A. Rikanati, D. Oron, U. Alon, D. Shvarts

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The nonlinear growth of the multimode Rayleigh-Taylor (RT), Richtmyer-Meshkov (RM), and Kelvin-Helmholtz (KH) instabilities is treated by a similar statistical mechanics merger model, using bubbles as the elementary particle in the RM and RT instabilities and eddies in the KH instability. Two particle interaction is demonstrated and merger rates are calculated. Using a statistical merger model, the mixing front evolution scaling law is derived. For the RT bubble front height a scaling law of αAgt2, with α ≅ 0.05, is derived. For the RM bubble front, a power law of t0.4 is obtained for all Atwood numbers. For the KH case the mixing zone grows linearly with time through a mechanism of eddy merger. Good agreement with simulations and experiments is achieved.

Original languageEnglish
Pages (from-to)451-457
Number of pages7
JournalAstrophysical Journal, Supplement Series
Issue number2
StatePublished - 1 Apr 2000


  • Hydrodynamics
  • Instabilities

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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