Nonlinear radiative-condensation instability and pattern formation: One-dimensional dynamics

Igor Aronson, Baruch Meerson, Pavel V. Sasorov

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Abstract

Nonlinear evolution of the radiative-condensation instability is investigated in the intermediate-wavelength limit, when the growth rate is maximal. The dynamics of a confined plasma is considered. This paper treats the planar geometry. Nonlinear reduced equations are derived for the instability, which account for the nonlocal feedback resulting from mass conservation and the finite size of the system. For a bistable heating-cooling function, it is shown that, in contrast to a number of previous studies where the isobaricity condition was employed, one-dimensional coherent patterns (spatial coexistence of two locally stable thermal equilibria, cool and hot) persist for a very long time.

Original languageEnglish (US)
Pages (from-to)4337-4348
Number of pages12
JournalPhysical Review E
Volume47
Issue number6
DOIs
Publication statusPublished - Jan 1 1993

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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