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

Igor Aranson*, Baruch Meerson, Pavel V. Sasorov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


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 languageAmerican English
Pages (from-to)4337-4348
Number of pages12
JournalPhysical Review E
Issue number6
StatePublished - 1993


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