Parametric instability in dark molecular clouds

B. P. Pandey*, S. V. Vladimiro

*Corresponding author for this work

Research output: Contribution to journalArticle

16 Citations (Scopus)


The present work investigates the parametric instability of parallel propagating circularly polarized Alfvén (pump) waves in a weakly ionized molecular cloud. It is shown that the relative drift between the plasma particles gives rise to the Hall effect, resulting in the modified pump wave characteristics. Although the linearized fluid equations with periodic coefficients are difficult to solve analytically, it is shown that a linear transformation can remove the periodic dependence. The resulting linearized equations with constant coefficients are used to derive an algebraic dispersion relation. The growth rate of the parametric instability is a sensitive function to the amplitude of the pump wave as well as to the ratio of the pump and the modified dust-cyclotron frequencies. The instability is insensitive to the plasma ß. The results are applied to the molecular clouds.

Original languageEnglish
Pages (from-to)942-949
Number of pages8
JournalAstrophysical Journal
Issue number2 I
Publication statusPublished - 1 Aug 2007

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