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- Title
Self-similar Langmuir collapse at critical dimension.
- Authors
Bergé, L.; Dousseau, PH.; Pelletier, G.; Pesme, D.
- Abstract
Two spherically symmetric versions of a self-similar collapse are investigated within the framework of the Zakharov equations, namely, one relative to a vectorial electric field and the other corresponding to a scalar modeling of the Langmuir field. Singular solutions of both of them depend on a linear time contraction rate Ξ(t) = V(t* – t), where t* and V = – Ξ denote, respectively, the collapse time and the constant collapse velocity. We show that under certain conditions, only the scalar model admits self-similar solutions, varying regularly as a function of the control parameter V from the subsonic (V ≪ 1) to the supersonic (V ≫ 1) regime.
- Publication
Laser & Particle Beams, 1991, Vol 9, Issue 2, p363
- ISSN
0263-0346
- Publication type
Article
- DOI
10.1017/S0263034600003402