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Self-similar Langmuir collapse at critical dimension

Published online by Cambridge University Press:  09 March 2009

L. Bergé ,
PH. Dousseau ,
G. Pelletier  and
D. Pesme
L. Bergé
Affiliation:
G.I.L.M.T.-Centre de Physique Atomique de Toulouse, U.R.A. 277 du C.N.R.S., Université P. Sabatier, 118 route de Narbonne, 31062 Toulouse cedex, France
PH. Dousseau
Affiliation:
G.I.L.M.T.-Centre de Physique Atomique de Toulouse, U.R.A. 277 du C.N.R.S., Université P. Sabatier, 118 route de Narbonne, 31062 Toulouse cedex, France
G. Pelletier
Affiliation:
G.I.L.M.T.-Centre de Physique Atomique de Toulouse, U.R.A. 277 du C.N.R.S., Université P. Sabatier, 118 route de Narbonne, 31062 Toulouse cedex, France
D. Pesme
Affiliation:
G.I.L.M.T.-Centre de Physique Atomique de Toulouse, U.R.A. 277 du C.N.R.S., Université P. Sabatier, 118 route de Narbonne, 31062 Toulouse cedex, France
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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.

Type
Research Article
Information
Laser and Particle Beams , Volume 9 , Issue 2 , June 1991 , pp. 363 - 370
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

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