2005
DOI: 10.1007/s10582-005-0097-8
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Kinetics of the Raman instability in laser plasma

Abstract: The phase-space evolution in a non-relativistic and homogeneous laser plasma in the presence of the stimulated Raman scattering is studied. Transform method is used for a solution of the set of partial differential equations which consists of the Vlasov equation and of the full set of Maxwell equations in a 1D model. Numerical instability of the Fourier-Hermite representation is described and discussed. To overcome numerical instabilities during the simulation, a simplified Fokker-Planck collision term is empl… Show more

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Cited by 7 publications
(2 citation statements)
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“…(1)-(4) is a closed set of equations, which was solved numerically by the transform method [8,9]. Even if we are aware of more modern methods to solve the Euler-Vlasov system in the phase space [10], which is less computationally demanding and achieves a stabilization by averaging over the numerical grid, we resorted to the transform method, since the stabilization by the averaging is at the cost of entropy non-conservation.…”
Section: Physical Modelmentioning
confidence: 99%
“…(1)-(4) is a closed set of equations, which was solved numerically by the transform method [8,9]. Even if we are aware of more modern methods to solve the Euler-Vlasov system in the phase space [10], which is less computationally demanding and achieves a stabilization by averaging over the numerical grid, we resorted to the transform method, since the stabilization by the averaging is at the cost of entropy non-conservation.…”
Section: Physical Modelmentioning
confidence: 99%
“…with trapped particle instability) and thus complicate the physical situation. For a more detailed information see [4]. …”
Section: Introductionmentioning
confidence: 99%