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Abstract
© 2016 Author(s). We present a numerical solution of the quantum LenardBalescu equation using a spectral method, namely an expansion in Laguerre polynomials. This method exactly conserves both particles and kinetic energy and facilitates the integration over the dielectric function. To demonstrate the method, we solve the equilibration problem for a spatially homogeneous onecomponent plasma with various initial conditions. Unlike the more usual Landau/FokkerPlanck system, this method requires no input Coulomb logarithm; the logarithmic terms in the collision integral arise naturally from the equation along with the nonlogarithmic orderunity terms. The spectral method can also be used to solve the Landau equation and a quantum version of the Landau equation in which the integration over the wavenumber requires only a lower cutoff. We solve these problems as well and compare them with the full LenardBalescu solution in the weakcoupling limit. Finally, we discuss the possible generalization of this method to include spatial inhomogeneity and velocity anisotropy.
Original language  English 

Article number  092119 
Journal  Physics of Plasmas 
Volume  23 
Issue number  9 
DOIs  
Publication status  Published  1 Sept 2016 
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 1 Finished

Análisis numérico para la dinámica de fluidos complejos y modelos variacionales del procesamiento de imágenes
Serna, S. & Marquina Vila, A.
Ministry of Economy and Competitiveness (MINECO)
1/01/15 → 31/12/18
Project: Research Projects and Other Grants