Numerical solution of the quantum Lenard-Balescu equation for a non-degenerate one-component plasma

Simple item page
dc.citation.issue9
dc.citation.rankM22
dc.citation.spage092119
dc.citation.volume23
dc.contributor.authorScullard, Christian R.
dc.contributor.authorBelt, Andrew P.
dc.contributor.authorFennell, Susan C.
dc.contributor.authorJanković, Marija R.
dc.contributor.authorNg, Nathan
dc.contributor.authorSerna, Susana
dc.contributor.authorGraziani, Frank R.
dc.date.accessioned2023-05-09T11:44:34Z
dc.date.available2023-05-09T11:44:34Z
dc.date.issued2016-09-29
dc.description.abstractWe present a numerical solution of the quantum Lenard-Balescu 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 one-component plasma with various initial conditions. Unlike the more usual Landau/Fokker-Planck system, this method requires no input Coulomb logarithm; the logarithmic terms in the collision integral arise naturally from the equation along with the non-logarithmic order-unity 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 Lenard-Balescu solution in the weak-coupling limit. Finally, we discuss the possible generalization of this method to include spatial inhomogeneity and velocity anisotropy. Published by AIP Publishing.
dc.identifier.doi10.1063/1.4963254
dc.identifier.issn1070-664X
dc.identifier.issn1089-7674
dc.identifier.scopus2-s2.0-84989324686
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/17
dc.identifier.wos000385633200024
dc.language.isoen
dc.publisherAIP Publishing
dc.relation.ispartofPhysics of Plasmas
dc.relation.ispartofabbrPhys. Plasmas
dc.rightsopenAccess
dc.titleNumerical solution of the quantum Lenard-Balescu equation for a non-degenerate one-component plasma
dc.typejournal-article
dc.type.versionpublishedVersion
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
092119_1_online.pdf
Size:
2.35 MB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Publications