Open AccessRenormalized dissipation in plasmas with finite collisionality
Author(s) -
Steve Parker,
Daniele Carati
Publication year - 1995
Language(s) - English
Resource type - Reports
DOI - 10.2172/64168
Subject(s) - collisionality , boltzmann equation , physics , truncation (statistics) , hermite polynomials , plasma , nonlinear system , plasma modeling , boltzmann constant , dissipation , space (punctuation) , classical mechanics , statistical physics , quantum electrodynamics , mathematical analysis , mathematics , quantum mechanics , tokamak , linguistics , statistics , philosophy
A nonlinear truncation procedure for Fourier-Hermite expansion of Boltzmann-type plasma equations is presented which eliminates fine velocity scale, taking into account its effect on coarser scales. The truncated system is then transformed back to (x, v) space which results in a renormalized Boltzmann equation. The resulting equation may allow for coarser velocity space resolution in kinetic simulations while reducing to the original Boltzmann equation when fine velocity scales are resolved. To illustrate the procedure, renormalized equations are derived for one dimensional electrostatic plasmas in which collisions are modeled by the Lenard-Bernstein operator