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Type: 
Journal
Description: 
Collisionless plasmas in an arbitrary dynamical state are described by the Vlasov equation, which gives the time evolution of the probability density ρ (x, v). In this work we introduce a new analytical procedure to generate particular partial differential equations (PDEs) for an arbitrary macroscopic observable w (x, v) that can be expressed as a function of positions and velocities, without solving the time evolution of the probability itself. This technique, which we will call the" Ehrenfest procedure"(as it produces relations that are analogous to Ehrenfest's theorem in Quantum Mechanics), is based on the iterative application of the fluctuation-dissipation theorem and the recently proposed conjugate variables theorem (CVT) in order to eliminate the explicit dependence on ρ. In particular, we show how this formalism is applied to the Vlasov equation for collisionless plasmas, and derive a general evolution equation for the …
Publisher: 
Publication date: 
1 Jun 2018
Authors: 

Diego González, Abiam Tamburrini, Sergio Davis, Jalaj Jain, Gonzalo Gutiérrez

Biblio References: 
Volume: 1043 Issue: 1 Pages: 012008
Origin: 
JPhCS