Hierarchy of Fluctuation-Dissipation Theorems for the Classical One-Component Plasma
Plasma Physics
2015-06-23 v2
Abstract
We have derived tractable cubic (p=3) and quartic (p=4) fluctuation-dissipation theorems (FDTs) for the classical one-component plasma in a form that links a single (p+1)-point dynamical structure function to a linear combination of pth-order density response functions amenable to calculation from model plasma kinetic equations. For p greater than or equal to 3, we note the emergence of "remainder" contributions comprised of clusters of lower-order dynamical structure functions which can be ultimately traded for response functions vis-a-vis the linear and quadratic FDTs. Our analysis paves the way for gaining a clear understanding of the structure of the FDT hierarchy.
Cite
@article{arxiv.1410.4889,
title = {Hierarchy of Fluctuation-Dissipation Theorems for the Classical One-Component Plasma},
author = {Kenneth Golden and Joshuah Heath},
journal= {arXiv preprint arXiv:1410.4889},
year = {2015}
}