Hierarchy of Fluctuation‐Dissipation Theorems for the Classical One‐Component Plasma

Abstract

AbstractWe 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 p th‐order density response functions amenable to calculation from model plasma kinetic equations. For p ≥ 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‐á‐vis the linear and quadratic FDTs. Our analysis provides insight into the structure of the FDT hierarchy. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)