  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.
