  In order to compare theoretical calculations of thermal fluctuations of
conserved quantities, such as charge susceptibilities or the specific heat, to
experimentally measured correlations and fluctuations in heavy ion collisions,
one must confront the reality of changing conditions within the collision
environment, and transport of conserved quantities within the finite duration
of the expansion and dissolution of the reaction. In previous work,
fluctuations of conserved charges from lattice calculations, where charge is
allowed to fluctuate within the designated volume consistent with the grand
canonical ensemble, was linked to correlations in heavy-ion collisions, which
accounted for the finite time with which to transport absolutely conserved
quanatities. In this case details of the correlations were related to the
evolution of the susceptibility. In this work, this paradigm is extended to
compare fluctuations of momentum or energy to transverse energy correlations
that can be measured in heavy-ion collisions. The sensitivity of these
correlations to the equation of state, viscosity and diffusion is illustrated
by considering simple models without transverse expansion. Only correlations in
relative spatial rapidity are discussed here, but the prospects for extending
these ideas to realistic calculations and for making realistic connections with
experiment are discussed.
