Title: Hydrodynamic charge and heat transport on inhomogeneous curved spaces,
Abstract: We develop the theory of hydrodynamic charge and heat transport in strongly
interacting quasi-relativistic systems on manifolds with inhomogeneous spatial
curvature. In solid-state physics, this is analogous to strain disorder in the
underlying lattice. In the hydrodynamic limit, we find that the thermal and
electrical conductivities are dominated by viscous effects, and that the
thermal conductivity is most sensitive to this disorder. We compare the effects
of inhomogeneity in the spatial metric to inhomogeneity in the chemical
potential, and discuss the extent to which our hydrodynamic theory is relevant
for experimentally realizable condensed matter systems, including suspended
graphene at the Dirac point.