  We report a preliminary numerical study by kinetic Monte Carlo simulation of
the dynamics of phase separation following a quench from high to low
temperature in a system with a single, conserved, scalar order parameter (a
kinetic Ising ferromagnet) confined to a hyperbolic lattice. The results are
compared with simulations of the same system on two different, Euclidean
lattices, in which cases we observe power-law domain growth with an exponent
near the theoretically known value of 1/3. For the hyperbolic lattice we
observe much slower domain growth, consistent to within our current accuracy
with power-law growth with a much smaller exponent near 0.13. The paper also
includes a brief introduction to non-Euclidean lattices and their mapping to
the Euclidean plane.
