NPAC Technical Report SCCS-540
Two Ising Models Coupled to 2-Dimensional Gravity
Mark Bowick, Marco Falcioni, Geoffrey Harris, Enzo Marinari
Submitted October 01 1993
Abstract
To investigate the properties of $c=1$ matter coupled to
$2$d{--}gravity we have performed large-scale simulations of two
copies of the Ising Model on a dynamical lattice. We measure spin
susceptibility and percolation critical exponents using finite-size
scaling. We show explicitly how logarithmic corrections are needed
for a proper comparison with theoretical exponents. We also exhibit
correlations, mediated by gravity, between the energy and magnetic
properties of the two Ising species. The prospects for extending this
work beyond $c=1$ are addressed.