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arXiv · hep-th/9310136

Two Ising Models Coupled to 2-Dimensional Gravity

Mark Bowick·Marco Falcioni·Geoffrey Harris·Enzo Marinari
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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.

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Mark Bowick, Marco Falcioni, Geoffrey Harris, Enzo Marinari. 1995-02-28. Two Ising Models Coupled to 2-Dimensional Gravity. https://doi.org/10.1016/0550-3213(94)90350-6

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