GRAND-CANONICAL SIMULATION OF 2-DIMENSIONAL SIMPLICIAL GRAVITY

The string susceptibility exponents of dynamically triangulated 2-dime nsional surfaces with various topologies, such as a sphere, torus and double-torus, were calculated using the grand-canonical Monte Carlo me thod. These simulations were made for surfaces coupled to d-Ising spin s (d = 0, 1, 2, 3, 5). In each simulation the area of surface was cons trained to within 1000 to 3000 triangles, while maintaining the detail ed-balance condition. The numerical results exhibit excellent agreemen t with theoretical predictions as long as d less than or equal to 2.