Geoffrey Harris

The phase diagram of fluid random surfaces with extrinsic curvature

Abstract We present the results of a large-scale simulation of dynamically triangulated random surfaces with extrinsic curvature embedded in three-dimensional flat space. We measure a variety of local observables and use a finite-size scaling analysis to characterize as much as possible the regime of crossover from crumpled to smooth surfaces.

Fluid random surfaces with extrinsic curvature. II

Abstract We present the results of an extension of our previous work on large-scale simulations of dynamically triangulated toroidal random surfaces embedded in R 3 with extrinsic curvature. We find that the extrinsic-curvature specific heat peak ceases to grow on lattices with more than 576 nodes and that the location of the peak λ c also stabilizes. The evidence for a true crumpling transition is still weak. If we assume it exists we can say that the finite-size scaling exponent α / ηd is very close to zero or negative. On the other hand our new data does rule out the observed peak as being a finite-size artifact of the persistence length becoming comparable to the extent of the lattice.

Strings with extrinsic curvature: An analysis of the crossover regime

Abstract We present the results of a set of Monte Carlo simulations of Dynamically Triangulated Random Surfaces embedded in three dimensions with an extrinsic curvature dependent action. We analyze several observables in the crossover regime and discuss whether or not our observations are indicative of the presence of a phase transition.

Two Ising models coupled to two-dimensional gravity

Abstract To investigate the properties of c = 1 matter coupled to 2d-gravity we have performed large-scale simulations ot two copies of the Ising model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents using finite-size scaling. We show explicity how algorithmic 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 dressed.

Critical and topological properties of cluster boundaries in the 3D Ising model

We analyze the behavior of the ensemble of surface boundaries of the critical clusters at

Percolation on strings and the cover-up of the c = 1 disaster

T=T_c

Self-avoiding surfaces in the 3d Ising model

in the

Critical slowing down of cluster algorithms for Ising models coupled to 2-d gravity

3d

The Phenomenology of Strings and Clusters in the 3-d Ising Model

Ising model. We find that

Multiple Ising models coupled to 2-d gravity: a CSD analysis

N_g(A)