On the Transition from Crystalline to Dynamically Triangulated Surfaces

Abstract

We consider methods of interpolating between the crystalline and dynamically triangulated random surface models. We argue that actions based on the deviation from six of the coordination number at a site are inadequate and propose an alternative based on Alexander moves. Two simplified models, one of which has a phase transition and the other of which does not, are discussed.

6 pages plain TeX and 5 encapsulated postscript figures, OUTP-93/17P

References in corpus (3)

• The Theory of Dynamical Random Surfaces with Extrinsic Curvature
• The Phase Diagram of Fluid Random Surfaces with Extrinsic Curvature
• On the Crumpling Transition in Crystalline Random Surfaces

Cited by in corpus (6)

• Phase transitions of a tethered membrane model on a torus with intrinsic curvature
• Phase transition of surface models with intrinsic curvature
• Phase transitions of a tethered surface model with a deficit angle term
• Phase transitions in a fluid surface model with a deficit angle term
• Phase transitions of an intrinsic curvature model on dynamically triangulated spherical surfaces with point boundaries
• Branched polymers, complex spins and the freezing transition