Monte Carlo simulations of a tethered membrane model on a disk with intrinsic curvature

Abstract

A first-order phase transition separating the smooth phase from the crumpled one is found in a fixed connectivity surface model defined on a disk. The Hamiltonian contains the Gaussian term and an intrinsic curvature term.

10 pages with 6 figures

References in corpus (4)

• First-order phase transition of fixed connectivity surfaces
• Phase transition of surface models with intrinsic curvature
• Phase transitions of a tethered surface model with a deficit angle term
• Nonvanishing string tension of elastic membrane models

Cited by in corpus (10)

• First-order phase transition of the tethered membrane model on spherical surfaces
• Phase transitions of a tethered membrane model on a torus with intrinsic curvature
• Phase structure of intrinsic curvature models on dynamically triangulated disk with fixed boundary length
• Phase transitions of an intrinsic curvature model on dynamically triangulated spherical surfaces with point boundaries
• Spherical surface models with directors
• Phase transition of an extrinsic curvature model on tori
• First-order phase transition of triangulated surfaces on a spherical core
• Shape transformations of a model of self-avoiding triangulated surfaces of sphere topology
• Phase Transition of Extrinsic Curvature Surface Model on a Disk
• Surface tension in an intrinsic curvature model with fixed one-dimensional boundaries