Phase transition of an extrinsic curvature model on tori

Abstract

We show a numerical evidence that a tethered surface model with extrinsic curvature undergoes a first-order crumpling transition between the smooth phase and a non-smooth phase on triangulated tori. The results obtained in this Letter together with the previous ones on spherical surfaces lead us to conclude that the tethered surface model undergoes a first-order transition on compact surfaces.

13 pages with 10 figures

References in corpus (8)

• First-order transition of tethered membranes in 3d space
• First-order phase transition in the tethered surface model on a sphere
• First-order phase transition of fixed connectivity surfaces
• First-order phase transition of the tethered membrane model on spherical surfaces
• Phase transitions of a tethered surface model with a deficit angle term
• Phase transition of surface models with intrinsic curvature
• Phase transitions of a tethered membrane model on a torus with intrinsic curvature
• Monte Carlo simulations of a tethered membrane model on a disk with intrinsic curvature

Cited by in corpus (1)

• Phase Transition of Extrinsic Curvature Surface Model on a Disk