Grand Canonical simulations of string tension in elastic surface model

Abstract

We report a numerical evidence that the string tension σcan be viewed as an order parameter of the phase transition, which separates the smooth phase from the crumpled one, in the fluid surface model of Helfrich and Polyakov-Kleinert. The model is defined on spherical surfaces with two fixed vertices of distance L. The string tension σis calculated by regarding the surface as a string connecting the two points. We find that the phase transition strengthens as L is increased, and that σvanishes in the crumpled phase and non-vanishes in the smooth phase.

7 pages with 7 figures

References in corpus (6)

• The Statistical Mechanics of Membranes
• Universality Classes of Self-Avoiding Fixed-Connectivity Membranes
• Quantum Statistical Mechanics of Nonrelativistic Membranes: Crumpling Transition at Finite Temperature
• Spiky Phases of Smooth Membranes. Implications for Smooth Strings
• Nonvanishing string tension of elastic membrane models
• Fixed-Connectivity Membranes

Cited by in corpus (13)

• 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 transition of triangulated spherical surfaces with elastic skeletons
• Phase structure of a surface model on dynamically triangulated spheres with elastic skeletons
• Phase transition of compartmentalized surface models
• Shape transformation transitions of a tethered surface model
• Phase transitions in a fluid surface model with a deficit angle term
• Phase structure of intrinsic curvature models on dynamically triangulated disk with fixed boundary length
• Collapsing transition of spherical tethered surfaces with many holes
• Phase transitions of an intrinsic curvature model on dynamically triangulated spherical surfaces with point boundaries
• Phase transition of meshwork models for spherical membranes
• Surface tension in an intrinsic curvature model with fixed one-dimensional boundaries
• Shape transformation transitions in a model of fixed-connectivity surfaces supported by skeletons