Nonvanishing string tension of elastic membrane models

Abstract

By using the grand canonical Monte Carlo simulations on spherical surfaces with two fixed vertices separated by the distance L, we find that the second-order phase transition changes to the first-order one when L is sufficiently large. We find that string tension σ\not= 0 in the smooth phase while σ\to 0 in the wrinkled phase.

10 pages with 6 figures

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Cited by in corpus (10)

• First-order phase transition in the tethered surface model on a sphere
• 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
• Grand Canonical simulations of string tension in elastic surface model
• Monte Carlo simulations of a tethered membrane model on a disk with intrinsic curvature
• Phase structure of a surface model on dynamically triangulated spheres with elastic skeletons
• Phase structure of intrinsic curvature models on dynamically triangulated disk with fixed boundary length
• 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
• Surface tension in an intrinsic curvature model with fixed one-dimensional boundaries