Phase transitions of a tethered surface model with a deficit angle term

Abstract

Nambu-Goto model is investigated by using the canonical Monte Carlo simulations on fixed connectivity surfaces of spherical topology. Three distinct phases are found: crumpled, tubular, and smooth. The crumpled and the tubular phases are smoothly connected, and the tubular and the smooth phases are connected by a discontinuous transition. The surface in the tubular phase forms an oblong and one-dimensional object similar to a one-dimensional linear subspace in the Euclidean three-dimensional space R^3. This indicates that the rotational symmetry inherent in the model is spontaneously broken in the tubular phase, and it is restored in the smooth and the crumpled phases.

arXiv comment6 pages with 6 figures

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Cited by in corpus (13)

• First-order phase transition of the tethered membrane model on spherical surfaces
• Anomalous diffusion of a tethered membrane: A Monte Carlo investigation
• 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
• Phase structure of a surface model on dynamically triangulated spheres with elastic skeletons
• 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
• Phase transitions of an intrinsic curvature model on dynamically triangulated spherical surfaces with point boundaries
• Phase transition of an extrinsic curvature model on tori
• Shape transformations of a model of self-avoiding triangulated surfaces of sphere topology
• 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