Phase transition of surface models with intrinsic curvature

Abstract

It is reported that a surface model of Polyakov strings undergoes a first-order phase transition between smooth and crumpled (or branched polymer) phases. The Hamiltonian of the model contains the Gaussian term and a deficit angle term corresponding to the weight of the integration measure dX in the partition function.

arXiv comment6 pages with 7 figures, Eur. Phys. J. B (in press)

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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
• Monte Carlo simulations of a tethered membrane model on a disk with intrinsic curvature
• Shape transformation transitions of a tethered surface model
• 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
• Surface tension of membranes depending on the boundary shape
• First-order phase transition of triangulated surfaces on a spherical core
• Shape transformations of a model of self-avoiding triangulated surfaces of sphere topology
• Shape transformation transitions in a model of fixed-connectivity surfaces supported by skeletons
• Surface tension in an intrinsic curvature model with fixed one-dimensional boundaries