Phase structure of intrinsic curvature models on dynamically triangulated disk with fixed boundary length

Abstract

A first-order phase transition is found in two types of intrinsic curvature models defined on dynamically triangulated surfaces of disk topology. The intrinsic curvature energy is included in the Hamiltonian. The smooth phase is separated from a non-smooth phase by the transition. The crumpled phase, which is different from the non-smooth phase, also appears at sufficiently small curvature coefficient $\alpha$. The phase structure of the model on the disk is identical to that of the spherical surface model, which was investigated by us and reported previously. Thus, we found that the phase structure of the fluid surface model with intrinsic curvature is independent of whether the surface is closed or open.

9 pages with 10 figures

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Cited by in corpus (4)

• Phase structure of a surface model on dynamically triangulated spheres with elastic skeletons
• 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
• Shape transformation transitions in a model of fixed-connectivity surfaces supported by skeletons