First-order phase transition of the tethered membrane model on spherical surfaces

Abstract

We found that three types of tethered surface model undergo a first-order phase transition between the smooth and the crumpled phase. The first and the third are discrete models of Helfrich, Polyakov, and Kleinert, and the second is that of Nambu and Goto. These are curvature models for biological membranes including artificial vesicles. The results obtained in this paper indicate that the first-order phase transition is universal in the sense that the order of the transition is independent of discretization of the Hamiltonian for the tethered surface model.

22 pages with 14 figures

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Cited by in corpus (22)

• Phase transition of triangulated spherical surfaces with elastic skeletons
• Phase structure of a surface model on dynamically triangulated spheres with elastic skeletons
• Shape transformations of a compartmentalized fluid surface
• Phase transition of compartmentalized surface models
• Monte Carlo studies of triangulated spherical surfaces in the two-dimensional space
• Shape transformation transitions of a tethered surface model
• Possible effects of tilt order on phase transitions of a fixed connectivity 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
• Flat histogram Monte Carlo simulations of triangulated fixed-connectivity surface models
• 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
• Spherical surface models with directors
• Phase structure of a surface model with many fine holes
• Phase transition of an extrinsic curvature model on tori
• First-order phase transition of triangulated surfaces on a spherical core
• Shape transformation transitions in a model of fixed-connectivity surfaces supported by skeletons
• Phase Transition of Extrinsic Curvature Surface Model on a Disk
• In-plane deformation of a triangulated surface model with metric degrees of freedom
• Surface tension in an intrinsic curvature model with fixed one-dimensional boundaries
• Shape transformations of a model of self-avoiding triangulated surfaces of sphere topology