Phase structure of a spherical surface model on fixed connectivity meshes

Abstract

An elastic surface model is investigated by using the canonical Monte Carlo simulation technique on triangulated spherical meshes. The model undergoes a first-order collapsing transition and a continuous surface fluctuation transition. The shape of surfaces is maintained by a one-dimensional bending energy, which is defined on the mesh, and no two-dimensional bending energy is included in the Hamiltonian.

13 pages with 9 figures

References in corpus (4)

• Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes
• Phase transition of triangulated spherical surfaces with elastic skeletons
• Phase structure of a surface model on dynamically triangulated spheres with elastic skeletons
• Phase transition of compartmentalized surface models

Cited by in corpus (4)

• Shape transformation transitions of a tethered surface model
• Non-trivial effect of the in-plane shear elasticity on the phase transitions of fixed-connectivity meshwork models
• Spherical surface models with directors
• Surface tension in an intrinsic curvature model with fixed one-dimensional boundaries