Phase transition of compartmentalized surface models

Abstract

Two types of surface models have been investigated by Monte Carlo simulations on triangulated spheres with compartmentalized domains. Both models are found to undergo a first-order collapsing transition and a first-order surface fluctuation transition. The first model is a fluid surface one. The vertices can freely diffuse only inside the compartments, and they are prohibited from the free diffusion over the surface due to the domain boundaries. The second is a skeleton model. The surface shape of the skeleton model is maintained only by the domain boundaries, which are linear chains with rigid junctions. Therefore, we can conclude that the first-order transitions occur independent of whether the shape of surface is mechanically maintained by the skeleton (= the domain boundary) or by the surface itself.

10 pages with 16 figures

References in corpus (9)

• Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
• A New Approach to Spin Glass Simulations
• The Statistical Mechanics of Membranes
• The Theory of Dynamical Random Surfaces with Extrinsic Curvature
• First-order transition of tethered membranes in 3d space
• First-order phase transition in the tethered surface model on a sphere
• First-order phase transition of the tethered membrane model on spherical surfaces
• Grand Canonical simulations of string tension in elastic surface model
• Phase transition of triangulated spherical surfaces with elastic skeletons

Cited by in corpus (7)

• Shape transformation transitions of a tethered surface model
• Phase structure of a spherical surface model on fixed connectivity meshes
• Phase transitions in a fluid surface model with a deficit angle term
• Phase transition of meshwork models for spherical membranes
• Phase structure of a surface model with many fine holes
• Shape transformation transitions in a model of fixed-connectivity surfaces supported by skeletons
• Shape transformations of a model of self-avoiding triangulated surfaces of sphere topology