2006/07/10 by Hiroshi Koibuchi, H. Koibuchi, Koibuchi, H.
Physics and Astronomy · #FOS: Physical sciences #Micro and Nano Robotics #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0607224
10 pages with 7 figures
arxiv created 2006/07/10 · openalex publication_date 2006/07/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Dynamically triangulated surface model is found to undergo a first-order crumpling transition between the smooth phase and a crumpled phase. Triangulated spheres are divided into compartmentalized domains, whose boundary bonds remain unflipped in the Monte Carlo simulations. 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 violation of reparametrization invariance of the Hamiltonian is a reason for the existence of the long-range order in the fluid surface model.