2007/06/14 by Hiroshi Koibuchi · 4 citations
Mathematics · Physics and Astronomy · #Bending #Canonical ensemble #Condensed matter physics #Geometry #Hamiltonian (control theory) #Materials science #Mathematical optimization #Mathematics #Mechanics #Monte Carlo method #Phase transition #Physics #Polygon mesh #Scientific Research and Discoveries #Statistical physics #Stochastic processes and statistical mechanics #Surface (topology) #Surface energy #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physleta.2007.06.023
published in Physics Letters A 371(4), 278-284 (Elsevier BV) · 13 pages with 9 figures
arxiv created 2007/06/14 · openalex publication_date 2007/06/18 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.