2006/06/27 by Hiroshi Koibuchi, H. Koibuchi
Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Curvature #Geometry #Hamiltonian (control theory) #Mathematical Dynamics and Fractals #Mathematics #Mean curvature #Phase (matter) #Phase transition #Physics #Quantum mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Topology (electrical circuits) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2006-00287-5
published as Euro. Phys. J. B52 (2006) 265-273 · 9 pages with 10 figures
arxiv created 2006/06/27 · openalex publication_date 2006/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A first-order phase transition is found in two types of intrinsic curvature models defined on dynamically triangulated surfaces of disk topology. The intrinsic curvature energy is included in the Hamiltonian. The smooth phase is separated from a non-smooth phase by the transition. The crumpled phase, which is different from the non-smooth phase, also appears at sufficiently small curvature coefficient α. The phase structure of the model on the disk is identical to that of the spherical surface model, which was investigated by us and reported previously. Thus, we found that the phase structure of the fluid surface model with intrinsic curvature is independent of whether the surface is closed or open.