Strings with extrinsic curvature: An analysis of the crossover regime☆
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Cited by (25)
Phase transitions of a tethered membrane model on a torus with intrinsic curvature
2006, Physics Letters, Section A: General, Atomic and Solid State PhysicsCitation Excerpt :Recently, it has been growing that the concern with elastic surface models of Helfrich and Polyakov–Kleinert [1–5]. A considerable number of studies have been conducted on the phase transition between the smooth phase and the crumpled one over the past two decades [6–36]. Intrinsic curvature models were first studied by Baillie et al. in [38–41].
First-order phase transition of the tethered membrane model on spherical surfaces
2006, Nuclear Physics BCitation Excerpt :Tethered surface models are defined on triangulated fixed connectivity surfaces representing polymerized biological membranes or membranes in the gel phase [7], and they are classified into a major class of the HPK model [15–26]. Fluid surface models are considered a different class of the HPK model defined on dynamically triangulated surfaces representing these biological membranes in the fluid phase, however, we will not discuss the fluid surface model in this paper [27–34]. However, it has not yet been clarified whether the order of phase transition depends on the discretization of the Hamiltonian.
Monte Carlo simulations of a tethered membrane model on a disk with intrinsic curvature
2005, Physics Letters, Section A: General, Atomic and Solid State PhysicsNon-vanishing string tension of elastic membrane models
2004, Physics Letters, Section A: General, Atomic and Solid State PhysicsGrand canonical Monte Carlo simulations of elastic membranes with fluidity
2003, Physics Letters, Section A: General, Atomic and Solid State PhysicsMonte Carlo simulations of tensionless membranes
2003, Physics Letters, Section A: General, Atomic and Solid State Physics
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presented by G. Harris