Crumpling transition in tethered surfaces
نویسنده
چکیده
We study the crumpling transition in tethered surfaces subject to different interactions, and provide numerical simulations for each case. Phantom tethered surfaces undergo a crumpling transition at finite bending rigidity κc. For κ < κc, the surface exhibits a crumpled phase, and the radius of gyration is Rg ∼ √ lnL where L describes the length of the surface; for κ > κc, the surface exhibits a flat phase, and Rg ∼ L. Self-avoiding tethered surfaces, however, do not appear to exhibit a crumpled phase even at zero bending rigidity. We also investigate the effect of introducing a van der Waals attraction between neighbouring sites.
منابع مشابه
Phase transitions of a tethered membrane model with intrinsic curvature on spherical surfaces with point boundaries
We found that the order for the crumpling transition of an intrinsic curvature model changes depending on the distance between two boundary vertices fixed on the surface of spherical topology. The model is a curvature one governed by an intrinsic curvature energy, which is defined on triangulated surfaces. It was already reported that the model undergoes a first-order crumpling transition witho...
متن کاملPhase transition of an extrinsic curvature model on tori
We show a numerical evidence that a tethered surface model with extrinsic curvature undergoes a first-order crumpling transition between the smooth phase and a nonsmooth phase on triangulated tori. The results obtained in this Letter together with the previous ones on spherical surfaces lead us to conclude that the tethered surface model undergoes a first-order transition on compact surfaces.
متن کاملThe Crumpling Transition Revisited
The “crumpling” transition, between rigid and crumpled surfaces, has been object of much discussion over the past years. The common lore is that such transition should be of second order. However, some lattice versions of the rigidity term on fixed connectivity surfaces seem to suggest that the transition is of higher order instead. While some models exhibit what appear to be lattice artifacts,...
متن کاملTriangular Lattice Foldings - a Transfer Matrix Study
Connection between discrete and continuum models of polymerized (tethered) surfaces has been investigated by applying a transfer matrix method to a discrete rigid-bond triangular lattice, which is allowed to fold on itself along its bonds in a two-dimensional embedding space. As its continuum counterpart, the model has an extensive entropy and the mean squared distance between two sites of a fo...
متن کاملThe Crumpling Transition of Dynamically Triangulated Random Surfaces
We present the crumpling transition in three-dimensional Euclidian space of dynamically triangulated random surfaces with edge extrinsic curvature and fixed topology of a sphere as well as simulations of a dynamically triangulated torus. We used longer runs than previous simulations and give new and more accurate estimates of critical exponents. Our data indicate a cusp singularity in the speci...
متن کامل