Phys. Rev. E 53, 5800–5807 (1996)Bending-rigidity-driven transition and crumpling-point scaling of lattice vesiclesReceived 11 August 1995; published in the issue dated June 1996 The crumpling transition of three-dimensional (3D) lattice vesicles subject to a bending fugacity ρ=exp(-κ/kBT) is investigated by Monte Carlo methods in a grand canonical framework. By also exploiting conjectures suggested by previous rigorous results, a critical regime with scaling behavior in the universality class of branched polymers is found to exist for ρ≳ρc. For ρ<ρc the vesicles undergo a first-order transition that has remarkable similarities to the line of droplet singularities of inflated 2D vesicles. At the crumpling point (ρ=ρc), which has a tricritical character, the average radius and the canonical partition function of vesicles with n plaquettes scale as nνc and n-θc, respectively, with νc=0.4825±0.0015 and θc=1.78±0.03. These exponents indicate a new class, distinct from that of branched polymers, for scaling at the crumpling point. © 1996 The American Physical Society. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.53.5800
DOI:
10.1103/PhysRevE.53.5800
PACS:
64.60.Fr, 05.50.+q, 36.20.-r, 82.65.Dp
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