Surface tension and Laplace pressure in triangulated surface models for membranes without fixed boundaryстатья
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Дата последнего поиска статьи во внешних источниках: 6 мая 2016 г.
Аннотация:A Monte Carlo (MC) study is performed to evaluate the surface tension γ of spherical membranes that may be regarded as the models of the lipid layers. We use the canonical surface model defined on the self-avoiding triangulated lattices. The surface tension γ is calculated by keeping the total surface area A constant during the MC simulations. In the evaluation of γ, we use A instead of the projected area Ap, which is unknown due to the fluctuation of the spherical surface without boundary. The pressure difference Δp between the inner and the outer sides of the surface is also calculated by maintaining the enclosed volume constant. Using Δp and the Laplace formula, we obtain the tension, which is considered to be equal to the frame tension τ conjugate to Ap, and check whether or not γ is consistent with τ. We find reasonable consistency between γ and τ in the region of sufficiently large bending rigidity κ or sufficiently large A / N. It is also found that τ becomes constant in the limit of A/N→∞ both in the tethered and fluid surfaces.