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- W2953047064 abstract "A Monte Carlo (MC) study is performed to evaluate the surface tension $gamma $ 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 $gamma $ is calculated by keeping the total surface area $A$ constant during the MC simulations. In the evaluation of $gamma $, we use $A$ instead of the projected area $A_p$, which is unknown due to the fluctuation of the spherical surface without boundary. The pressure difference ${itDelta}p $ between the inner and the outer sides of the surface is also calculated by maintaining the enclosed volume constant. Using ${itDelta}p $ and the Laplace formula, we obtain the tension, which is considered to be equal to the frame tension $tau$ conjugate to $A_p$, and check whether or not $gamma $ is consistent with $tau$. We find reasonable consistency between $gamma$ and $tau$ in the region of sufficiently large bending rigidity $kappa$ or sufficiently large $A/N$. It is also found that $tau$ becomes constant in the limit of $A/Nto infty$ both in the tethered and fluid surfaces." @default.
- W2953047064 created "2019-06-27" @default.
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- W2953047064 date "2015-09-25" @default.
- W2953047064 modified "2023-09-23" @default.
- W2953047064 title "Surface tension and Laplace pressure in triangulated surface models for membranes without fixed boundary" @default.
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- W2953047064 doi "https://doi.org/10.48550/arxiv.1509.07580" @default.
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