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Title of Journal: J Math Chem

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Abbravation: Journal of Mathematical Chemistry

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Springer International Publishing

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DOI

10.1002/chin.201443073

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1572-8897

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Surface tension and Laplace pressure in triangulat

Authors: Hiroshi Koibuchi Andrey Shobukhov Hideo Sekino
Publish Date: 2015/09/28
Volume: 54, Issue: 2, Pages: 358-374
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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 selfavoiding 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 varDelta p between the inner and the outer sides of the surface is also calculated by maintaining the enclosed volume constant Using varDelta 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/Nrightarrow infty both in the tethered and fluid surfacesThis work is supported in part by the GrantinAid for Scientific Research C Number 26390138 We acknowledge the support of the Promotion of Joint Research 2014 Toyohashi University of Technology We are grateful to K Osari and S Usui for the computer analyses

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