On the surface tension of fluctuating quasi-spherical vesicles

preprint2010arXivOpen access

Abstract

We calculate the stress tensor for a quasi-spherical vesicle and we thermally average it in order to obtain the actual, mechanical, surface tension ττ of the vesicle. Both closed and poked vesicles are considered. We recover our results for ττ by differentiating the free-energy with respect to the proper projected area. We show that ττ may become negative well before the transition to oblate shapes and that it may reach quite large negative values in the case of small vesicles. This implies that spherical vesicles may have an inner pressure lower than the outer one.

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