Theoretical study of fluid membranes of spherical topology with internal degrees of freedom.

Content Provider	Semantic Scholar
Author	Evans
Copyright Year	1996
Abstract	A theoretical study of vesicles of topological genus zero is presented. The bilayer membranes forming the vesicles have various degrees of intrinsic (tangent-plane) orientational order, ranging from smectic to hexatic, frustrated by curvature and topology. The eld-theoretical model for thesèn-atic' surfaces has been studied before in the low temperature (mean-eld) limit. Work presented here includes the eeects of thermal uctuations. Using the lowest Landau level approximation, the coupling between order and shape is cast in a simple form, facilitating insights into the behaviour of vesicles. The order parameter contains vortices, whose eeective interaction potential is found, and renormalized by membrane uctuations. The shape of the phase space has a counter-intuitive innuence on this potential. A criterion is established whereby a vesicle of nite rigidity may be burst by its own in-plane order, and an analogy is drawn with ux exclusion from a type-I superconductor.
Starting Page	935
Ending Page	949
Page Count	15
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.ph.ed.ac.uk/~rmle/PhysRevE1.ps
Alternate Webpage(s)	http://arxiv.org/pdf/cond-mat/9506121v1.pdf
PubMed reference number	9964329v1
Volume Number	53
Issue Number	1
Journal	Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Language	English
Access Restriction	Open
Subject Keyword	ARID1A wt Allele Anatomy, Regional Arabic numeral 0 Cold Temperature Exclusion Frustration Genus Muscle Rigidity Population Parameter Tissue membrane Vesicle (morphologic abnormality)
Content Type	Text
Resource Type	Article