Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/9688
Title: Chiral lipid bilayers with cylindrical symmetry
Authors: Hu, ZN
Lo, VC
Keywords: Cylindrical symmetry
Euler-lagrange equation
Tubule
Issue Date: 2005
Publisher: World Scientific
Source: International journal of modern physics B, 2005, v. 19, no. 18, p. 2999-3011 How to cite?
Journal: International journal of modern physics B 
Abstract: In this paper, we have studied the chiral lipid bilayers with the tilted fluid phase where the orientation of the molecular tilt varies as a function of the cylindrical coordinates. The rigorous solution of the equation related to the orientation of the long molecular axis is obtained, which describes the property of the tubules with a modulation in the tilt. When the angle of the molecular director is independent of the cylindrical coordinates θ, z, the patterns formed by chiral molecules can be degenerated to the right-handed helix, the left-handed helix, the straight lines, and the circles. The curvature and torsion of the corresponding curves are given explicitly, which denotes the winding of the molecules around the cylinder. We find also that the angle between the director of the molecule and the local normal direction of the cylinder increases if the radius of the cylinder reduces when the tilted angle φ from the equator of the cylinder is uniform.
URI: http://hdl.handle.net/10397/9688
ISSN: 0217-9792
EISSN: 1793-6578
DOI: 10.1142/S0217979205030827
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