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Semiflexible Polymer Confined to a Spherical Surface

Spakowitz, Andrew J. and Wang, Zhen-Gang (2003) Semiflexible Polymer Confined to a Spherical Surface. Physical Review Letters, 91 (16). Art. No. 166102. ISSN 0031-9007. doi:10.1103/PhysRevLett.91.166102.

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We develop a formalism for describing the kinematics of a wormlike chain confined to the surface of a sphere that simultaneously satisfies the spherical confinement and the inextensibility of the chain contour. We use this formalism to study the statistical behavior of the wormlike chain on a spherical surface. In particular, we provide an exact, closed-form expression for the mean square end-to-end distance that is valid for any value of chain length L, persistence length lp, and sphere radius R. We predict two qualitatively different behaviors for a long polymer depending on the ratio R/lp. For R/lp>4, the mean square end-to-end distance increases monotonically with the chain length, whereas for R/lp<4, a damped oscillatory behavior is predicted.

Item Type:Article
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Spakowitz, Andrew J.0000-0002-0585-1942
Wang, Zhen-Gang0000-0002-3361-6114
Additional Information:©2003 The American Physical Society. Received 6 June 2003; published 16 October 2003. This work was supported in part by the National Science Foundation (DMR-9970589).
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Issue or Number:16
Record Number:CaltechAUTHORS:SPAprl03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8781
Deposited By: Archive Administrator
Deposited On:15 Sep 2007
Last Modified:08 Nov 2021 20:53

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