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  • Title: Semiflexible polymer confined to a spherical surface.
    Author: Spakowitz AJ, Wang ZG.
    Journal: Phys Rev Lett; 2003 Oct 17; 91(16):166102. PubMed ID: 14611419.
    Abstract:
    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 l(p), and sphere radius R. We predict two qualitatively different behaviors for a long polymer depending on the ratio R/l(p). For R/l(p)>4, the mean square end-to-end distance increases monotonically with the chain length, whereas for R/l(p)<4, a damped oscillatory behavior is predicted.
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