Polymers in curved boxes

K. Yaman, P. Pincus, Francisco Solis, T. A. Witten

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18 Scopus citations

Abstract

We apply results derived in other contexts for the spectrum of the Laplace operator in curved geometries to the study of an ideal polymer chain confined to a spherical annulus in arbitrary space dimension D and conclude that the free energy compared to its value for an uncurved box of the same thickness and volume is lower when D < 3, stays the same when D = 3, and is higher when D > 3. Thus, confining an ideal polymer chain to a cylindrical shell lowers the effective bending elasticity of the walls and might induce spontaneous symmetry breaking, i.e. bending. (Actually, the above mentioned results show that any shell in D = 3 induces this effect, except for a spherical shell.) We compute the contribution of this effect to the bending rigidities in the Helfrich free energy expression.

Original languageEnglish (US)
Pages (from-to)1173-1178
Number of pages6
JournalMacromolecules
Volume30
Issue number4
Publication statusPublished - Feb 24 1997
Externally publishedYes

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ASJC Scopus subject areas

  • Materials Chemistry

Cite this

Yaman, K., Pincus, P., Solis, F., & Witten, T. A. (1997). Polymers in curved boxes. Macromolecules, 30(4), 1173-1178.