Orientational Ordering of Polymers on a Fluctuating Flexible Surface

Abstract

Arguments are presented to the effect that embedding semi-flexible (wormlike) ideal polymers into a fluctuating, flexible surface leads to an effective attractive orientational interaction between polymer segments that precipitates an orientational ordering transition of the polymer chains on the surface even in the case of otherwise ideal (non-interacting) chains. The orientational interaction is analogous to the (zero order) Casimir force and is due to the energy change in surface conformational fluctuations in the presence of embedded semi-flexible chains.

LaTeX, 11 pages

References in corpus (1)

• Casimir Forces between Beads on Strings and Membranes

Cited by in corpus (6)

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• Ordering of anisotropic polarizable polymer chains on the full many-body level
• Phases and Transitions in Phantom Nematic Elastomer Membranes
• Reduced Persistence Length and Fluctuation-Induced Interactions of Directed Semiflexible Polymers on Fluctuating surfaces
• Isotropic - Nematic Transition of Surface Embedded Polymers and the Associated Tubulization Transition of the Embedding Surface
• Membrane-mediated interactions