Fluctuation-Induced Interactions between Rods on a Membrane

Details Fluctuation-Induced Interactions between Rods on a Membrane Fluctuation-Induced Interactions between Rods on a Membrane

1996-04-11

arxiv.org/abs/cond-mat/9604067v1

Physics

Condensed Matter

REVTEX, 14 pages, with 2 Postscript figures

Scientific paper

10.1103/PhysRevE.54.6725

We consider the interaction between two rods embedded in a fluctuating surface. The modification of fluctuations by the rods leads to an attractive long-range interaction between them. We consider fluctuations governed by either surface tension (films) or bending rigidity (membranes). In both cases the interaction falls off with the separation of the rods as $1/R^4$. The orientational part of the interaction is proportional to $\cos^2\left[ \theta_1+\theta_2 \right]$ in the former case, and to $\cos^2\left[ 2\left(\theta_1+\theta_2\right) \right]$ in the latter, where $\theta_1$ and $\theta_2$ are angles between the rods and the line joining them. These interactions are somewhat reminiscent of dipolar forces and will tend to align collections of such rods into chains.

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