Simulation of a semiflexible polymer in a narrow cylindrical pore

Abstract

The probability that a randomly accelerated particle in two dimensions has not yet left a simply connected domain $\mathcal{A}$ after a time $t$ decays as $e^{-E_{0}t}$ for long times. The same quantity $E_0$ also determines the confinement free energy per unit length $\Delta f=k_{B}T{E}_0$ of a semiflexible polymer in a narrow cylindrical pore with cross section $\mathcal{A}$. From simulations of a randomly accelerated particle we estimate the universal amplitude of $\Delta f$ for both circular and rectangular cross sections.

10 pages, 2 eps figures

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