Simulation of a semiflexible polymer in a narrow cylindrical pore

Details Simulation of a semiflexible polymer in a narrow cylindrical pore Simulation of a semiflexible polymer in a narrow cylindrical pore

2001-06-29

arxiv.org/abs/cond-mat/0106633v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 eps figures

Scientific paper

10.1088/0305-4470/34/29/301

The probability that a randomly accelerated particle in two dimensions has not yet left a simply connected domain ${\cal A}$ after a time $t$ decays as $e^{-E_0t}$ for long times. The same quantity $E_0$ also determines the confinement free energy per unit length $\Delta f=k_BT\thinspace E_0$ of a semiflexible polymer in a narrow cylindrical pore with cross section ${\cal A}$. From simulations of a randomly accelerated particle we estimate the universal amplitude of $\Delta f$ for both circular and rectangular cross sections.

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