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    Simulation of a semiflexible polymer in a narrow cylindrical pore

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    The probability that a randomly accelerated particle in two dimensions has not yet left a simply connected domain A{\cal A} after a time tt decays as eE0te^{-E_0t} for long times. The same quantity E0E_0 also determines the confinement free energy per unit length Δf=kBTE0\Delta f=k_BT\thinspace E_0 of a semiflexible polymer in a narrow cylindrical pore with cross section A{\cal A}. From simulations of a randomly accelerated particle we estimate the universal amplitude of Δf\Delta f for both circular and rectangular cross sections.Comment: 10 pages, 2 eps figure

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