2001/06/29 by D. J. Bicout, Dominique Bicout, Theodore W. Burkhardt +1 · 3 citations
Chemistry · Engineering · Physics and Astronomy · #Electrostatics and Colloid Interactions #Mass Spectrometry Techniques and Applications #Nanopore and Nanochannel Transport Studies #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/34/29/301
10 pages, 2 eps figures
arxiv created 2001/06/29 · openalex publication_date 2001/07/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The probability that a randomly accelerated particle in two dimensions has not yet left a simply connected domain 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 Δ f = k B T E 0 of a semiflexible polymer in a narrow cylindrical pore with cross section . From simulations of a randomly accelerated particle we estimate the universal amplitude of Δ f for both circular and rectangular cross sections.