Regensburg 2016 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 40: Statistical Physics of Biological Systems II (Joint Session with DY)
BP 40.2: Vortrag
Mittwoch, 9. März 2016, 11:45–12:00, H43
Making a loop - from polymer conformation to single file diffusion and back — •Wenwen Huang1, Yen Ting Lin1,2, Daniela Frömberg1, Frank Jülicher1, and Vasily Zaburdaev1 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2School of Physics and Astronomy, University of Manchester, M139PL, Manchester, United Kingdom.
In this contribution, we show that the conformations of a pinned polymer loop embedded in a heat bath with a constant external force field can be modeled by an asymmetric exclusion process (ASEP) with reflecting boundary conditions. This correspondence allows us to find the exact solution for both systems’ equilibrium statistics, which is well approximated by the Fermi–Dirac distribution. Moreover, we can quantify not only the behavior of average positions of the particles of the ASEP and the corresponding monomers of the polymer loop, but also their fluctuations. The condition of forming a loop and the corresponding constraint in the ASEP model lead to explicit dependence of the fluctuations on the position of the particles in ASEP and the monomers of the polymer. To close the loop of analogies we show that the kinetic Monte Carlo simulations, which can be performed for the ASEP with a well defined physical time, can be related to the non-equilibrium dynamics of polymer loops.