A Hopping Mechanism for Cargo Transport by Molecular Motors on Crowded Microtubules |
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Authors: | Carla Goldman |
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Institution: | (1) Department of Physics and Astronomy, University of Aarhus, Aarhus, Denmark;(2) Niels Bohr Institute, Copenhagen, Denmark; |
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Abstract: | We present an algorithm, based on the iteration of conformal maps, that produces independent samples of self-avoiding paths
in the plane. It is a discrete process approximating radial Schramm-Loewner evolution growing to infinity. We focus on the
problem of reproducing the parametrization corresponding to that of lattice models, namely self-avoiding walks on the lattice,
and we propose a strategy that gives rise to discrete paths where consecutive points lie an approximately constant distance
apart from each other. This new method allows us to tackle two non-trivial features of self-avoiding walks that critically
depend on the parametrization: the asphericity of a portion of chain and the correction-to-scaling exponent. |
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Keywords: | |
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