Markov Chain Modeling of Polymer Translocation Through Pores

Details Markov Chain Modeling of Polymer Translocation Through Pores Markov Chain Modeling of Polymer Translocation Through Pores

2010-05-31

arxiv.org/abs/1005.5731v3

J. Chem. Phys. 135, 114902 (2011)

Physics

Condensed Matter

Statistical Mechanics

17 pages, 5 figures

Scientific paper

We solve the Chapman-Kolmogorov equation and study the exact splitting probabilities of the general stochastic process which describes polymer translocation through membrane pores within the broad class of Markov chains. Transition probabilities which satisfy a specific balance constraint provide a refinement of the Chuang-Kantor-Kardar relaxation picture of translocation, allowing us to investigate finite size effects in the evaluation of dynamical scaling exponents. We find that (i) previous Langevin simulation results can be recovered only if corrections to the polymer mobility exponent are taken into account and that (ii) the dynamical scaling exponents have a slow approach to their predicted asymptotic values as the polymer's length increases. We also address, along with strong support from additional numerical simulations, a critical discussion which points in a clear way the viability of the Markov chain approach put forward in this work.

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