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Abstract: We solve the Chapman-Kolmogorov equation and study the exact splittingprobabilities of the general stochastic process which describes polymertranslocation through membrane pores within the broad class of Markov chains.Transition probabilities which satisfy a specific balance constraint provide arefinement of the Chuang-Kantor-Kardar relaxation picture of translocation,allowing us to investigate finite size effects in the evaluation of dynamicalscaling exponents. We find that i previous Langevin simulation results can berecovered only if corrections to the polymer mobility exponent are taken intoaccount and that ii the dynamical scaling exponents have a slow approach totheir predicted asymptotic values as the polymer-s length increases. We alsoaddress, along with strong support from additional numerical simulations, acritical discussion which points in a clear way the viability of the Markovchain approach put forward in this work.



Author: Felipe Mondaini, L. Moriconi

Source: https://arxiv.org/







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