Markovian Description of Unbiased Polymer Translocation

TL;DR

This study uses extensive Langevin simulations to support a Markovian model for unbiased polymer translocation, showing strong agreement with theoretical predictions through correlation and probability analyses.

Contribution

It provides the first extensive simulation-based validation of a Markovian framework for unbiased polymer translocation, aligning empirical data with theoretical models.

Findings

Good agreement between simulations and Markov chain predictions

Correlation functions support Markovian dynamics

Empirical translocation probabilities match theoretical estimates

Abstract

We perform, with the help of cloud computing resources, extensive Langevin simulations which provide compelling evidence in favor of a general markovian framework for unbiased polymer translocation. Our statistical analysis consists of careful evaluations of (i) two-point correlation functions of the translocation coordinate and (ii) the empirical probabilities of complete polymer translocation (taken as a function of the initial number of monomers on a given side of the membrane). We find good agreement with predictions derived from the Markov chain approach recently addressed in the literature by the present authors.