Polymer unfolding and motion synchronization induced by spatially correlated noise

Abstract

The problem of a spatially correlated noise affecting a complex system is studied in this paper. We present a comprehensive analysis of a 2D model polymer chain, driven by the spatially correlated Gaussian noise, for which we have varied the amplitude and the correlation length. The chain model is based on a bead-spring approach, enriched with a global Lennard-Jones potential and angular interactions. We show that spatial correlations in the noise inhibit the chain geometry dynamics, enhancing the preservation of the polymer shape. This is supported by the analysis of correlation functions of both the module length and angles between neighboring modules, which have been measured for the noise amplitude ranging over 3 orders of magnitude. Moreover, we have observed the correlation length dependent beads motion synchronization, and the spontaneous polymer unfolding, resulting from an interplay between chain potentials and the spatially structured noise.

Second submission, improved in a response to the reviews from Phys. Rev. E. Changes: reworking the introductory section, now linking to the glass-liquid transition physics, adding the discussion of physically meaningful correlation length

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• Thermodynamically consistent Langevin dynamics with spatially correlated noise predicts frictionless regime and transient attraction effect
• Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics