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  • Title: Fractional Brownian motion and the critical dynamics of zipping polymers.
    Author: Walter JC, Ferrantini A, Carlon E, Vanderzande C.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2012 Mar; 85(3 Pt 1):031120. PubMed ID: 22587051.
    Abstract:
    We consider two complementary polymer strands of length L attached by a common-end monomer. The two strands bind through complementary monomers and at low temperatures form a double-stranded conformation (zipping), while at high temperature they dissociate (unzipping). This is a simple model of DNA (or RNA) hairpin formation. Here we investigate the dynamics of the strands at the equilibrium critical temperature T=T(c) using Monte Carlo Rouse dynamics. We find that the dynamics is anomalous, with a characteristic time scaling as τ∼L(2.26(2)), exceeding the Rouse time ∼L(2.18). We investigate the probability distribution function, velocity autocorrelation function, survival probability, and boundary behavior of the underlying stochastic process. These quantities scale as expected from a fractional Brownian motion with a Hurst exponent H=0.44(1). We discuss similarities to and differences from unbiased polymer translocation.
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