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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/13608

Title: Fractional Brownian motion and the critical dynamics of zipping polymers
Authors: Walter, J. -C.
Ferrantini, A.
Carlon, E.
Vanderzande, C.
Issue Date: 2012
Publisher: AMER PHYSICAL SOC
Citation: PHYSICAL REVIEW E, 85 (3)
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 tau similar to L-2.26(2), exceeding the Rouse time similar to 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.
Notes: [Walter, J. -C.; Ferrantini, A.; Carlon, E.; Vanderzande, C.] Katholieke Univ Leuven, Inst Theoret Phys, B-3001 Louvain, Belgium. [Vanderzande, C.] Hasselt Univ, Fac Sci, B-3590 Diepenbeek, Belgium.
URI: http://hdl.handle.net/1942/13608
DOI: 10.1103/PhysRevE.85.031120
ISI #: 000301773200004
ISSN: 1539-3755
Category: A1
Type: Journal Contribution
Validation: ecoom, 2013
Appears in Collections: Theoretical Physics

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