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Title: | Fractional Brownian motion and the critical dynamics of zipping polymers | Authors: | Walter, J. -C. Ferrantini, A. Carlon, E. VANDERZANDE, Carlo |
Issue Date: | 2012 | Publisher: | AMER PHYSICAL SOC | Source: | PHYSICAL REVIEW E, 85 (3) (Art N° 031120) | 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. | Keywords: | Physics; Fluids & Plasmas; Physics; Mathematical | Document URI: | http://hdl.handle.net/1942/13608 | ISSN: | 1539-3755 | DOI: | 10.1103/PhysRevE.85.031120 | ISI #: | 000301773200004 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2013 |
Appears in Collections: | Research publications |
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fractional brownian motion.pdf | Non Peer-reviewed author version | 988.5 kB | Adobe PDF | View/Open |
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