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Fractional Brownian motion and the critical dynamics of zipping polymers
- Source :
- Phys. Rev. E 85, 031120 (2012)
- Publication Year :
- 2011
-
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 $\tau \sim L^{2.26(2)}$, exceeding the Rouse time $\sim L^{2.18}$. We investigate the probability distribution function, the velocity autocorrelation function, the survival probability and boundary behaviour 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 and differences with unbiased polymer translocation.<br />Comment: 7 pages, 8 figures
- Subjects :
- Condensed Matter - Statistical Mechanics
Condensed Matter - Soft Condensed Matter
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 85, 031120 (2012)
- Publication Type :
- Report
- Accession number :
- edsarx.1111.4323
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.85.031120