Dynamics of DNA-breathing: Weak noise analysis, finite time singularity, and mapping onto the quantum Coulomb problem - Condensed Matter > Statistical MechanicsReport as inadecuate




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Abstract: We study the dynamics of denaturation bubbles in double-stranded DNA on thebasis of the Poland-Scheraga model. We show that long time distributions forthe survival of DNA bubbles and the size autocorrelation function can bederived from an asymptotic weak noise approach. In particular, below themelting temperature the bubble closure corresponds to a noisy finite timesingularity. We demonstrate that the associated Fokker-Planck equation isequivalent to a quantum Coulomb problem. Below the melting temperature thebubble lifetime is associated with the continuum of scattering states of therepulsive Coulomb potential; at the melting temperature the Coulomb potentialvanishes and the underlying first exit dynamics exhibits a long time power lawtail; above the melting temperature, corresponding to an attractive Coulombpotential, the long time dynamics is controlled by the lowest bound state.Correlations and finite size effects are discussed.



Author: Hans C. Fogedby, Ralf Metzler

Source: https://arxiv.org/







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