Simplified Langevin approach to the Peyrard-Bishop-Dauxois model of DNA
arXiv:0804.0921 · doi:10.1103/PhysRevE.77.032901
Abstract
A simple Langevin approach is used to study stationary properties of the Peyrard-Bishop-Dauxois model for DNA, allowing known properties to be recovered in an easy way. Results are shown for the denaturation transition in homogeneous samples, for which some implications, so far overlooked, of an analogy with equilibrium wetting transitions are highlighted. This analogy implies that the order-parameter, asymptotically, exhibits a second order transition even if it may be very abrupt for non-zero values of the stiffness parameter. Not surprisingly, we also find that for heterogeneous DNA, within this model the largest bubbles in the pre-melting stage appear in adenine-thymine rich regions, while we suggest the possibility of some sort of not strictly local effects owing to the merging of bubbles.
arXiv comment4 pages, 2 figures
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Cited by in corpus (9)
- Path Integral Method for DNA Denaturation
- Denaturation Patterns in Heterogeneous DNA
- Stacking Interactions in Denaturation of DNA Fragments
- Dependence on temperature and GC content of bubble length distributions in DNA
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