A simple model of DNA based on two interacting polymers has been used tostudy the unzipping of a double stranded DNA subjected to a periodic force. Wepropose a dynamical transition, where without changing the physiologicalcondition, it is possible to bring DNA from the zipped/unzipped state to a newdynamic (hysteretic) state by varying the frequency of the applied force. Ourstudies reveal that the area of the hystersis loop grows with the sameexponents as of the isotropic spin systems. These exponents are amenable toverification in the force spectroscopic experiments.
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