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The unzipping of a double stranded DNA whose ends are subjected to a timedependent periodic force with frequency $\omega$ and amplitude $G$ is studiedusing Monte Carlo simulations. We obtain the dynamical order parameter, $Q$,defined as the time average extension between the end monomers of two strandsof the DNA over a period, and its probability distributions $P(Q)$ at variousforce amplitudes and frequencies. We also study the time autocorrelations ofextension and the dynamical order parameter for various chain lengths. Theequilibrium force-distance isotherms were also obtained at various frequenciesby using non-equilibrium work measurements.

Unzipping DNA by a periodic force: Hysteresis loops, Dynamical order parameter, Correlations and Equilibrium curves