Description |
We propose a generic model of driven DNA under the influence of an oscillatory force of amplitude F and frequency v and show the existence of a dynamical transition for a chain of finite length. We find that the area of the hysteresis loop, A_{loop}, scales with the same exponents as observed in a recent study based on a much more detailed model. However, towards the true thermodynamic limit, the high-frequency scaling regime extends to lower frequencies for larger chain length L and the system has only one scaling A_{loop} ~ ν^{-1}F^{2}. Expansion of an analytical expression for A_{loop} obtained for the model system in the low-force regime revealed that there isa new scaling exponent associated with force A _{loop} ~ ν^{-1}F^{2.5}, which has been validated by high-precision numerical calculation. By a combination of analytical and numerical arguments, we also deduce that for large but finite L, the exponents are robust and independent of temperature and friction coefficient.References:1. Periodically driven DNA: Theory and Simulation Sanjay Kumar, Ravinder Kumar and Wolfhard Janke Phys. Rev. E , 93, 010402 (R)(2016) 2. Statistical mechanics of DNA unzipping under periodic force: Scaling behavior of hysteresis loop Sanjay Kumar and Garima Mishra Phys. Rev. Lett. 110, 258102 (2013) |

Periodically Driven DNA: Theory and Simulations