title: Periodically driven DNA: Theory and simulation.
abstract: We propose a generic model of driven DNA under the influence of an oscillatory force of amplitude F and frequency ν 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 is a 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.
authors: Department of Physics, Banaras Hindu University, Varanasi 221 005, India.
authors: Sanjay
authors: S
authors: Kumar
authors: Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany.
authors: Ravinder
authors: R
authors: Kumar
authors: Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany.
authors: Wolfhard
authors: W
authors: Janke
mesh_terms: D003198:Computer Simulation; D004247:DNA / Q000737:chemistry*; D008957:Models, Genetic; D010507:Periodicity; D013816:Thermodynamics
chemical_list: D004247:DNA