周期力作用下DNA解链的滞后环面积标度指数:Langevin动力学模拟研究
Hysteresis loop area scaling exponents in DNA unzipping by a periodic force: A Langevin dynamics simulation study
摘要:
利用Langevin动力学模拟,研究了长双链DNA链在周期性外力作用下的解链迟滞现象,外力的频率为$ω$,振幅为$G$,另一端保持固定.我们发现,该地区的磁滞回线,$A_{loop}$,规模为$1/ω$在较高的频率,而它的规模为$(G-G_c)^αω^β$与指数$α=1$和$β=1.25$在低频制度。这些值与用蒙特卡罗模拟研究同聚物DNA的有向自回避行走模型[R. Kapri,Phys.Rev.E90,062719(2014)]和嵌段共聚物DNA [R. K. Yadav和R. Kapri,Phys.Rev.E103,012413(2021)],并且不同于先前使用Langevin动力学模拟研究在短得多的DNA发夹上报告的值。
英文摘要:
Using Langevin dynamics simulations, we study the hysteresis in unzipping of longer double stranded DNA chains whose ends are subjected to a time dependent periodic force with frequency $ω$ and amplitude $G$ keeping the other end fixed. We find that the area of the hysteresis loop, $A_{loop}$, scales as $1/ω$ at higher frequencies, whereas it scales as $(G-G_c)^αω^β$ with exponents $α=1$ and $β=1.25$ in the low frequency regime. These values are same as the exponents obtained in Monte Carlo simulation studies of a directed self avoiding walk model of a homopolymer DNA [R. Kapri, Phys. Rev. E 90, 062719 (2014)], and the block copolymer DNA [R. K. Yadav and R. Kapri, Phys. Rev. E 103, 012413 (2021)] on a square lattice, and differs from the values reported earlier using Langevin dynamics simulation studies on a much shorter DNA hairpins.
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