Hysteresis loop area scaling exponents in DNA unzipping by a periodic force: A Langevin dynamics simulation study

Abstract

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 $\omega$ and amplitude $G$ keeping the other end fixed. We find that the area of the hysteresis loop, $A_{loop}$, scales as $1/\omega$ at higher frequencies, whereas it scales as $(G-G_c{)}^{\alpha }{\omega }^{\beta }$ with exponents $\alpha =1$ and $\beta =1.25$ 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.

arXiv commentPublished version

References in corpus (20)

• Dynamic transitions and hysteresis
• Single-molecule experiments in biological physics: methods and applications
• Pulling Pinned Polymers and Unzipping DNA
• DNA unzipped under a constant force exhibits multiple metastable intermediates
• Dynamical scaling of the DNA unzipping transition
• Measurement of the Phase Diagram of DNA Unzipping in the Temperature- Force Plane
• Phase diagram of force-induced DNA unzipping in exactly solvable models
• Pulling a polymer out of a potential well and the mechanical unzipping of DNA
• Complete Phase Diagram of DNA Unzipping: Eye, Y-fork and triple point
• Statistical Mechanics of DNA unzipping under periodic force: Scaling behavior of hysteresis loop
• Hysteresis and nonequilibrium work theorem for DNA unzipping
• Randomly forced DNA
• Dynamical phase transition of a periodically driven DNA
• Scaling of hysteresis loop of interacting polymers under a periodic force
• Unzipping DNA by a periodic force: Hysteresis loop area and its scaling
• Unzipping DNA by force: thermodynamics and finite size behaviour
• Manipulating a single adsorbed DNA for a critical endpoint
• Periodically driven DNA: Theory and simulation
• Unzipping DNA by a periodic force: Hysteresis loops, Dynamical order parameter, Correlations and Equilibrium curves
• Unzipping of a double-stranded block copolymer DNA by a periodic force

Cited by in corpus (2)

• DNA Unzipping Transition
• Stochastic resonance in a model of a periodically driven DNA : Multiple transitions, scaling and sequence dependence