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

Ramu Kumar Yadav1,*, M. Suman Kalyan1,2,†, Rajeev Kapri1,‡, and Abhishek Chaudhuri1,§

  • 1Department of Physical Sciences, Indian Institute of Science Education and Research Mohali, Sector 81, Knowledge City, S. A. S. Nagar, Manauli PO 140306, India
  • 2Department of Physics, Institute of Aeronautical Engineering, Dundigal, Hyderabad 500043, Telangana, India

  • *ramukumar@iisermohali.ac.in
  • †maroju.sk@gmail.com
  • ‡rkapri@iisermohali.ac.in
  • §abhishek@iisermohali.ac.in

Phys. Rev. E 108, L022401 – Published 17 August, 2023

DOI: https://doi.org/10.1103/PhysRevE.108.L022401

Abstract

We numerically study stochastic resonance in the unzipping of a model double-stranded DNA by a periodic force. We observe multiple peaks in stochastic resonance in the output signal as the driving force frequency is varied for different force amplitudes, temperature, chain length, and chain heterogeneity. Multiple peaks point to the existence of multiple stable and metastable states, which correspond to dynamical states of partially zipped and unzipped conformations and transitions between them. We quantify such transitions by looking at the time evolution of the fraction of bound base pairs. We obtain phase diagrams in the force amplitude–temperature plane both in the resonance frequency of the primary peak and the output signal at the peak value. We further obtain an excellent scaling behavior of the output signal for changing lengths of the DNA. Resonance behavior is also affected by chain heterogeneity as it depends strongly on which base pair the periodic forcing is applied.

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