Keywords
Langevin equation
Mean velocity of center of mass
Runge-Kutta algorithm
Submitted : 2025-03-04
Accepted : 2025-03-19
Published : 2025-04-03
Abstract
Molecular motors, as important nanomachines in cells, drive directional motion through ATP hydrolysis and play a key role in life processes such as DNA replication and material transport. In this paper, the kinetic evolution of coupled Brownian particles is described based on the overdamped Langevin equation, and the mean velocity of the coupled particles is obtained. By using the second-order Runge-Kutta algorithm, the dynamic characteristics of the directional transport of the coupled ratchet system can be studied theoretically. This research can provide a new approach for the design of nanomechanics and the mechanism analysis of biomolecular motion.
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