2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138050The movement of a Brownian particle in a fluctuating two-state periodic potential is investigated. At high transition rate, we use a perturbation method to obtain the analytical solution of the model. It is found that the net current is a peaked function of thermal noise, barrier height and the fluctuation ratio between the two states. The thermal noise may facilitate the directed motion at a finite intensity. The asymmetry parameter of the potential is sensitive to the direction of the net current.6 pages, 5 figuresBiological PhysicsChemical Physicstext