Directed transport and stochastic resonance in centralized coupled Brownian motors with stochastic interactions

Abstract:

In some physical or biological environments, the surrounding medium contains many particles of the same kind as coupled Brownian particles capable of not only decoupling from the original coupled system but also adhering to each other and recoupling a larger system. Thus a mathematical model is proposed based on Langevin equations (LEs) to characterize the random interactions with fluctuating number of Brownian particles in the centralized coupled system. By the system simulations, the effects of interacting parameters, ratchet asymmetry and noisy intensity on collective transport behaviors are investigated, and some phenomena, such as cooperative behaviors, stochastic resonance (SR) and generalized SR, are observed.

Key words:Brownian motor; Stochastic interaction; Directed transport; Stochastic resonance