Transport of particles caused by correlation between additive and multiplicative noise

Abstract

The transport of a spatially periodic system driven by additive and multiplicative Gaussian white noises (between which there is a correlation) is investigated in the presence of spatial symmetry. The probability current shows that the correlation between additive and multiplicative noise is an ingredient for the flux of particles. Using the formulas obtained by us we investigate the transport in the superconducting junction and the transport of motor proteins in the case of environmental perturbation. For the motor proteins we find that the multiplicative noise can also induce the flux of the moleculae, even if the correlation between additive and multiplicative noise is zero. The results of superconducting junction and motor proteins provide a theoretical foundation for further study.