Anomalous Transport Of Inertial Brownian Particles In A Spatial-periodic Symmetric System

In recent years,the transport of Brownian particles(especially noise-induced transport of Brownian particles)plays an important role in the fields of physics,chemistry and biology,and has been widely studied in physical,chemical and biological systems.Therefore,it has been widely concerned by many scholars at home and abroad.Firstly,considering the existence of friction fluctuation,we investigate the anomalous transports of inertial Brownian particles moving in a spatial-periodic symmetric system under the influence of a time-periodic force and a constant bias.By using euler algorithm,the results show that:(i)a time-periodic force plays a key role in anomalous transports;(ii)The correlation between noises can enhance,weaken,or lead to negative mobility for a small bias and ratchet effect;(iii)Negative mobility can be tuned by friction and Gaussian noise in certain parameter ranges,which can be explained by the temporally periodic transient probability distributions of the particle's velocity and position,mean trajectory,and time-dependent diffusion coefficient;(iv)In addition,from the perspective of diffusion,negative mobility is determined by the time-dependent diffusion coefficient.And the small time-dependent diffusion coefficient corresponds to negative mobility.Moreover,we also investigate the anomalous transports of inertial Brownian particles moving in a spatial-periodic symmetric system with a time-dependence of the system temperature?diffusion coefficient and damping coefficient.Via the euler algorithm,the results show that:(i)the ratchet effect can enhance as the initial diffusion coefficient increases;(ii)However,the ratchet effect can weaken as the characteristic time of the temperature decay increases;(iii)The ratchet effect can occur at the small power-law exponent of diffusion and vanish at the large power-law exponent of diffusion.What's more,the negative mobility can occur at the larger power-law exponent of diffusion.(iv)different initial diffusion coefficients,characteristic times of the temperature decay and power-law exponents of diffusion correspond to different diffusion.This paper is of potential help for the application of studying transport properties of Brownian particle,such as particle separation,control of molecular motors and the current reversal in a miniratchet systems.