Transport and diffusion in the Schweitzer–Ebeling–Tilch model driven by cross-correlated noises

Abstract We investigate the transport properties of active Brownian particle (ABP) in the Schweitzer-Ebeling-Tilch (SET) model, driven by cross-correlation between multiplicative and additive noises and a bias force. It is shown that (i) the cross-correlated noises and bias force can lead to a transition from bimodal to unimodal, and the numerical simulations are in good agreement with the theoretical results; (ii) the cross-correlated noises and bias force can enhance the transport and weaken the diffusion of the ABP; (iii) the multiplicative noise can facilitate the transport and enhance the diffusion of the ABP, and a giant diffusion for larger multiplicative noise, whereas the additive noise can weaken the transport of the ABP; A physical mechanism for the transport and diffusion of the ABP is derived from the effective velocity potential for the above findings. (iv) the cross-correlated noises and bias force can enhance the collective motion of coupled active Brownian particles (ABPs), i.e., better synchronization between N coupled ABPs. It can provide a possible strategy for controlling active motion.