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

• Published in: Physica A Vol. 564; p. 125503
• Main Authors: Fang, Yuwen, Luo, Yuhui, Ma, Zhiqing, Zeng, Chunhua
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.02.2021
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2020.125503

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 by a 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; and (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. •Cross-correlated noise and bias force can lead to a transition from bimodal to unimodal.•Cross-correlated noises and bias force can enhance the transport and weaken the diffusion of the ABP.•Multiplicative noise can facilitate transport and enhance diffusion of the ABP, whereas the additive noise can weaken the transport of the ABP.•Cross-correlated noises and bias force can enhance the collective motion of coupled ABPs.