Transport properties of active Brownian particles in a modified energy-depot model driven by correlated noises

In this paper, we investigate the role of correlated multiplicative (κ1) and additive (κ2) noises in a modified energy conversion depot model, at which it is added a linear term in the conversion of internal energy of active Brownian particles (ABPs). The linear term (a1≠0.0) in energy conversion model breaks the symmetry of the potential to generate motion of the ABPs with a net transport velocity. Adopt a nonlinear Langevin approach, the transport properties of the ABPs have been discussed, and our results show that: (i) the transport velocity 〈υ1〉 of the ABPs are always positive whether the correlation intensity λ=0.0 or not; (ii) for a small value of the multiplicative noise intensity κ1, the variation of 〈υ1〉 with λ shows a minimum, there exists an optimal value of the correlation intensity λ at which the 〈υ1〉 of the ABPs is minimized. But for a large value of κ1, the 〈υ1〉 monotonically decreases; (iii) the transport velocity 〈υ1〉 increases with the increase of the κ1 or κ2, i.e., the multiplicative or additive noise can facilitate the transport of the ABPs; and (iv) the effective diffusion increases with the increase of a1, namely, the linear term in modified energy conversion model of the ABPs can enhance the diffusion of the ABPs.