Abstract
Based on the depot model of the motion of active Brownian particles (ABPs), the impact of cross-correlated multiplicative and additive noises has been investigated. Using a nonlinear Langevin approach, we discuss a new mechanism for the transport of ABPs in which the energy originates from correlated noise. It is shown that the correlation between two types of noise breaks the symmetry of the potential to generate motion of the ABPs with a net velocity. The absolute maximum value of the mean velocity depends on correlated noise or multiplicative noise, whereas a monotonic decrease in the mean velocity occurs with additive noise. In the case of no correlation, the ABPs undergo pure diffusion with zero mean velocity, whereas in the case of perfect correlation, the ABPs undergo pure drift with zero diffusion. This shows that the energy stemming from correlated noise is primarily converted to kinetic energy of the intrawell motion and is eventually dissipated in drift motion. A physical explanation of the mechanisms for noise-driven transport of ABPs is derived from the effective potential of the Fokker-Planck equation.
Highlights
Based on the depot model of the motion of active Brownian particles (ABPs), the impact of crosscorrelated multiplicative and additive noises has been investigated
A physical explanation of the mechanisms for noise-driven transport of ABPs is derived from the effective potential of the Fokker-Planck equation
The reason for suppressing the diffusion means that the cross-correlation between two types of noise breaks the symmetry of the potential to generate motion of the ABPs with a net velocity, i.e., the diffusion is suppressed because the energy stemming from the correlated noises is primarily converted to kinetic energy of the intrawell motion and dissipated in the drift motion
Summary
Chunhua Zeng[1,2], Jiakui Zeng[1], Feng Liu2 & Hua Wang[1] received: 16 July 2015 accepted: 15 December 2015. The microscopic realisation of correlated noise processes has been discussed[41] It appears that the correlation of internal and external fluctuations is ubiquitous in nature and often fundamentally changes the dynamics of a system[42,43,44,45], such as in the cases of reentrance phenomena in a bistable kinetic model[46], anomalous diffusion of overdamped particles[47], multiple current reversals in a symmetrical potential[48], photoinduced. The rate of energy loss c is assumed to be constant; and (iii) conversion of internal energy into kinetic energy with a rate d2υ2, which υ is the actual velocity of the ABPs, and d2 > 0.0 This shows that the depot energy may be used to drive the motion of an active Brownian particle (ABP). The motion of the ABP is motivated by investigations of active biological motion, which relies on the supply of energy, which is dissipated by metabolic processes, but can be converted into kinetic energy
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