Effects of cross-correlated noises on the transport of active Brownian particles

Wu, Dan; Zhu, Shiqun

doi:10.1103/physreve.90.012131

Cited by 29 publications

(9 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, a negative (or positive) correlation may be enough to displace the ball far enough to push it over the hill (potential maximum υ u ), resulting in a shift to the alternative stable state υ − (or υ + ). Since the mean velocity of ABPs corresponds roughly to the asymmetry of the potential and the depth of the potential minimum 45 , thus the negative correlation leads to an increase in the negative velocity, while the positive correlation leads to an increase in the positive velocity(also see Fig. 1(a,b) ).…”

Section: The Mean Velocity Of Abpsmentioning

confidence: 88%

“…Let us now construct a dynamics of an ABP with unit mass under an energy depot, and subject to cross-correlated noise sources 45 47 . It can be described by the nonlinear Langevin equation (LE)…”

Section: The Nonlinear Langevin Equationmentioning

confidence: 99%

“…The microscopic realisation of correlated noise processes has been discussed 41 . Meanwhile, 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 phase transitions in spin-crossover solids 49 , and resonant activation of a chemical reaction 50 . We also note that in a previous depot model proposed by Schweitzer et al 19 , the effects of external noise and of the correlation between two types of noise on the mechanism of ABPs transport are ignored.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Impact of correlated noise in an energy depot model

Zeng

Liu

et al. 2016

Sci Rep

View full text Add to dashboard Cite

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.

show abstract

Section: The Mean Velocity Of Abpsmentioning

confidence: 88%

Section: The Nonlinear Langevin Equationmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Impact of correlated noise in an energy depot model

Zeng

Liu

et al. 2016

Sci Rep

View full text Add to dashboard Cite

show abstract

“…In some situations, additive noise and multiplicative noise may be cross-correlated because they are from a common source [43], or due to the strong impact of extrinsic noise on intrinsic noise even if they have different origins [44]. Several studies have been devoted to the effects of cross-correlated noises on active Brownian motion [45][46][47]. To the best of our knowledge, the effect of cross-correlated noises on the escape of the ABP from a metastable state has not been investigated.…”

Section: Introductionmentioning

confidence: 99%

Noise enhanced stability of an active particle in a spatial metastable potential driven by cross-correlated noises

Jia¹,

Yang²,

Ma³

et al. 2022

J. Stat. Mech.

View full text Add to dashboard Cite

We investigate the escape dynamics of an active Brownian particle (ABP) in a spatial cubic potential subject to the cross-correlated multiplicative noise and additive noise. Based on the Schweitzer–Ebeling–Tilch model, the effects of noise strength, cross-correlation intensity between noises, damping coefficient and potential amplitude on the mean escape time (MET) from a metastable potential state are analyzed. The results indicate that the MET exhibits a non-monotonic behavior with a maximum as a function of the intensities of the multiplicative and additive noises, identifying the occurrence of the noise enhanced stability (NES) effects induced by the multiplicative noise and by the additive noise. The increase of the cross-correlation strength always enhances the NES effect induced by the additive noise, regardless of the cross-correlation between noises is positive or negative. However, the positive and negative cross-correlation play an opposite role on the NES effect induced by the multiplicative noise. Moreover, the NES effects induced by the additive and multiplicative noises can be enhanced by the increase of the damping coefficient and the potential amplitude. A physical mechanism for the NES effect of the ABP can be understood as the fact that a certain amount of noise can stabilize the sojourn of the ABP in a limit cycle. Our results demonstrate that the cross-correlation between noises may provide a possible strategy for controlling the stability of active particle systems.

show abstract

“…The theoretical and experimental investigations of ratchet transport of a Brownian particle have attracted much attention in recent years [1][2][3][4][5][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] for its wide range of potential applications. The transport phenomenon appears in many fields, such as in molecular motors, 2,5,[7][8][9][10][11][12] nanotechnologies of biological systems such as ion pumps, [25][26][27] artificial nanopores 28 and cold atoms in optical lattices, 29,30 etc.…”

Section: Introductionmentioning

confidence: 99%

Ratchet effects of a Brownian particle system with non-Gaussian noise driven by a biharmonic force

Luo

2019

Mod. Phys. Lett. B

View full text Add to dashboard Cite

The ratchet effect of an overdamped Brownian particle subjected to a spatially symmetric potential driven by a biharmonic temporal force is investigated when a non-Gaussian noise is considered. It is found that the noise intensity and the departure from the Gaussian noise will suppress the ratchet transport effect, while the noise color will strengthen the ratchet transport effect. In the same time, the phase difference mainly changes the direction of the transport. It is also shown that the abundant transport phenomenon is due to the breaking of symmetry for the biharmonic force.

show abstract

Effects of cross-correlated noises on the transport of active Brownian particles

Cited by 29 publications

References 35 publications

Impact of correlated noise in an energy depot model

Impact of correlated noise in an energy depot model

Noise enhanced stability of an active particle in a spatial metastable potential driven by cross-correlated noises

Ratchet effects of a Brownian particle system with non-Gaussian noise driven by a biharmonic force

Contact Info

Product

Resources

About