Absolute negative mobility in a one-dimensional overdamped system

Chen, Ruyin; Nie, Linru; Pan, Wanli; Zhang, Jianqiang

doi:10.1016/j.physleta.2015.07.019

Cited by 3 publications

(6 citation statements)

References 34 publications

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“…It is a precise numerical replica of Fig. 1 presented in [1]. According to the present state of the art about ANM it does not occur in the system described by Eq.…”

Section: Preprint Submitted To Physicsmentioning

confidence: 77%

“…The authors of Ref. [1] claim that ANM is also possible in a simpler case, i.e. in the overdamped regime where inertial term can be neglected.…”

Section: Preprint Submitted To Physicsmentioning

confidence: 99%

“…In Ref. [1], the authors apply the expression for the steady state probability current J (which is equal to the stationary averaged velocity v ) which is obtained from the exact solution of the master (Fokker-Planck type) equation corresponding to Eq. ( 1) and derived in Ref.…”

Section: Preprint Submitted To Physicsmentioning

confidence: 99%

“…In the paper [1] the authors consider overdamped motion of a particle in a one-dimensional symmetric spatially periodic potential V (x) under the influence of both zero-mean trichotomous noise ξ(t) [2] and a constant force F . The corresponding dimensionless Langevin equation reads [1]…”

mentioning

confidence: 99%

“…It is symmetric for d = 1/2 and this case was studied in Ref. [1]. Noise ξ(t) = {−a 0 , 0, a 0 } is a three-state stationary Markov process.…”

mentioning

confidence: 99%

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Comment on ‘Absolute negative mobility in a one-dimensional overdamped system’

Spiechowicz¹,

Kostur²,

Łuczka³

2016

Physics Letters A

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Recently Ru-Yin Chen et al. (Phys. Lett. A 379 (2015) 2169-2173) presented results on the absolute negative mobility (ANM) in a one-dimensional overdamped system and claimed that a new minimal model of ANM was proposed. We suggest that the authors introduced a mistake in their calculations. Then we perform a precise numerical simulation of the corresponding Langevin equation to show that the ANM phenomenon does not occur in the considered system.

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“…It is a precise numerical replica of Fig. 1 presented in [1]. According to the present state of the art about ANM it does not occur in the system described by Eq.…”

Section: Preprint Submitted To Physicsmentioning

confidence: 77%

“…The authors of Ref. [1] claim that ANM is also possible in a simpler case, i.e. in the overdamped regime where inertial term can be neglected.…”

Section: Preprint Submitted To Physicsmentioning

confidence: 99%

Section: Preprint Submitted To Physicsmentioning

confidence: 99%

mentioning

confidence: 99%

“…It is symmetric for d = 1/2 and this case was studied in Ref. [1]. Noise ξ(t) = {−a 0 , 0, a 0 } is a three-state stationary Markov process.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Comment on ‘Absolute negative mobility in a one-dimensional overdamped system’

Spiechowicz¹,

Kostur²,

Łuczka³

2016

Physics Letters A

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Anomalous transports in a space–time inseparable system

Chen

2019

Physica A: Statistical Mechanics and its Applications

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Absolute negative mobility in the anomalous diffusion

Chen

Nie

2017

Int. J. Mod. Phys. B

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Transport of an inertial Brownian particle driven by the multiplicative Lévy noise was investigated here. Numerical results indicate that: (i) The Lévy noise is able to induce absolute negative mobility (ANM) in the system, while disappearing in the deterministic case; (ii) the ANM can occur in the region of superdiffusion while disappearing in the region of normal diffusion, and the appropriate stable index of the Lévy noise makes the particle move along the opposite direction of the bias force to the maximum degree; (iii) symmetry breaking of the Lévy noise also causes the ANM effect. In addition, the intrinsic physical mechanism and conditions for the ANM to occur are discussed in detail. Our results have the implication that the Lévy noise plays an important role in the occurrence of the ANM phenomenon.

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Absolute negative mobility in a one-dimensional overdamped system

Cited by 3 publications

References 34 publications

Comment on ‘Absolute negative mobility in a one-dimensional overdamped system’

Comment on ‘Absolute negative mobility in a one-dimensional overdamped system’

Anomalous transports in a space–time inseparable system

Absolute negative mobility in the anomalous diffusion

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