Mechanism of hypersensitive transport in tilted sharp ratchets

Mankin, Romi; Haljas, Astrid; Tammelo, Risto; Martila, Dmitri

doi:10.1103/physreve.68.011105

Cited by 19 publications

(8 citation statements)

References 16 publications

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“…(33) and (34)]. We emphasize that our mechanism of HDR is of a qualitatively different nature from a recently found effect, where a noise-induced enhancement of the current of Brownian particles in a tilted ratchet system has also been established [13,14]. In the mechanism reported here hypersensitivity is achieved by a combined influence of fast nonequilibrium noise and a tilt-force-induced change of the net potentials configuration.…”

Section: Discussionmentioning

confidence: 58%

“…It should be pointed out that in the present model the effect of HDR is pronounced in the case of a fast switching of thenonequilibrium noise, while in the models of Refs. [13,14] the hypersensitive transport is generated by low or moderate values of the switching rate.…”

Section: Discussionmentioning

confidence: 99%

“…Afterwards, a related phenomenon such as noiseinduced hypersensitive transport was found in some other systems with multiplicative colored noise. It was shown that in such a system a macroscopic flux (current) of matter appears under the influence of an ultrasmall dc driving [13,14].…”

Section: Introductionmentioning

confidence: 99%

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Anomalous mobility of Brownian particles in a tilted symmetric sawtooth potential

et al. 2004

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Overdamped motion of Brownian particles in a 1D periodic system with a simple symmetric sawtooth potential subjected to both unbiased thermal noise and spatially nonhomogeneous three-level colored noise is considered analytically. Upon application of a tilting force the particles exhibit anomalous transport properties, namely, absolute negative mobility, negative differential mobility, and the phenomenon of hypersensitive differential response. It is established that the mobility (differential mobility included) depends nonmonotonically on the parameters (switching rate, amplitude, and temperature) of nonequilibrium and thermal noises. The necessary conditions for various anomalous transport properties are found.

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Section: Discussionmentioning

confidence: 58%

Section: Discussionmentioning

confidence: 99%

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Anomalous mobility of Brownian particles in a tilted symmetric sawtooth potential

et al. 2004

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“…Examples are stochastic resonance [2,4], ratchet effect [5,6,7], hypersensitive transport [8,9], noise-induced phase transitions in spatially extended systems [3,10], and anomalous diffusion [11,12,13,14], to name a few. Particularly, experiments from many different areas reveal that anomalous diffusion with a mean-square displacement of particles ⟨r 2 (t)⟩ ∼ t α , (α 1) is ubiquitous in nature, signaling that slow transport, (α < 1), may be generic for complex heterogeneous materials [11].…”

Section: Introductionmentioning

confidence: 99%

Interspike interval distribution of a resonate-and-fire neuron model driven by Mittag-Leffler noise

Rekker¹,

Mankin²,

Paekivi³

2017

AIP Conference Proceedings

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Abstract. Based on the dynamics of a generalized Langevin equation subjected to a power-law-type memory kernel with a finite memory time a resonate-and-fire neuron model is considered. The effect of temporally correlated random neuronal input is modeled as a Mittag-Leffler noise. Using a first-passage-time formulation, the exact expression for the output interspike interval density is derived and its dependence on input parameters, especially on the memory time and on the memory exponent, is analyzed. Particularly, in the case of external white noise it is shown that at intermediate values of the memory exponent the survival probability (the probability that spikes are not generated) is significantly enhanced in comparison with the cases of strong and weak memory, which causes a resonance-like suppression of the interspike interval distribution versus the memory exponent. Similarities and differences between the behaviors of the models at internal and external noises are also discussed.

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“…At the same time, it is known that a rich variety of nonequilibrium phenomena in ratchets with a simple sawtooth potential and in bistable potential wells with parametric fluctuations can be engendered by changing various parameters of the colored noise [11,12], including the kurtosis, correlation time, and amplitude of the noise. Examples of a profound influence of the noise kurtosis are kurtosis induced current reversals in correlation ratchets [13], hypersensitive transport in tilted sharp ratchets [14], noise kurtosis controlled stochastic resonance of noisy oscillators [15], etc.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium transport phenomena in a tilted ratchet model subjected to a multiplicative trichotomous noise

Sauga¹,

Mankin²

2013

AIP Conference Proceedings

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The stationary probability current and the differential mobility of overdamped Brownian particles in a tilted ratchet system subjected to a multiplicative trichotomous noise and to an additive white noise are considered. The exact formula for the probability current is derived and the dependence of the current on the system parameters is analyzed. It is established that in certain regions of the system parameters the differential mobility can be either multiply enhanced or suppressed by variations of the tilting force. Moreover, in some narrow regions of the tilting force the current as a function of noise parameters shows a resonance-like behavior versus noise kurtosis and as well as versus the noise correlation time (stochastic resonance).

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Mechanism of hypersensitive transport in tilted sharp ratchets

Cited by 19 publications

References 16 publications

Anomalous mobility of Brownian particles in a tilted symmetric sawtooth potential

Anomalous mobility of Brownian particles in a tilted symmetric sawtooth potential

Interspike interval distribution of a resonate-and-fire neuron model driven by Mittag-Leffler noise

Nonequilibrium transport phenomena in a tilted ratchet model subjected to a multiplicative trichotomous noise

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