The steady current analysis in a periodic channel driven by correlated noises

Mei, Ruoxing; Xu, Yong; Li, Yongge; Kurths, Jürgen

doi:10.1016/j.chaos.2020.109766

Cited by 12 publications

(4 citation statements)

References 55 publications

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“…More recent applications of coloured noise include population dynamics [112] or neuron models [101][102][103][104][105][106][107][108][109][110][111][112][113]. Exponentially correlated noise is usually generated by an Ornstein-Uhlenbeck process [114][115][116][117][118][119][120][121][122]. Such a noise process depends on two parameters, the correlation time and the noise intensity.…”

Section: Introductionmentioning

confidence: 99%

Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise

Mutothya

et al. 2021

J. Phys. A: Math. Theor.

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We study the stochastic motion of a test particle in a heterogeneous medium in terms of a position dependent diffusion coefficient mimicking measured deterministic diffusivity gradients in biological cells or the inherent heterogeneity of geophysical systems. Compared to previous studies we here investigate the effect of the interplay of anomalous diffusion effected by position dependent diffusion coefficients and coloured non-Gaussian noise. The latter is chosen to be distributed according to Tsallis’ q-distribution, representing a popular example for a non-extensive statistic. We obtain the ensemble and time averaged mean squared displacements for this generalised process and establish its non-ergodic properties as well as analyse the non-Gaussian nature of the associated displacement distribution. We consider both non-stratified and stratified environments.

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Section: Introductionmentioning

confidence: 99%

Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise

Mutothya

et al. 2021

J. Phys. A: Math. Theor.

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“…As introduced in the model, there are two forces F ( t ) and G applied on the particle. Studies about transport in periodic channels and SR in double cavities have confirmed that an external force has a significant effect on the movement of particles [35,36,56]. In this part, by calculating relations between G , Ω, F 0 and η , influence mechanisms of external forces on SR in the triple cavity of figure 1 are explored.…”

Section: Resultsmentioning

confidence: 99%

Characterizing stochastic resonance in a triple cavity

Mei

et al. 2021

Phil. Trans. R. Soc. A.

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Many biological systems possess confined structures, which produce novel influences on the dynamics. Here, stochastic resonance (SR) in a triple cavity that consists of three units and is subjected to noise, periodic force and vertical constance force is studied, by calculating the spectral amplification η numerically. Meanwhile, SR in the given triple cavity and differences from other structures are explored. First, it is found that the cavity parameters can eliminate or regulate the maximum of η and the noise intensity that induces this maximum. Second, compared to a double cavity with similar maximum/minimum widths and distances between two maximum widths as the triple cavity, η in the triple one shows a larger maximum. Next, the conversion of the natural boundary in the pure potential to the reflection boundary in the triple cavity will create the necessity of a vertical force to induce SR and lead to a decrease in the maximum of η . In addition, η monotonically decreases with the increase of the vertical force and frequency of the periodic force, while it presents several trends when increasing the periodic force’s amplitude for different noise intensities. Finally, our studies are extended to the impact of fractional Gaussian noise excitations. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

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“…Random fluctuations-induced CTs have been often considered under the usual assumption of the Gaussian case, which describes small fluctuations in practice [15][16][17] . However, large jumps are always associated with a complex structure of the environment, which could not be described as the Gaussian noise.…”

Section: Introductionmentioning

confidence: 99%

Quantifying the parameter dependent basin of the unsafe regime of asymmetric Lévy-noise-induced critical transitions

et al. 2020

Appl. Math. Mech.-Engl. Ed.

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In real systems, the unpredictable jump changes of the random environment can induce the critical transitions (CTs) between two non-adjacent states, which are more catastrophic. Taking an asymmetric Lévy-noise-induced tri-stable model with desirable, sub-desirable, and undesirable states as a prototype class of real systems, a prediction of the noise-induced CTs from the desirable state directly to the undesirable one is carried out. We first calculate the region that the current state of the given model is absorbed into the undesirable state based on the escape probability, which is named as the absorbed region. Then, a new concept of the parameter dependent basin of the unsafe regime (PDBUR) under the asymmetric Lévy noise is introduced. It is an efficient tool for approximately quantifying the ranges of the parameters, where the noise-induced CTs from the desirable state directly to the undesirable one may occur. More importantly, it may provide theoretical guidance for us to adopt some measures to avert a noise-induced catastrophic CT.

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The steady current analysis in a periodic channel driven by correlated noises

Cited by 12 publications

References 55 publications

Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise

Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise

Characterizing stochastic resonance in a triple cavity

Quantifying the parameter dependent basin of the unsafe regime of asymmetric Lévy-noise-induced critical transitions

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