Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions

Liu, Jian; Zhu, Yao-hui; He, Pei-Song; Chen, Xiaosong; Bao, Jing‐Dong

doi:10.1140/epjb/e2017-80060-5

Cited by 7 publications

(4 citation statements)

References 34 publications

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“…, which can also present a power law shape, hence the anomalous diffusion of the correlated CTRW could be faster than the uncoupled one (see table 1 for the specific results of the MSD Δx 2 (t) of the correlated CTRW [25,26]).…”

Section: Correlated Continuous-time Random Walkmentioning

confidence: 99%

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Correlated continuous-time random walk with stochastic resetting

Zhang¹,

Hu²,

Liu³

2022

J. Stat. Mech.

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It is known that the introduction of stochastic resetting in an uncorrelated random walk process can lead to the emergence of a stationary state, i.e. the diffusion evolves towards a saturation state, and a steady Laplace distribution is reached. In this paper, we turn to study the anomalous diffusion of the correlated continuous-time random walk considering stochastic resetting. Results reveal that it displays quite different diffusive behaviors from the uncorrelated one. For the weak correlation case, the stochastic resetting mechanism can slow down the diffusion. However, for the strong correlation case, we find that the stochastic resetting cannot compete with the space-time correlation, and the diffusion presents the same behaviors with the one without resetting. Meanwhile, a steady distribution is never reached.

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Section: Correlated Continuous-time Random Walkmentioning

confidence: 99%

“…Based on the above concerns, in this paper, within the space-time correlated CTRW model we presented previously [25][26][27], we are devoted to the anomalous diffusion of the correlated CTRW considering the stochastic resetting mechanism. The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Correlated continuous-time random walk with stochastic resetting

Zhang¹,

Hu²,

Liu³

2022

J. Stat. Mech.

Self Cite

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“…The transport properties of Brownian particles confined in 2D or 3D channel is a key issue for a variety of situations in recent years due to its ubiquitous importance in many disciplinaries ranging from physicochemical to biological systems. Some biological processes such as ion pumping, neuronal signaling, porous media, and photosynthesis, rely on the transport of ions across membranes or through channels [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]. Brownian particles in regular arrays of rigid obstacles, and also in the corrugated geometry channel show many interesting phenomena.…”

Section: Introductionmentioning

confidence: 99%

Transport of Finite Size Self-Propelled Particles Confined in a 2D Zigzag Channel with Gaussian Colored Noise

Wang,

Wu,

Zhang

et al. 2020

Preprint

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The directional transport of finite size self-propelled Brownian particles confined in a 2D zigzag channel with colored noise is investigated. The noises(noise parallel to x-axis and y-axis), the asymmetry parameter ∆k, the ratio f (ratio of the particle radius and the bottleneck half width), the self-propelled speed v 0 have joint effect on the particles. The average velocity of self-propelled particles is significantly different from passive particles. The average velocity exhibits complicated behavior with increasing self-propelled speed v 0 .

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“…14 As known, directed motion controllability has become a focal point of research in nonequilibrium statistical physics which inspired a plethora of new microscale devices displaying unusual transport features. [15][16][17][18][19][20][21][22][23][24][25][26][27][28] Most studies on noise induced particles transport phenomenon assumed that the noise source has a Gaussian distribution (either white or colored), and ignored the inertia term of the particle. However, some experimental results offer strong indications that the noise source could be non-Gaussian.…”

Section: Introductionmentioning

confidence: 99%

The transport phenomenon of inertia Brownian particles in a periodic potential with non-Gaussian noise

et al. 2019

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The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement(or diffusion), but large Q will inhibit this phenomenon. For large value of Q, the average velocity V (or the diffusion coefficient D) has a maximum with increasing correlation time τ . But for small value of Q, V (or D) decreases with increasing τ . In some cases, for the same value of Q and the same value of τ , non-Gaussian noise can induce particles directional movement(or diffusion), but Gaussian colored noise can not.

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Transient bi-fractional diffusion: space-time coupling inducing the coexistence of two fractional diffusions

Cited by 7 publications

References 34 publications

Correlated continuous-time random walk with stochastic resetting

Correlated continuous-time random walk with stochastic resetting

Transport of Finite Size Self-Propelled Particles Confined in a 2D Zigzag Channel with Gaussian Colored Noise

The transport phenomenon of inertia Brownian particles in a periodic potential with non-Gaussian noise

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