Memory effects in funnel ratchet of self-propelled particles

Hu, Cai-tian; Wu, Jianchun; Ai, Bao-quan

doi:10.1088/1742-5468/aa6de3

Cited by 6 publications

(7 citation statements)

References 64 publications

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“…Such a behavior is consistent with an exponential decay of the swimmingvelocity autocorrelation function, as experimentally measured in several active colloidal suspensions [6,17,18]. Furthermore, the ABP model is also the basis for the theoretical investigation of intricate phenomena in active matter, such as self-propelled motion in presence of external potentials [19][20][21], external flows [22][23][24], under geometrical confinement [25][26][27][28], as well as collective phenomena of self-propelled particles, e.g. dynamical clustering and motility-induced phase separation [8,11,12,[29][30][31].…”

Section: Introductionsupporting

confidence: 84%

Active particles with fractional rotational Brownian motion

Gomez-Solano

Sevilla

2020

J. Stat. Mech.

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We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like model of active motion with constant swimming speed, we derive the corresponding Fokker–Planck equation, from which we find the angular probability density of the particle orientation for arbitrary values of the Hurst exponent that characterizes the fractional rotational noise. We provide analytical expressions for the velocity autocorrelation function and the translational mean-squared displacement, which show that active diffusion effectively emerges in the long-time limit for all values of the Hurst exponent. The corresponding expressions for the active diffusion coefficient and the effective rotational diffusion time are also derived. Our results are compared with numerical simulations of active particles with rotational motion driven by fractional Brownian noise, with which we find an excellent agreement.

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Section: Introductionsupporting

confidence: 84%

Active particles with fractional rotational Brownian motion

Gomez-Solano

Sevilla

2020

J. Stat. Mech.

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“…Such a behavior is consistent with an exponential decay of the swimming-velocity autocorrelation function, as experimentally measured in several active colloidal suspensions [6,16,17]. Furthermore, the ABP model is also the basis for the theoretical investigation of intricate phenomena in active matter, such as self-propelled motion in presence of external potentials [18,19,20], external flows [21,22,23], under geometrical confinement [24,25,26], as well as collective phenomena of self-propelled particles, e.g. dynamical clustering and motility-induced phase separation [8,11,12,27,28,29].…”

Section: Introductionsupporting

confidence: 83%

“…Further steps of our work could also address the effect of retarded memory effects in the rotational friction [63,64], which could also modify the active diffusive behavior that emerges in the asymptotic limit. One more possible aspect to investigate is the influence of geometrical confinements, as it is known that rotational memory can significantly modify, e.g., the rectification of active particles in asymmetric periodic channels [24].…”

Section: Summary and Final Remarksmentioning

confidence: 99%

“…In this paper, we investigate the active motion of self-propelled particles whose orientation is driven by long-ranged correlated noise. While most of the Langevin models of active particles consider the effect of thermal fluctuations by means of delta-correlated Gaussian noises, only a few works have addressed the role of longlived correlations in the rotational motion [24,35,36,37,38,39]. In fact, memory effects caused by colored noise are a common feature of the orientational motion of active particles in complex media [38,40,41,42,43,44].…”

Section: Introductionmentioning

confidence: 99%

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Active particles with fractional rotational Brownian motion

Gomez-Solano,

Sevilla

2020

Preprint

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We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like model of active motion with constant swimming speed, we derive the corresponding Fokker-Planck equation, from which we find the angular probability density of the particle orientation for arbitrary values of the Hurst exponent that characterizes the fractional rotational noise. We provide analytical expressions for the velocity autocorrelation function and the translational mean-squared displacement, which show that active diffusion effectively emerges in the long-time limit for all values of the Hurst exponent. The corresponding expressions for the active diffusion coefficient and the effective rotational diffusion time are also derived. Our results are compared with numerical simulations of active particles with rotational motion driven by fractional Brownian noise, with which we find an excellent agreement.

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“…Although the effects of exponential memory have already been considered on the rotational motion of active Brownian particles [39,49,64,65], to our knowledge this is the first time that a general formulation encompassing long-lived correlations in the swimming velocity has been studied. Our approach has allowed us to uncover numerous patterns of active motion which are absent in the conventional AOUM.…”

Section: Summary and Final Remarksmentioning

confidence: 99%

Generalized Ornstein-Uhlenbeck model for active motion

2019

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We analyse the statistical physics of self-propelled particles from a general theoretical framework that properly describes the most salient characteristics of active motion in arbitrary spatial dimensions. Such a framework is devised in terms of a Smoluchowski-like equation for the probability density of finding a particle at a given position, that carries the Brownian component of the motion due to thermal fluctuations, and the active component due to the intrinsic persistent motion of the particle. The active probability current not only considers the gradient of the probability density at the current time, as in the standard Fick's law, but also the gradient of the probability density at all previous times weighted by a memory function that entails the main features of active motion. We focus in the consequences when the memory function depends only on time and decays as a power law in the short-time regime, and exponentially in the long-time one. In addition, we found analytical expressions for the Intermediate Scattering Function and the time dependence of the mean-squared displacement and the kurtosis. * fjsevilla@fisica.unam.mx † pcastrov@unach.mx

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Memory effects in funnel ratchet of self-propelled particles

Cited by 6 publications

References 64 publications

Active particles with fractional rotational Brownian motion

Active particles with fractional rotational Brownian motion

Active particles with fractional rotational Brownian motion

Generalized Ornstein-Uhlenbeck model for active motion

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