Rectification and diffusion of self-propelled particles in a two-dimensional corrugated channel

Ai, Bao-quan; Chen, Qiu-yan; He, Yi; Li, Feng-guo; Zhong, Wei

doi:10.1103/physreve.88.062129

Cited by 65 publications

(35 citation statements)

References 55 publications

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“…They produce a persistent current in one degree of freedom by rectifying fluctuations with some asymmetric potential. In recent years, such ratchet models have been used to illustrate nonequilibrium aspects of active matter [5,[50][51][52][53][54][55][56][57][58][59][60][61]. Particularly inspiring are experiments where asymmetric cog-shaped obstacles immersed in a bacterial bath autonomously undergo persistent rotation [62][63][64]-an observation that would be prohibited in an equilibrium system due to time-reversal symmetry.…”

Section: Introductionmentioning

confidence: 99%

Autonomous Engines Driven by Active Matter: Energetics and Design Principles

et al. 2019

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Because of its nonequilibrium character, active matter in a steady state can drive engines that autonomously deliver work against a constant mechanical force or torque. As a generic model for such an engine, we consider systems that contain one or several active components and a single passive one that is asymmetric in its geometrical shape or its interactions. Generally, one expects that such an asymmetry leads to a persistent, directed current in the passive component, which can be used for the extraction of work. We validate this expectation for a minimal model consisting of an active and a passive particle on a one-dimensional lattice. It leads us to identify thermodynamically consistent measures for the efficiency of the conversion of isotropic activity to directed work. For systems with continuous degrees of freedom, work cannot be extracted using a one-dimensional geometry under quite general conditions. In contrast, we put forward two-dimensional shapes of a movable passive obstacle that are best suited for the extraction of work, which we compare with analytical results for an idealised work-extraction mechanism. For a setting with many noninteracting active particles, we use a mean-field approach to calculate the power and the efficiency, which we validate by simulations. Surprisingly, this approach reveals that the interaction with the passive obstacle can mediate cooperativity between otherwise noninteracting active particles, which enhances the extracted power per active particle significantly. arXiv:1905.00373v2 [cond-mat.stat-mech]

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Section: Introductionmentioning

confidence: 99%

Autonomous Engines Driven by Active Matter: Energetics and Design Principles

et al. 2019

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“…As in the context of self-propelled particle models [29][30][31][32], it is fruitful to understand the properties of isolated active units to provide a framework for understanding the nonequilibrium steady states that emerge in these complex systems. While there are few analytical results available to date [33][34][35][36][37][38], a number of numerical studies have been undertaken to understand the statistical properties of single active filaments [12,13,35,[37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Statistical properties of a tangentially driven active filament

Peterson¹,

Hagan²,

Baskaran³

2020

J. Stat. Mech.

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Active polymers play a central role in many biological systems, from bacterial flagella to cellular cytoskeletons. Minimal models of semiflexible active filaments have been used to study a variety of interesting phenomena in active systems, such as defect dynamics in active nematics, clustering and laning in motility assays, and conformational properties of chromatin in eukaryotic cells. In this paper, we map a semiflexible polymer to an exactly solvable active Rouse chain, which enables us to analytically compute configurational and dynamical properties of active polymers with arbitrary rigidity. Upon mapping back to the semiflexible filament, we see that the center of mass diffusion coefficient grows linearly with an activity parameter that is renormalized by the polymer persistence length. These results closely agree with numerical data obtained from microscopic simulations.

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“…The problem of rectifying motion in random environments is a long-standing issue, which has many theoretical and practical implications [37,38]. Active matter can be rectified on the asymmetric substrates without external driving, which may open a wealth of possibilities such as cargo transport, sorting, or micromachine construction [39][40][41][42][43][44][45]. Rectification of active matter confined to a surface has been mainly studied on planar surfaces.…”

Section: Introductionmentioning

confidence: 99%

Collective transport of polar active particles on the surface of a corrugated tube

Zhu

Liao

2019

New J. Phys.

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We study collective transport of polar active particles on the surface of a corrugated tube. Particles can be rectified on the surface of the asymmetric tube. The system shows different motion patterns which are determined by the competition between alignment strength and rotational diffusion. For a given alignment strength, there exist transitions from the circulating band state to the travelling state, and finally to the disordered state when continuously changing rotational diffusion. The circulating band is a purely curvature-driven effect with no equivalent in the planar model. The rectification is greatly improved in the travelling state and greatly suppressed in the circulating band state. There exist optimal parameters (modulation amplitude, alignment strength, rotational diffusion, and selfpropulsion speed) at which the rectified efficiency takes its maximal value. Remarkably, in the travelling state, we can observe current reversals by changing translational diffusion.

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Rectification and diffusion of self-propelled particles in a two-dimensional corrugated channel

Cited by 65 publications

References 55 publications

Autonomous Engines Driven by Active Matter: Energetics and Design Principles

Autonomous Engines Driven by Active Matter: Energetics and Design Principles

Statistical properties of a tangentially driven active filament

Collective transport of polar active particles on the surface of a corrugated tube

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