Run-and-tumble motion in a linear ratchet potential: Analytic solution, power extraction, and first-passage properties

Roberts, Connor; Zhen, Zigan

doi:10.1103/physreve.108.014139

Cited by 5 publications

(2 citation statements)

References 71 publications

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“…In this case, the active motion takes place in the presence of a periodic asymmetric potential, giving rise to unidirectional motion with a stationary flow of particles, J R + J L ̸ = 0. In the case of a piecewise-linear ratchet potential, the entropy production for particles with equal tumbling rates and speeds was analyzed in [48].…”

Section: General Run-and-tumble Motionmentioning

confidence: 99%

Entropy Production of Run-and-Tumble Particles

Paoluzzi,

Puglisi,

Angelani

2024

Entropy

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We analyze the entropy production in run-and-tumble models. After presenting the general formalism in the framework of the Fokker–Planck equations in one space dimension, we derive some known exact results in simple physical situations (free run-and-tumble particles and harmonic confinement). We then extend the calculation to the case of anisotropic motion (different speeds and tumbling rates for right- and left-oriented particles), obtaining exact expressions of the entropy production rate. We conclude by discussing the general case of heterogeneous run-and-tumble motion described by space-dependent parameters and extending the analysis to the case of d-dimensional motions.

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Section: General Run-and-tumble Motionmentioning

confidence: 99%

Entropy Production of Run-and-Tumble Particles

Paoluzzi,

Puglisi,

Angelani

2024

Entropy

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“…Totally absorbing/reflecting boundaries are considered in [11,15,16]; the case of partial absorption has been investigated in [17,18]; sticky boundaries, allowing particles accumulation, are analyzed in [19]. There are also many studies that deal with the boundary problem for RT particles in a variety of contexts, as, for example, considering resetting processes [20][21][22][23][24], diffusion terms in kinetic equations [25], space-dependent speed [26], confining potentials [27,28], ratchet effects [29,30], extremal statistics [31], fractional equations [32], encounter-based absorption [33,34]. While previous work provides a fairly clear picture of the possible cases of boundary conditions, a thorough discussion of their role and a comprehensive treatment is still lacking.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional run-and-tumble motions with generic boundary conditions

Angelani

2023

J. Phys. A: Math. Theor.

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The motion of run-and-tumble particles in 1D finite domains are analyzed in the presence of generic boundary conditions. These describe accumulation at walls, where particles can either be absorbed at a given rate, or tumble, with a rate that may be, in general, different from that in the bulk. This formulation allows us to treat in a unified way very different boundary conditions (fully and partially absorbing/reflecting, sticky, sticky-reactive and sticky-absorbing boundaries) which can be recovered as appropriate limits of the general case. We report the general expression of the mean exit time, valid for generic boundaries, discussing many case studies, from equal boundaries to more interesting cases of different boundary conditions at the two ends of the domain, resulting in nontrivial expressions of mean exit times.

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Collective motion of pulsating active particles in confined structures

Liu,

Zhu,

2024

New J. Phys.

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The collective motion of pulsating active particles with periodic size contraction is investigated in a two-dimensional asymmetric channel. Our ﬁndings reveal that changes in particle size can act as a non-equilibrium driving force, disrupting the system’s thermodynamic equilibrium and leading to the transformation of self-contraction motion into directional motion in the asymmetric channel. The speciﬁc direction of motion is dictated by the symmetrical properties of the channel. Furthermore, our study identiﬁes an optimal degree of channel opening (or self-pulsation frequency) at which the average velocity reaches its peak value. At lower frequencies, the average velocity demonstrates a peak function in relation to the self-pulsation amplitude (or particle number density). Conversely, at higher frequencies, the average velocity increases with the self-pulsation amplitude (or particle number density). The system exhibits three distinct states: the arrested ordered state, disordered state, and cycling ordered state. Notably, particle rectiﬁcation reaches its optimum

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Run-and-tumble motion in a linear ratchet potential: Analytic solution, power extraction, and first-passage properties

Cited by 5 publications

References 71 publications

Entropy Production of Run-and-Tumble Particles

Entropy Production of Run-and-Tumble Particles

One-dimensional run-and-tumble motions with generic boundary conditions

Collective motion of pulsating active particles in confined structures

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