Entropy production of an active particle in a box

Razin, Nitzan

doi:10.1103/physreve.102.030103

Cited by 34 publications

(41 citation statements)

References 57 publications

(94 reference statements)

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“…Run-and-tumble motion in a harmonic potential: field theory and entropy production which shows that the local entropy production rate [34,54] for right-moving particles is…”

Section: J Stat Mech (2021) 063203mentioning

confidence: 99%

Run-and-tumble motion in a harmonic potential: field theory and entropy production

Garcia-Millan¹,

Pruessner²

2021

J. Stat. Mech.

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Run-and-tumble (RnT) motion is an example of active motility where particles move at constant speed and change direction at random times. In this work we study RnT motion with diffusion in a harmonic potential in one dimension via a path integral approach. We derive a Doi-Peliti field theory and use it to calculate the entropy production and other observables in closed form. All our results are exact.

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“…Run-and-tumble motion in a harmonic potential: field theory and entropy production which shows that the local entropy production rate [34,54] for right-moving particles is…”

Section: J Stat Mech (2021) 063203mentioning

confidence: 99%

Run-and-tumble motion in a harmonic potential: field theory and entropy production

Garcia-Millan¹,

Pruessner²

2021

J. Stat. Mech.

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“…with P(v) normalized and defined on the interval −v 0 ≤ v ≤ v 0 . For d = 1 the distribution is represented in terms of delta functions as drifts in this dimension are limited to two values v = ±v 0 [7],…”

Section: B Particles In a Confinement With 1d Geometrymentioning

confidence: 99%

“…The results are shown in Fig. (7). Unlike for the RTP particles, the numerical method is less robust and larger number of iteration is required to reach convergence.…”

Section: B Abp Particlesmentioning

confidence: 99%

“…Instead we use the exact expression for the RTP s ystem in d = 1, where P(v) = 1 2 [δ (v − v 0 ) + δ (v + v 0 )], found in Ref. [7] in Eq. ( 17) and given by…”

Section: What Is the True Equilibrium?mentioning

confidence: 99%

“…Despite the apparent simplicity of an ideal-gas model of propelled particles, there is no available analytical solution for stationary distributions. One noted exception is the RTP model in one dimension with drift limited to two values, v = ±v 0 [1][2][3][4][5][6][7]. Yet even a simple extension to three drifts v = 0, ±v 0 leads to considerable increase in complexity [8].…”

Section: Introductionmentioning

confidence: 99%

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Stationary distributions of propelled particles as a system with quenched disorder

Frydel

2021

Phys. Rev. E

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This article is the exploration of the viewpoint within which propelled particles in a steady state are regarded as a system with quenched disorder. The analogy is exact when the rate of the drift orientation vanishes and the linear potential, representing the drift, becomes part of an external potential, resulting in the effective potential u e f f . The stationary distribution is then calculated as a disorder-averaged quantity by considering all contributing drift orientations. To extend this viewpoint to the case when a drift orientation evolves in time, we reformulate the relevant Fokker-Planck equation as a self-consistent relation. One interesting aspect of this formulation is that it is represented in terms of the Boltzmann factor e −β u e f f . In the case of a run-and-tumble model, the formulation reveals an effective interaction between particles.

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The run-and-tumble particle model with four-states: Exact solution at zero temperature

Frydel

2022

Physics of Fluids

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This paper considers the four-state run-and-tumble particle model (RTP) at zero temperature. The model is an extension of the RTP model in one-dimension for two drift velocities, v=±v0. This model is exactly solvable and imparts valuable insights for systems with finite temperature. However, at zero temperature, it yields uniform distributions for all parameter values and fails to provide any information about the structure of stationary distributions. To arrive at the model that more completely describes a zero temperature case, it is necessary to increase the number of discrete velocities. The four-state model with drifts v=±v0,±γv0 (where 0≤γ≤1) is the simplest such an extension. In this paper, the four-state model at zero temperature is solved exactly and analyzed. The resulting stationary distributions indicate that fast particles accumulate at the walls and the slow particles are depleted. Taken all particles together, a dominant trend is accumulation, similar to what is observed for the two-state model for D > 0, however, reflecting a different physics behind it.

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Entropy production of an active particle in a box

Cited by 34 publications

References 57 publications

Run-and-tumble motion in a harmonic potential: field theory and entropy production

Run-and-tumble motion in a harmonic potential: field theory and entropy production

Stationary distributions of propelled particles as a system with quenched disorder

The run-and-tumble particle model with four-states: Exact solution at zero temperature

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