Active Brownian particles moving through disordered landscapes

Olsen, Kristian Stølevik; Angheluta, Luiza; Flekkøy, Eirik Grude

doi:10.1039/d0sm01942a

Cited by 14 publications

(5 citation statements)

References 36 publications

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“…with diffusion exponent α taking any positive real value. Such processes are present in a wide range of systems, with classical examples being the transport of Brownian particles in complex environments, such as fractals or media with power-law friction [47][48][49][50][51][52][53]. Anomalous diffusion has also been observed in granular systems, such as in the velocity profile of fluid-driven silo discharge [54], in granular gases near a shear instability [55], and in the height fluctuations in graphene [56].…”

Section: When the Underlying Process Is Anomalousmentioning

confidence: 99%

Dynamics of inertial particles under velocity resetting

Olsen,

Löwen

2024

J. Stat. Mech.

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We investigate stochastic resetting in coupled systems involving two degrees of freedom, where only one variable is reset. The resetting variable, which we think of as hidden, indirectly affects the remaining observable variable via correlations. We derive the Fourier–Laplace transforms of the observable variable’s propagator and provide a recursive relation for all the moments, facilitating a comprehensive examination of the process. We apply this framework to inertial transport processes where we observe the particle position while the velocity is hidden and is being reset at a constant rate. We show that velocity resetting results in a linearly growing spatial mean squared displacement at later times, independently of reset-free dynamics, due to resetting-induced tempering of velocity correlations. General expressions for the effective diffusion and drift coefficients are derived as a function of the resetting rate. A non-trivial dependence on the rate may appear due to multiple timescales and crossovers in the reset-free dynamics. An extension that incorporates refractory periods after each reset is considered, where post-resetting pauses can lead to anomalous diffusive behavior. Our results are of relevance to a wide range of systems, such as inertial transport where the mechanical momentum is lost in collisions with the environment or the behavior of living organisms where stop-and-go locomotion with inertia is ubiquitous. Numerical simulations for underdamped Brownian motion and the random acceleration process confirm our findings.

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Section: When the Underlying Process Is Anomalousmentioning

confidence: 99%

Dynamics of inertial particles under velocity resetting

Olsen,

Löwen

2024

J. Stat. Mech.

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“…Combined with other effects of geometric confinement present in media with a high filling fraction, this can give rise to anomalous diffusion of the sub-diffusive type, whereby the particles mean square displacement scales in time as

, with

[ 19 ]. This is typically attributed to power-law distributed trapping times, and is common for both passive and active systems in strongly heterogeneous environments [ 20 , 21 , 22 , 23 , 24 , 25 , 26 ].…”

Section: Introductionmentioning

confidence: 99%

Hyper-Ballistic Superdiffusion of Competing Microswimmers

Olsen,

Hansen,

Flekkøy

2024

Entropy

Self Cite

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Hyper-ballistic diffusion is shown to arise from a simple model of microswimmers moving through a porous media while competing for resources. By using a mean-field model where swimmers interact through the local concentration, we show that a non-linear Fokker–Planck equation arises. The solution exhibits hyper-ballistic superdiffusive motion, with a diffusion exponent of four. A microscopic simulation strategy is proposed, which shows excellent agreement with theoretical analysis.

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“…Experiments on this type of system have already demonstrated group formation, responsive states, and predator-prey model realizations 31 – 33 . There are also numerous possible ways to introduce spatial heterogeneities in active matter systems 34 – 39 . Techniques of this type could be used to mimic the S-I-R model with and without spatial disorder.…”

Section: Introductionmentioning

confidence: 99%

Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading

Forgács

Libál

Reichhardt

et al. 2022

Sci Rep

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The widely used susceptible-infected-recovered (S-I-R) epidemic model assumes a uniform, well-mixed population, and incorporation of spatial heterogeneities remains a major challenge. Understanding failures of the mixing assumption is important for designing effective disease mitigation approaches. We combine a run-and-tumble self-propelled active matter system with an S-I-R model to capture the effects of spatial disorder. Working in the motility-induced phase separation regime both with and without quenched disorder, we find two epidemic regimes. For low transmissibility, quenched disorder lowers the frequency of epidemics and increases their average duration. For high transmissibility, the epidemic spreads as a front and the epidemic curves are less sensitive to quenched disorder; however, within this regime it is possible for quenched disorder to enhance the contagion by creating regions of higher particle densities. We discuss how this system could be realized using artificial swimmers with mobile optical traps operated on a feedback loop.

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Active Brownian particles moving through disordered landscapes

Abstract: The dynamical behavior of active particles moving through a landscape with a spatially dependent friction coefficient is investigated analytically and numerically. A fast-relaxation regime and a strongly disordered regime are studied.

Cited by 14 publications

References 36 publications

Dynamics of inertial particles under velocity resetting

Dynamics of inertial particles under velocity resetting

Hyper-Ballistic Superdiffusion of Competing Microswimmers

Using active matter to introduce spatial heterogeneity to the susceptible infected recovered model of epidemic spreading

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