Inertial effects on trapped active matter

Gutierrez-Martinez, Luis L.; Sandoval, Mario

doi:10.1063/5.0011270

Cited by 37 publications

(23 citation statements)

References 34 publications

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“…The understanding of these aspects requires a description taking into account the acceleration of the particles, in contrast with the one commonly employed to describe self-propelled systems. As recent studies have shown, inertia affects many properties of active particles, such as their pressure [13][14][15][16][17], transport properties [18,19], the stochastic energetics [20] and, even, anomalous responses to boundary driving [21]. Besides, inertial forces play an important role also at the collective level: i) affecting the clustering typical of active matter and, in particular, suppressing the phase-coexistence [22][23][24][25][26] and changing several features of the transition [27] ii) modifying some properties of dense phases of active matter [28], such as the active temperature in the homogeneous [29] and inhomogeneous phases [30].…”

Section: Introductionmentioning

confidence: 99%

Inertial self-propelled particles

Caprini,

Marconi

2020

Preprint

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We study a self-propelled particle moving in a solvent with the active Ornstein Uhlenbeck dynamics in the underdamped regime to evaluate the influence of the inertia. We focus on the properties of potential-free and harmonically confined underdamped active particles, studying how the singleparticle trajectories modify for different values of the drag coefficient. In both cases, we solve the dynamics in terms of correlation matrices and steady-state probability distribution functions revealing the explicit correlations between velocity and active force. We also evaluate the influence of the inertia on the time-dependent properties of the system, discussing the mean square displacement and the time-correlations of particle positions and velocities. Particular attention is devoted to the study of the Virial active pressure unveiling the role of the inertia on this observable.

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Section: Introductionmentioning

confidence: 99%

Inertial self-propelled particles

Caprini,

Marconi

2020

Preprint

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“…In conclusion, the PAM both unifies ABPs and AOUPs and provides a crucial step towards more realistic modeling of overdamped (dry) active motion in general, which should in future work be employed to provide an improved fit of experimental swim-velocity distributions. Investigating the effect of the swim-velocity fluctuations could represent an interesting perspective for circle swimming [92][93][94][95][96][97] , systems with spatial-dependent swim velocity [98][99][100][101][102][103] , and inertial dynamics [104][105][106][107][108] even affecting the orientational degrees of freedom 109,110 . The generalization of PAM to these cases could be responsible for new intriguing phenomena which will be investigated in future works.…”

Section: Parental Active Modelmentioning

confidence: 99%

The Parental Active Model: a unifying stochastic description of self-propulsion

Caprini,

Sprenger,

Löwen

et al. 2022

Preprint

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We propose a new overarching model for self-propelled particles that flexibly generates a full family of "descendants". The general dynamics introduced in this paper, which we denote as "parental" active model (PAM), unifies two special cases commonly used to describe active matter, namely active Brownian particles (ABPs) and active Ornstein-Uhlenbeck particles (AOUPs). We thereby document the existence of a deep and close stochastic relationship between them, resulting in the subtle balance between fluctuations in the magnitude and direction of the self-propulsion velocity. Besides illustrating the relation between these two common models, the PAM can generate additional offspring, interpolating between ABP and AOUP dynamics, that could provide more suitable models for a large class of living and inanimate active matter systems, possessing characteristic distributions of their self-propulsion velocity. Our general model is evaluated in the presence of a harmonic external confinement. For this reference example, we present a two-state phase diagram which sheds light on the transition in the shape of the positional density distribution, from a unimodal Gaussian for AOUPs to a Mexican-hat-like profile for ABPs.

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“…We study a two-dimensional system of N interacting active particles using the underdamped version of the Active Brownian Particles (ABP) model [39][40][41][42][43][44][45][46] . The particles are spatially confined in an annular container created by the presence of repulsive soft walls which will be described in the following.…”

Section: Modelmentioning

confidence: 99%

Collective effects in confined Active Brownian Particles

Caprini,

Maggi,

Marconi

2021

Preprint

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We investigate a two-dimensional system of active particles confined to a narrow annular domain. Despite the absence of explicit interactions among the velocities or the active forces of different particles, the system displays a transition from a disordered and stuck state to an ordered state of global collective motion where the particles rotate persistently clockwise or anticlockwise. We describe this behavior by introducing a suitable order parameter, the velocity polarization, measuring the global alignment of the particles' velocities along the tangential direction of the ring. We also measure the spatial velocity correlation function and its correlation length to characterize the two states. In the rotating phase, the velocity correlation displays an algebraic decay that is analytically predicted together with its correlation length while in the stuck regime the velocity correlation decays exponentially with a correlation length that increases with the persistence time. In the first case, the correlation (and, in particular, its correlation length) does not depend on the active force but the system size only. The global collective motion, an effect caused by the interplay between finite-size, periodicity, and persistent active forces, disappears as the size of the ring becomes infinite, suggesting that this phenomenon does not correspond to a phase transition in the usual thermodynamic sense.

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Inertial effects on trapped active matter

Cited by 37 publications

References 34 publications

Inertial self-propelled particles

Inertial self-propelled particles

The Parental Active Model: a unifying stochastic description of self-propulsion

Collective effects in confined Active Brownian Particles

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