Pressure and diffusion of active matter with inertia

Sandoval, Mario

doi:10.1103/physreve.101.012606

Cited by 47 publications

(38 citation statements)

References 28 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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“…We now turn to the special case of time-independent parameters defined by equations ( 1) and ( 2). These equations of motion were studied before in references [8,11,19]. Here we summarize essential known results but also provide new analytical results for the full time resolved mean displacement, velocity correlation function and mean-square displacement.…”

Section: Time-independent Inertiamentioning

confidence: 81%

“…While previous work [8,11,19] has considered constant particle mass and moment of inertia, here we generalize the model towards time-dependent parameters with a particular focus on a time-dependent particle mass m(t) and a time-dependent moment of inertia J(t) for the ro-…”

Section: Basic Model and Different Set-upsmentioning

confidence: 99%

“…Though highly relevant for swimming and flying organisms as well as for autonomous machines (e.g., flying insect-drones, marine robots) [7] mesoscale active matter at intermediate Reynolds number has been much less studied. Aiming at a simple description of a single particle first, one basic model is that of active Langevin motion [8][9][10][11]: it generalizes the common overdamped model of active Brownian motion [1,4,6] towards underdamped dynamics by including finite particle mass and moment of inertia in the equations of motion [12][13][14][15][16][17][18][19][20]. The inertial self-propelled particles may therefore be called "microflyers" (rather than "microswimmers"), sometimes they are also termed "runners", "walkers" or "hoppers" [21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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Time-dependent inertia of self-propelled particles: the Langevin rocket

Sprenger,

Jahanshahi,

Ivlev

et al. 2021

Preprint

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Many self-propelled objects are large enough to exhibit inertial effects but still suffer from environmental fluctuations. The corresponding basic equations of motion are governed by active Langevin dynamics which involve inertia, friction and stochastic noise for both the translational and orientational degrees of freedom coupled via the self-propulsion along the particle orientation. In this paper, we generalize the active Langevin model to time-dependent parameters and explicitly discuss the effect of time-dependent inertia for achiral and chiral particles. Realizations of this situation are manifold ranging from minirockets which are self-propelled by burning their own mass, dust particles in plasma which lose mass by evaporating material to walkers with expiring activity. Here we present analytical solutions for several dynamical correlation functions such as the mean-square displacement and the orientational and velocity autocorrelation functions. If the parameters exhibit a slow power-law in time, we obtain anomalous superdiffusion with a non-trivial dynamical exponent. Finally we constitute the "Langevin rocket" model by including orientational fluctuations in the traditional Tsiolkovsky rocket equation. We calculate the mean reach of the Langevin rocket and discuss different mass ejection strategies to maximize it. Our results can be tested in experiments on macroscopic robotic or living particles or in self-propelled mesoscopic objects moving in media of low viscosity such as complex plasma.

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“…Many-Body Phase Behavior.-While the impact of inertia on active dynamics has been recently investigated [38][39][40][42][43][44][45][46][47][48][49][50][51], a generalized understanding of its impact on active phase behavior has remained elusive. Before proceeding to demonstrate the impact of inertia on the many-body phase behavior of driven systems, we briefly discuss the model systems and their known equilibrium limit.…”

mentioning

confidence: 99%