First-order phase transition in a model of self-propelled particles with variable angular range of interaction

Durve, Mihir; Sayeed, Ahmed

doi:10.1103/physreve.93.052115

Cited by 33 publications

(22 citation statements)

References 37 publications

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“…In other words, if the magnitude of noise is not too large, there is a sharp phase transition as the sensing angle increases. This sharp phase transition is also reported for two-dimensional model in [18]. Moreover, the phase transition as the sensing angle increases in the presence of passive sensing (figure 2) appears more gradual in comparison to the phase transition when particles only use active sensing in figure 3.…”

Section: Simulationssupporting

confidence: 78%

“…Therefore, no phase transition with respect to noise happens for the case with sensing angle is less than π 2 . Durve and Sayeed use the same model to study polarization as sensing angle is varied [18]. The authors find that the phase transition is of the first order when sensing angle is varied, while it is of the second order when the radius of the circular neighborhood around the particle is varied.…”

Section: Introductionmentioning

confidence: 99%

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Collective behavior in groups of self-propelled particles with active and passive sensing inspired by animal echolocation

Shirazi

Abaid

2018

Phys. Rev. E

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Collective behavior is observed in many physical and biological systems and has been studied through agent-based models, including the Vicsek model which enforces aligned motion among agents. The behaviors produced by these models are highly dependent on the type of sensing individuals use. In nature, bats successfully use a complex form of sensing, namely, active echolocation in a relatively narrow beam and passive eavesdropping on their conspecifics' sound over a wider volume. Inspired by this system, we investigate whether augmenting an active sensing mechanism with passive sensing can improve the collective behavior of the group. A three-dimensional Vicsek-type model is presented to study the effects of combining active and passive sensing on collective behavior of a group of particles in the presence of noise. Phase transition is observed in both the presence and absence of passive sensing, yet the range of parameters for which ordered and disordered group states exist dramatically changes when passive sensing is implemented. Notably, we find numerous cases of the model for which the implementation of passive sensing increases the robustness of the collective behavior to noise.

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Section: Simulationssupporting

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Collective behavior in groups of self-propelled particles with active and passive sensing inspired by animal echolocation

Shirazi

Abaid

2018

Phys. Rev. E

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“…The issue of non-reciprocity has been incidentally encountered (but not addressed specifically) in a few studies that explore the role of limited vision-cone of active, interacting agents in a flock. Angular restriction on the reorientation of an individual agent within a flock alone can facilitate ordering [55] and can also affect the thermodynamic character of the order-disorder transition occuring within the flocks [56]. It was also observed that angular restriction on interaction neighborhood in Vicsek model can reduce time required to reach ordered state from a disordered state [57].…”

Section: Introductionmentioning

confidence: 99%

Active particle condensation by non-reciprocal and time-delayed interactions

2018

Self Cite

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We consider the flocking of self-propelling agents in two dimensions, each of which communicates with its neighbors within a limited vision-cone. Also, the communication occurs with some time-delay. The communication among the agents are modeled by Vicsek rules. In this study we explore the combined effect of non-reciprocal interaction (induced by limited vision-cone) among the agents and the presence of delay in the interactions on the dynamical pattern formation within the flock. We find that under these two influences, without any position-based attractive interactions or confining boundaries, the agents can spontaneously condense into "drops". Though the agents are in motion within the drop, the drop as a whole is pinned in space. We find that this novel state of the flock has a well-defined order and it is stabilized by the noise present in the system.

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“…It can even be found in variants of simple flocking models such as the Vicsek model, where local alignment of constantspeed particles competes with noise [22][23][24]. In [15][16][17][18][19], the introduction of a limited angle of vision was shown to have an influence on the shape of cohesive moving groups, on the degree of ordering, etc. Asymmetric interactions are also present in 'metric-free' models introduced in the context of bird flocks [11][12][13][14].…”

mentioning

confidence: 99%

Fore-aft asymmetric flocking

et al. 2017

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We show that fore-aft asymmetry, a generic feature of living organisms and some active matter systems, can have a strong influence on the collective properties of even the simplest flocking models. Specifically, an arbitrarily weak asymmetry favoring front neighbors changes qualitatively the phase diagram of the Vicsek model. A region where many sharp traveling band solutions coexist is present at low noise strength, below the Toner-Tu liquid, at odds with the phase-separation scenario well describing the usual isotropic model. Inside this region, a 'banded liquid' phase with algebraic density distribution coexists with band solutions. Linear stability analysis at the hydrodynamic level suggests that these results are generic and not specific to the Vicsek model.Non-reciprocal (effective) interactions are interesting but rather rare in physical systems [1]. They are, however, likely to be more common in active matter. A nice example of action-reaction symmetry breaking was given recently by Soto and Golestanian for catalytically active colloids [2]. A strong case is that of self-propelled objects interacting solely via volume exclusion: their shape governs their effective interaction (e.g. aligning or not) and thus their collective behavior [3]. In the context of animal and human collective motion, asymmetric interactions are quite generic, and this asymmetry lies mostly in the relative position and weight of neighbors: the importance and quality of the information perceived by living organisms usually varies with its origin: In animal groups one often -but not always, cf. the cannibalistic behavior of locusts in [4,5]-expects that frontal stimuli such as neighbor positions matter more to an individual than events taking place in its back. Somewhat surprisingly, this generic fore-aft asymmetry has not been much investigated per se. It is explicitly mentioned in some works [6], and implicitly present in a number of models, see, e.g. [7], and the rather complicated escape-pursuit mechanisms introduced in [8,9] to describe marching locusts, or the 'motion guided attention' of [10]. It can even be found in variants of simple flocking models such as the Vicsek model, where local alignment of constantspeed particles competes with noise [22][23][24]. In [15][16][17][18][19], the introduction of a limited angle of vision was shown to have an influence on the shape of cohesive moving groups, on the degree of ordering, etc. Asymmetric interactions are also present in 'metric-free' models introduced in the context of bird flocks [11][12][13][14].In all cases mentioned above, it was not shown that fore-aft asymmetry alone can lead to qualitatively new collective phenomena. Recently, though, the influence of fore-aft asymmetric neighbors was investigated in the context of flocking models incorporating fast 'inertial spin' variables [20,21]. Both these works argue that the combination of asymmetric neighbors and fast variables induces new collective behavior.In this Letter, we show that fore-aft asymmetry alone has a strong i...

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First-order phase transition in a model of self-propelled particles with variable angular range of interaction

Cited by 33 publications

References 37 publications

Collective behavior in groups of self-propelled particles with active and passive sensing inspired by animal echolocation

Collective behavior in groups of self-propelled particles with active and passive sensing inspired by animal echolocation

Active particle condensation by non-reciprocal and time-delayed interactions

Fore-aft asymmetric flocking

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