Turning with the others: novel transitions in an SPP model with coupling of accelerations

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dc.creatorSzabo, Peter
dc.creatorNagy, Mate
dc.creatorVicsek, Tamas
dc.date2008-08-12
dc.date.accessioned2026-07-07T12:39:44Z
dc.date.available2026-07-07T12:39:44Z
dc.descriptionWe consider a three dimensional, generalized version of the original SPP model for collective motion. By extending the factors influencing the ordering, we investigate the case when the movement of the self-propelled particles (SPP-s) depends on both the velocity and the acceleration of the neighboring particles, instead of being determined solely by the former one. By changing the value of a weight parameter s determining the relative influence of the velocity and the acceleration terms, the system undergoes a kinetic phase transition as a function of a behavioral pattern. Below a critical value of s the system exhibits disordered motion, while above it the dynamics resembles that of the SPP model. We argue that in nature evolutionary processes can drive the strategy variable s towards the critical point, where information exchange between the units of a system is maximal.
dc.description13 pages, 9 figures, submitted to Phys Rev E
dc.identifierhttps://arxiv.org/abs/0808.1662
dc.identifierhttp://arxiv.org/abs/0808.1662
dc.identifierPhys. Rev. E 79, 021908 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.021908
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219215
dc.subjectStatistical Mechanics
dc.titleTurning with the others: novel transitions in an SPP model with coupling of accelerations
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