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arXiv · 0808.1662

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

Peter Szabo·Mate Nagy·Tamas Vicsek
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Abstract

We 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.

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Peter Szabo, Mate Nagy, Tamas Vicsek. 2008-08-12. Turning with the others: novel transitions in an SPP model with coupling of accelerations. https://doi.org/10.1103/physreve.79.021908

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