Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-08-12
Phys. Rev. E 79, 021908 (2009)
Physics
Condensed Matter
Statistical Mechanics
13 pages, 9 figures, submitted to Phys Rev E
Scientific paper
10.1103/PhysRevE.79.021908
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.
Nagy Máté
Szabo Peter
Vicsek Tamás
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