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Collective motion
Tamás Vicsek, Anna Zafeiris
We review the observations and the basic laws describing the essential aspects of collective motion -- being one of the most common and spectacular manifestation of coordinated beh…
Novel type of phase transition in a system of self-driven particles
Tamas Vicsek, Andras Czirok, Eshel Ben-Jacob +2
A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interact…
Collective behavior of interacting self-propelled particles
Andras Czirok, Tamas Vicsek
We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the…
Spontaneously ordered motion of self-propelled particles
Andras Czirok, H. Eugene Stanley, Tamas Vicsek
We study a biologically inspired, inherently non-equilibrium model consisting of self-propelled particles. In the model, particles move on a plane with a velocity of constant magni…
Collective motion of self-propelled particles: kinetic phase transition in one dimension
Andras Czirok, Albert-Laszlo Barabasi, Tamas Vicsek
We demonstrate that a system of self-propelled particles (SPP) exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical p…