Collective behavior of interacting self-propelled particles
Andras Czirok, Tamas Vicsek

TL;DR
This paper reviews models of self-propelled particles inspired by biological systems, focusing on their collective behavior and the results from large-scale simulations and theoretical analysis.
Contribution
It provides a summary of recent simulation and theoretical results on the collective dynamics of interacting self-propelled particles.
Findings
Large-scale simulations reveal phase transitions in collective motion.
Theoretical models help explain the emergence of ordered states.
Interactions lead to complex, non-equilibrium behaviors.
Abstract
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 local average direction of motion. We summarize some of the results of large scale simulations and theoretical approaches to the problem.
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