Collective behavior of interacting self-propelled particles

2000/06/01 by Andras Czirok, András Czirók, Tamás Vicsek +1 · 381 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Classical mechanics #Collective behavior #Collective motion #Computer science #Curse of dimensionality #Diffusion and Search Dynamics #Distributed Control Multi-Agent Systems #Mathematics #Micro and Nano Robotics #Motion (physics) #Noise (video) #Physics #Quantum mechanics #Scale (ratio) #Scaling #Sociology #Statistical physics #cond-mat.stat-mech

paper · pdf · doi:10.1016/s0378-4371(00)00013-3

published in Physica A Statistical Mechanics and its Applications 281(1-4), 17-29 (Elsevier BV)

openalex publication_date 2000/06/01 · arxiv created 2006/11/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Spontaneously ordered motion of self-propelled particles
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
• Ordering, metastability and phase transitions in two-dimensional systems

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