2013/04/17 by C. A. Weber, Christoph A. Weber, Tomáš Hanke +11 · 145 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Binary number #Classical mechanics #Collective motion #Computer science #Material Dynamics and Properties #Materials science #Mathematics #Micro and Nano Robotics #Motion (physics) #Order (exchange) #Particle (ecology) #Particle system #Phase (matter) #Phase diagram #Phase space #Physics #Polar #Quantum mechanics #Range (aeronautics) #Space (punctuation) #Statistical physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.110.208001
published in Physical Review Letters 110(20), 208001 (American Physical Society) · 5 pages, 4 figures
arxiv created 2013/04/17 · openalex publication_date 2013/05/13 · arxiv updated 2016/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Vibrated polar disks have been used experimentally to investigate collective motion of driven particles, where fully ordered asymptotic regimes could not be reached. Here we present a model reproducing quantitatively the single, binary, and collective properties of this granular system. Using system sizes not accessible in the laboratory, we show in silico that true long-range order is possible in the experimental system. Exploring the model's parameter space, we find a phase diagram qualitatively different from that of dilute or pointlike particle systems.