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Paper · arXiv

Active-learning mapping of the Vicsek model phase diagram

The Vicsek model is a minimal model of collective motion, capturing how local alignment interactions can generate macroscopic nonequilibrium order in systems such as bird flocks. In this work, we use active learning to map the Vicsek phase diagram as a function of noise strength, density, and particle speed. A neural-network classifier is trained on global polar-order labels, and classifier entropy is used to select new simulations near uncertain crossover regions. The resulting phase map resolves a high-noise disordered gas, a low-noise polar ordered regime, and an intermediate coexistence-candidate regime whose noise window shifts upward and broadens with increasing density. Independent...

AuthorsGrace T. Bai, Brandon B. Le
Primary categorycond-mat.soft
Published30 April 2026
Last updated at source26 June 2026
cond-mat.softcond-mat.stat-mechcs.LG
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