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Phase Diagram of the Two-Dimensional Vicsek Model
Abstract
Motivated by gaps in our current knowledge of the Vicsek model, we present a major update of its phase diagram in two space dimensions, summarizing comprehensive numerical simulations at length- and timescales never explored before. Our main conclusions are that multiple phase separation scenarios are at play, not just the simple microphase separation put forward in [Phys. Rev. Lett. 114, 068101 (2015)], and that the coexistence phase is subdivided in two. We also map out the region of metastability of the homogeneous Toner-Tu liquid phase.
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BibTeX
@misc{duan2026phase,
title = {{Phase Diagram of the Two-Dimensional Vicsek Model}},
author = {Yu Duan and Hugues Chaté and Benoît Mahault and Xia-qing Shi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26569},
eprint = {2610.26569},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26569},
}
RIS
TY - UNPB
TI - Phase Diagram of the Two-Dimensional Vicsek Model
AU - Yu Duan
AU - Hugues Chaté
AU - Benoît Mahault
AU - Xia-qing Shi
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26569
UR - https://arxiv.org/abs/2610.26569
AB - Motivated by gaps in our current knowledge of the Vicsek model, we present a major update of its phase diagram in two space dimensions, summarizing comprehensive numerical simulations at length- and timescales never explored before. Our main conclusions are that multiple phase separation scenarios are at play, not just the simple microphase separation put forward in [Phys. Rev. Lett. 114, 068101 (2015)], and that the coexistence phase is subdivided in two. We also map out the region of metastability of the homogeneous Toner-Tu liquid phase.
ER -