PreprintarXiv licencearXiv
Scale-free correlations in extremely persistent active matter
Abstract
Scale-free correlations are believed to be generic in out of equilibrium systems but their explicit derivations are rare and often involve approximations. Here we analyze a system of infinitely persistent active Brownian particles in the low density and small-swim-velocity limit. We show that both the density and swim velocity correlations decay algebraically as r^{-(d+1)} (with logarithmic corrections in d=2). In reciprocal space these correlations manifest themselves as cusps at k=0. The analytical predictions are confirmed by numerical simulations. The results were obtained through interaction with Claude (Opus 4.8 and 5, and Fable 5) and verified by the author.
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BibTeX
@misc{szamel2026scalefree,
title = {{Scale-free correlations in extremely persistent active matter}},
author = {Grzegorz Szamel},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.27572},
eprint = {2608.27572},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27572},
}
RIS
TY - UNPB
TI - Scale-free correlations in extremely persistent active matter
AU - Grzegorz Szamel
PY - 2026
DA - 2026/08/27
PB - arXiv
DO - 10.48550/arxiv.2608.27572
UR - https://arxiv.org/abs/2608.27572
AB - Scale-free correlations are believed to be generic in out of equilibrium systems but their explicit derivations are rare and often involve approximations. Here we analyze a system of infinitely persistent active Brownian particles in the low density and small-swim-velocity limit. We show that both the density and swim velocity correlations decay algebraically as r^{-(d+1)} (with logarithmic corrections in d=2). In reciprocal space these correlations manifest themselves as cusps at k=0. The analytical predictions are confirmed by numerical simulations. The results were obtained through interaction with Claude (Opus 4.8 and 5, and Fable 5) and verified by the author.
ER -