Generic long-range correlations in conserved nonequilibrium mixtures
Abstract
We study correlation functions in conserved nonequilibrium mixtures, including multi-temperature systems and non-reciprocal field theories. The corresponding linear theory is short-ranged, and nonlinearities are irrelevant in the renormalization-group sense. Nonetheless, we find that these nonlinearities generate long-ranged three-point correlations in the isotropic disordered phase. Our analytical predictions, which are based on a phenomenological theory, are confirmed by numerical simulations of Brownian colloids in contact with thermal baths at different temperatures. Dangerously irrelevant nonlinearities in nonequilibrium mixtures thus offer a new route to long-range correlations, supporting the hypothesis that such correlations are not the exception but the rule out of equilibrium.
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BibTeX
@misc{metzger2026generic,
title = {{Generic long-range correlations in conserved nonequilibrium mixtures}},
author = {Jessica Metzger and Yariv Kafri and Mehran Kardar and Julien Tailleur},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.14651},
eprint = {2606.14651},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.14651},
}
RIS
TY - UNPB
TI - Generic long-range correlations in conserved nonequilibrium mixtures
AU - Jessica Metzger
AU - Yariv Kafri
AU - Mehran Kardar
AU - Julien Tailleur
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2606.14651
UR - https://arxiv.org/abs/2606.14651
AB - We study correlation functions in conserved nonequilibrium mixtures, including multi-temperature systems and non-reciprocal field theories. The corresponding linear theory is short-ranged, and nonlinearities are irrelevant in the renormalization-group sense. Nonetheless, we find that these nonlinearities generate long-ranged three-point correlations in the isotropic disordered phase. Our analytical predictions, which are based on a phenomenological theory, are confirmed by numerical simulations of Brownian colloids in contact with thermal baths at different temperatures. Dangerously irrelevant nonlinearities in nonequilibrium mixtures thus offer a new route to long-range correlations, supporting the hypothesis that such correlations are not the exception but the rule out of equilibrium.
ER -