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Generic long-range correlations in conserved nonequilibrium mixtures

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Jessica Metzger, Yariv Kafri, Mehran Kardar, Julien Tailleur

Statistical Mechanics · Submitted 12 Jun 2026

abstract compiled · 2026-10-21 · no language-model review

The authors' main claim 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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arXiv ID2606.14651 (version 2)
Pith IDEJFSK3D5, Pith's permanent record of this paper and its review
CitationJessica Metzger, Julien Tailleur, Mehran Kardar, Yariv Kafri. "Generic long-range correlations in conserved nonequilibrium mixtures." arXiv:2606.14651 (2026). https://pith.science/paper/EJFSK3D5
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-10-21: 1 request, 4,292 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.35 · human participants 0.02 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.30 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We study correlation functions in conserved nonequilibrium mixtures, including multi-temperature systems and non-reciprocal field theories. contribution 0.93 0.87 0.03 asserted 0.87
s1 The corresponding linear theory is short-ranged, and nonlinearities are irrelevant in the renormalization-group sense. background 0.74 0.34 0.04 asserted 1.00
s2 Nonetheless, we find that these nonlinearities generate long-ranged three-point correlations in the isotropic disordered phase. result 1.00 0.95 0.51 asserted 1.00
s3 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. method 0.57 0.91 0.07 asserted 1.00
s4 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. interpretation 1.00 0.48 0.90 asserted 0.81

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from simulation or computation 0.72.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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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