Correlated disorder versus correlated noise: Ordering in active systems
Abstract
Can quenched disorder generate ordering in driven systems? Using a recently proposed hydrodynamic model, we show that sufficiently long-ranged quenched disorder can induce long-range order in two-dimensional (2D) nonreciprocal XY systems, even when the clean system exhibits only short-range order at finite noise. Active surfaces tangentially advected by quenched velocities, governed by the same hydrodynamic equation, become statistically flat with super- or subdiffusive relaxation. In three dimensions (3D), quenched disorder combined with nonreciprocity produces a novel transition between strong-coupling and asymptotically noninteracting regimes, supporting either long- or short-range order. In both 2D and 3D, the exponents are nonuniversal, which vary continuously with the degree of transversality of the quenched disorder. The degree of transversality of the quenched disorder can be tuned to induce transitions in the model for fixed disorder and noise variances.
Related
- Varying A-site radius and size disorder to tune magnetic ordering in compositionally complex perovskite oxides
- Ordering and Defect Dynamics in Passive and Active Nematopolars
- Enhancement of local magnetic ordering temperature due to non-magnetic disorder in anti-Heusler alloy Al2MnCu
- Ni ordering in the van der Waals gap of Ni-intercalated 2H-NbS2: from disorder through 2×2 and √3×√3 order to stripe order
- High-Field Heat Capacity of Atacamite Cu2Cl(OH)3 for H ∥ b axis: From Antiferromagnetic Order to Correlated Disorder
BibTeX
@misc{mukherjee2026correlated,
title = {{Correlated disorder versus correlated noise: Ordering in active systems}},
author = {Sudip Mukherjee and Abhik Basu},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28012},
eprint = {2608.28012},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28012},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Correlated disorder versus correlated noise: Ordering in active systems
AU - Sudip Mukherjee
AU - Abhik Basu
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28012
UR - https://arxiv.org/abs/2608.28012
AB - Can quenched disorder generate ordering in driven systems? Using a recently proposed hydrodynamic model, we show that sufficiently long-ranged quenched disorder can induce long-range order in two-dimensional (2D) nonreciprocal XY systems, even when the clean system exhibits only short-range order at finite noise. Active surfaces tangentially advected by quenched velocities, governed by the same hydrodynamic equation, become statistically flat with super- or subdiffusive relaxation. In three dimensions (3D), quenched disorder combined with nonreciprocity produces a novel transition between strong-coupling and asymptotically noninteracting regimes, supporting either long- or short-range order. In both 2D and 3D, the exponents are nonuniversal, which vary continuously with the degree of transversality of the quenched disorder. The degree of transversality of the quenched disorder can be tuned to induce transitions in the model for fixed disorder and noise variances.
ER -