Breakdown and Restoration of Hydrodynamics in Dipole-conserving Active Fluids

Fuente: arXiv
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Auteurs principaux: Chaudhuri, Anish, Dadhichi, Lokrshi Prawar, Haldar, Arijit
Format: Preprint
Publié: 2026
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author Chaudhuri, Anish
Dadhichi, Lokrshi Prawar
Haldar, Arijit
author_facet Chaudhuri, Anish
Dadhichi, Lokrshi Prawar
Haldar, Arijit
contents We present a general hydrodynamic theory for active fluids, capable of describing living matter, that conserve center of mass or dipole moment. Imposition of dipole or center-of-mass conservation has been reported to yield peculiar behavior: breaking Galilean invariance in classical systems and potentially enabling exotic immobile excitations in quantum settings. In passive fluids, dipole conservation has been shown to cause a breakdown of linear hydrodynamics in all experimentally relevant dimensions. We show that introducing activity changes this picture: it can either restore or break linear hydrodynamics depending on spatial dimensions. Using our formulation, we predict universal dynamical scaling exponents for single-component active fluids in $d=1,2,3$ dimensions and find agreement with microscopic lattice-field simulations. Strikingly, for $d\geq 2$, activity revives linear hydrodynamics, while for $d<2$ it leads to a breakdown; both cases flow to previously unexplored universality classes. Our results suggest that dipole-conserving active fluids are far more experimentally accessible than their passive counterparts.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20259
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Breakdown and Restoration of Hydrodynamics in Dipole-conserving Active Fluids
Chaudhuri, Anish
Dadhichi, Lokrshi Prawar
Haldar, Arijit
Soft Condensed Matter
Statistical Mechanics
We present a general hydrodynamic theory for active fluids, capable of describing living matter, that conserve center of mass or dipole moment. Imposition of dipole or center-of-mass conservation has been reported to yield peculiar behavior: breaking Galilean invariance in classical systems and potentially enabling exotic immobile excitations in quantum settings. In passive fluids, dipole conservation has been shown to cause a breakdown of linear hydrodynamics in all experimentally relevant dimensions. We show that introducing activity changes this picture: it can either restore or break linear hydrodynamics depending on spatial dimensions. Using our formulation, we predict universal dynamical scaling exponents for single-component active fluids in $d=1,2,3$ dimensions and find agreement with microscopic lattice-field simulations. Strikingly, for $d\geq 2$, activity revives linear hydrodynamics, while for $d<2$ it leads to a breakdown; both cases flow to previously unexplored universality classes. Our results suggest that dipole-conserving active fluids are far more experimentally accessible than their passive counterparts.
title Breakdown and Restoration of Hydrodynamics in Dipole-conserving Active Fluids
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2602.20259