Quadrupole conserving dynamics in the noncommutative plane

Quadrupole conserving dynamics in the noncommutative plane is shown to realize unconventional ``fracton hydrodynamics''. Invariant Hamiltonians correspond to the areas of shapes, meaning that all interactions are at least three body. In fact, hydrodynamics breaks down due to relevant nonlinearities, as predicted analytically and confirmed numerically.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-11-08
DOI
https://doi.org/10.1103/6d5w-ntsc
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
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article

Quadrupole conserving dynamics in the noncommutative plane

Andrew Lucas, Isabella Zane
Physical review. B./Physical review. B
Nonlinear Waves and Solitons
article

Quadrupole conserving dynamics in the noncommutative plane

Andrew Lucas, Isabella Zane
article en

Abstract

Quadrupole conserving dynamics in the noncommutative plane is shown to realize unconventional ``fracton hydrodynamics''. Invariant Hamiltonians correspond to the areas of shapes, meaning that all interactions are at least three body. In fact, hydrodynamics breaks down due to relevant nonlinearities, as predicted analytically and confirmed numerically.

Physical review. B./Physical review. BVol. 112(22)
University of Colorado Boulder (US), University of Colorado System (US)
Openalex Percentile: Top 70%
Nonlinear Waves and Solitons
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