Subsystem symmetries produce nonlinear hydrodynamics preserving marginal distributions, realizing partial multipole conservation with monotonic total correlation decay.
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A dipole-conserving spin chain with Ising interactions stabilizes antiferromagnetic dipole order at the level of spin pairs and undergoes transitions to conventional antiferromagnetic or ferromagnetic order depending on interaction sign and strength.
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Diffusion with conserved marginal distributions and information theory in fracton hydrodynamics
Subsystem symmetries produce nonlinear hydrodynamics preserving marginal distributions, realizing partial multipole conservation with monotonic total correlation decay.
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Fractonic Constraints and Magnetic Order in a Dipole-Conserving Spin Chain
A dipole-conserving spin chain with Ising interactions stabilizes antiferromagnetic dipole order at the level of spin pairs and undergoes transitions to conventional antiferromagnetic or ferromagnetic order depending on interaction sign and strength.