Hydrodynamics of dipole-conserving fluids

Abstract

Dipole-conserving fluids serve as examples of kinematically constrained systems that can be understood on the basis of symmetry. They are known to display various exotic features including glassylike dynamics, subdiffusive transport, and immobile excitations dubbed fractons. Unfortunately, such systems have so far escaped a complete macroscopic formulation as viscous fluids. In this work, we construct a consistent hydrodynamic description for fluids invariant under translation, rotation, and dipole shift symmetry. We use symmetry principles to formulate a thermodynamic theory for dipole-conserving systems at equilibrium and apply irreversible thermodynamics in order to elucidate dissipative effects. Remarkably, we find that the inclusion of the energy conservation not only renders the longitudinal modes diffusive rather than subdiffusive but also diffusion is present even at the lowest order in the derivative expansion. This work paves the way towards an effective description of many-body systems with constrained dynamics such as ensembles of topological defects, fracton phases of matter, and certain models of glasses.

8 + 4 pages; 1 figure. v2: published version with minor revisions

References in corpus (8)

• Local stabilizer codes in three dimensions without string logical operators
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Fracton hydrodynamics without time-reversal symmetry
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
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• Emergent Fracton Dynamics in a Non-Planar Dimer Model
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Cited by in corpus (19)

• Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
• Ideal fracton superfluids
• Hydrodynamics in long-range interacting systems with center-of-mass conservation
• Covariant fracton gauge theory with boundary
• Emergent dipole moment conservation and subdiffusion in tilted chains
• Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory in 2+1 dimensions
• Dissipative fracton superfluids
• Covariant Interacting Fractons
• Hall-like behaviour of higher rank Chern-Simons theory of fractons
• Local integrals of motion in dipole-conserving models with Hilbert space fragmentation
• Fractonic Coset Construction for Spontaneously Broken Translations
• Strings as Hyper-Fractons
• Quadrupole gauge theory: anti-Higgs mechanism and elastic dual
• Possible ambient kinematics
• Einstein relation for subdiffusive relaxation in Stark chains
• Relaxation and fluctuations of a mass- and dipole-conserving stochastic lattice gas
• Collective dynamics in holographic fractonic solids
• Quadrupole-conserving dynamics in the non-commutative plane
• A complex scalar field theory for charged fluids, superfluids, and fracton fluids