Fracton hydrodynamics without time-reversal symmetry

Abstract

We present an effective field theory for the nonlinear fluctuating hydrodynamics of a single conserved charge with or without time-reversal symmetry, based on the Martin-Siggia-Rose formalism. Applying this formalism to fluids with only charge and multipole conservation, and with broken time-reversal symmetry, we predict infinitely many new dynamical universality classes, including some with arbitrarily large upper critical dimensions. Using large scale simulations of classical Markov chains, we find numerical evidence for a breakdown of hydrodynamics in quadrupole-conserving models with broken time-reversal symmetry in one spatial dimension.

5+3 pages; 1+1 figures

References in corpus (5)

• Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
• Infinite families of fracton fluids with momentum conservation
• Universal subdiffusion in strongly tilted many-body systems
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Emergent Fracton Dynamics in a Non-Planar Dimer Model

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