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arXiv · 2105.01084

Hydrodynamics of ideal fracton fluids

Kevin T. Grosvenor·Carlos Hoyos·Francisco Peña-Benítez·Piotr Surówka
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Abstract

Low-energy dynamics of many-body fracton excitations necessary to describe topological defects should be governed by a novel type of hydrodynamic theory. We use a Poisson bracket approach to systematically derive hydrodynamic equations from conservation laws of scalar theories with fracton excitations. We study three classes of theories. In the first class we introduce a general action for a scalar with a shift symmetry linear in the spatial coordinates, whereas the second one correspond with a complex scalar, while the third class serves as a toy model for disclinations and dislocations propagating along the Burgers vector. We apply our construction to study hydrodynamic fluctuations around equilibrium states and derive the dispersion relations of hydrodynamic modes.

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Kevin T. Grosvenor, Carlos Hoyos, Francisco Peña-Benítez, Piotr Surówka. 2021-05-03. Hydrodynamics of ideal fracton fluids. https://doi.org/10.1103/physrevresearch.3.043186

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