Hydrodynamics of ideal fracton fluids

Autor: Kevin T. Grosvenor, Carlos Hoyos, Francisco Peña-Benitez, Piotr Surówka
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Physical Review Research, Vol 3, Iss 4, p 043186 (2021)
Druh dokumentu: article
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.3.043186
Popis: 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 corresponds 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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