Hydrodynamics without boosts
Hydrodynamics without boosts
We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with symmetry group $\mathbb{R}_t\times$ISO$(d)\times$U$(1)$. Such theories are important in a number of distinct situations, ranging from the hydrodynamics of graphene to flocking behaviour and the coarse-grained motion of self-propelled organisms. Furthermore, given the generality of this construction, we are are able to deduce special cases with higher symmetry by taking the appropriate limits. In this way we write the complete first-order theory of Lifshitz-invariant hydrodynamics. Among other results we present a class of non-dissipative first order theories which preserve parity.
hep-th, cond-mat.soft, cond-mat.str-el, physics.flu-dyn
Novak, Igor
afdb73c5-b8de-4afa-b755-2623d482d2c8
Sonner, Julian
1d2008de-dbc3-4231-95e6-a3d2ec93d3c1
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
23 July 2020
Novak, Igor
afdb73c5-b8de-4afa-b755-2623d482d2c8
Sonner, Julian
1d2008de-dbc3-4231-95e6-a3d2ec93d3c1
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Novak, Igor, Sonner, Julian and Withers, Benjamin
(2020)
Hydrodynamics without boosts.
Journal of High Energy Physics, 2020, [165].
(doi:10.1007/JHEP07(2020)165).
Abstract
We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with symmetry group $\mathbb{R}_t\times$ISO$(d)\times$U$(1)$. Such theories are important in a number of distinct situations, ranging from the hydrodynamics of graphene to flocking behaviour and the coarse-grained motion of self-propelled organisms. Furthermore, given the generality of this construction, we are are able to deduce special cases with higher symmetry by taking the appropriate limits. In this way we write the complete first-order theory of Lifshitz-invariant hydrodynamics. Among other results we present a class of non-dissipative first order theories which preserve parity.
Text
1911.02578v1
- Author's Original
Text
Hydrodynamics_without_boosts_VoR
More information
Accepted/In Press date: 24 June 2020
Published date: 23 July 2020
Additional Information:
25 pages
Keywords:
hep-th, cond-mat.soft, cond-mat.str-el, physics.flu-dyn
Identifiers
Local EPrints ID: 455072
URI: http://eprints.soton.ac.uk/id/eprint/455072
ISSN: 1029-8479
PURE UUID: 5cd6e456-65bb-4222-a7d7-b27fe0399bf0
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Date deposited: 08 Mar 2022 17:38
Last modified: 17 Mar 2024 02:27
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Author:
Igor Novak
Author:
Julian Sonner
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