Non-equilibrium steady states in quantum critical systems with Lifshitz scaling

Fernández, Daniel; Rajagopal, Aruna; Thorlacius, Lárus

doi:10.1007/jhep12(2019)115

Cited by 6 publications

(6 citation statements)

References 31 publications

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“…In particular, it was shown that the sound attenuation constant depends on both shear viscosity and thermal conductivity. The framework was also recently used in [36] to study out-of-equilibrium energy transport in a quantum critical fluid with Lifshitz scaling symmetry following a local quench between two semi-infinite fluid reservoirs. It is also interesting to note that Lifshitz hydrodynamics is relevant in connection with non-AdS holographic realizations of systems with Lifshitz thermodynamics [23,[37][38][39][40], see also [41][42][43][44][45].…”

Section: Relevance Of Non-boost Invariant Hydrodynamicsmentioning

confidence: 99%

Non-boost invariant fluid dynamics

et al. 2020

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We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current formalism. The curved background geometry in the absence of boost symmetry is called absolute or Aristotelian spacetime. We present a closed-form expression for the energy-momentum tensor in Landau frame which splits into three parts: a dissipative (10), a hydrostatic non-dissipative (2) and a non-hydrostatic non-dissipative part (4), where in parenthesis we have indicated the number of allowed transport coefficients. The non-hydrostatic non-dissipative transport coefficients can be thought of as the generalization of coefficients that would vanish if we were to restrict to linearized perturbations and impose the Onsager relations. For the two hydrostatic and the four non-hydrostatic non-dissipative transport coefficients we present a Lagrangian description. Finally when we impose scale invariance, thus restricting to Lifshitz fluids, we find 7 dissipative, 1 hydrostatic and 2 non-hydrostatic non-dissipative transport coefficients.

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Section: Relevance Of Non-boost Invariant Hydrodynamicsmentioning

confidence: 99%

Non-boost invariant fluid dynamics

et al. 2020

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“…In the case of scale transformations this point was made clear in [25], where it was shown that conformal invariance leads to vanishing of bulk viscosity. We direct the interested reader to other results on Lifshitz invariant hydrodynamics [26][27][28][29][30][31][32][33][34][35].…”

Section: 3 Lifshitz Scale Invariancementioning

confidence: 99%

Hydrodynamics without boosts

Novak

Sonner

Withers

2020

J. High Energ. Phys.

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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 R t ×ISO(d)×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 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.

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“…We furthermore remark that since all transport coefficients that appear in the η-tensor (5.6) are functions of T and v 2 and have scaling dimension d, they must be of the form 36) for some unknown function f , where α has no scaling dimension.…”

Section: Scale Invariance: Lifshitz Fluid Dynamicsmentioning

confidence: 99%

Report on scipost_202005_00012v4

2020

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We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current formalism. The curved background geometry in the absence of boost symmetry is called absolute or Aristotelian spacetime. We present a closed-form expression for the energy-momentum tensor in Landau frame which splits into three parts: a dissipative (10), a hydrostatic non-dissipative (2) and a non-hydrostatic nondissipative part (4), where in parenthesis we have indicated the number of allowed transport coefficients. The non-hydrostatic non-dissipative transport coefficients can be thought of as the generalization of coefficients that would vanish if we were to restrict to linearized perturbations and impose the Onsager relations. For the two hydrostatic and the four non-hydrostatic non-dissipative transport coefficients we present a Lagrangian description. Finally when we impose scale invariance, thus restricting to Lifshitz fluids, we find 7 dissipative, 1 hydrostatic and 2 non-hydrostatic non-dissipative transport coefficients.

show abstract

Non-equilibrium steady states in quantum critical systems with Lifshitz scaling

Cited by 6 publications

References 31 publications

Non-boost invariant fluid dynamics

Non-boost invariant fluid dynamics

Hydrodynamics without boosts

Report on scipost_202005_00012v4

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