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D. Fernandez, A. Rajagopal, and L. Thorlacius, “Non-equilibrium steady states in quantum critical systems with Lifshitz scaling,” arXiv:1909.06377 [hep-th]
Original
1909
Earlier work this paper cites.
V. Bargmann, “On Unitary ray representations of continuous groups,” Annals Math
1954
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, “Fluid mechanics,” Fluid Mechanics. Second Edition. 1987. Pergamon, Oxford
1987
Earlier work this paper cites.
T. Jacobson and D. Mattingly, “Gravity with a Dynamical Preferred Frame,” Phys. Rev
2001
Earlier work this paper cites.
Y. Hatwalne, S. Ramaswamy, M. Rao, and R. A. Simha, “Rheology of active-particle suspensions,” Phys. Rev. Lett
2004
Earlier work this paper cites.
J. Toner, Y. Tu, and S. Ramaswamy, “Hydrodynamics and phases of flocks,” Annals of Physics
2005
Earlier work this paper cites.
D. T. Son, “Vanishing Bulk Viscosities and Conformal Invariance of Unitary Fermi Gas,” Phys. Rev. Lett
2007
Earlier work this paper cites.
A. C. Callan-Jones and F. Jülicher, “Hydrodynamics of active permeating gels,” New Journal of Physics
2011
Earlier work this paper cites.
R. Andringa, E. Bergshoeff, S. Panda, and M. de Roo, “Newtonian Gravity and the Bargmann Algebra,” Class. Quant. Grav
Original
2011
Earlier work this paper cites.
P. Kovtun, “Lectures on Hydrodynamic Fluctuations in Relativistic Theories,” J. Phys
Original
2012
Earlier work this paper cites.
S. Fürthauer, M. Neef, S. W. Grill, K. Kruse, and F. Jülicher, “The taylor–couette motor: spontaneous flows of active polar fluids between two coaxial cylinders,” New Journal of Physics
2012
Earlier work this paper cites.

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2019

Hydrodynamics without boosts

Novak, Igor, Sonner, Julian, Withers, Benjamin

Understand

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.

Built on

D. Fernandez, A. Rajagopal, and L. Thorlacius, “Non-equilibrium steady states in quantum critical systems with Lifshitz scaling,” arXiv:1909.06377 [hep-th]
Original
1909
Earlier work this paper cites.
V. Bargmann, “On Unitary ray representations of continuous groups,” Annals Math
1954
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, “Fluid mechanics,” Fluid Mechanics. Second Edition. 1987. Pergamon, Oxford
1987
Earlier work this paper cites.
T. Jacobson and D. Mattingly, “Gravity with a Dynamical Preferred Frame,” Phys. Rev
2001
Earlier work this paper cites.
Y. Hatwalne, S. Ramaswamy, M. Rao, and R. A. Simha, “Rheology of active-particle suspensions,” Phys. Rev. Lett
2004
Earlier work this paper cites.
J. Toner, Y. Tu, and S. Ramaswamy, “Hydrodynamics and phases of flocks,” Annals of Physics
2005
Earlier work this paper cites.
D. T. Son, “Vanishing Bulk Viscosities and Conformal Invariance of Unitary Fermi Gas,” Phys. Rev. Lett
2007
Earlier work this paper cites.
A. C. Callan-Jones and F. Jülicher, “Hydrodynamics of active permeating gels,” New Journal of Physics
2011
Earlier work this paper cites.
R. Andringa, E. Bergshoeff, S. Panda, and M. de Roo, “Newtonian Gravity and the Bargmann Algebra,” Class. Quant. Grav
Original
2011
Earlier work this paper cites.
P. Kovtun, “Lectures on Hydrodynamic Fluctuations in Relativistic Theories,” J. Phys
Original
2012
Earlier work this paper cites.
S. Fürthauer, M. Neef, S. W. Grill, K. Kruse, and F. Jülicher, “The taylor–couette motor: spontaneous flows of active polar fluids between two coaxial cylinders,” New Journal of Physics
2012
Earlier work this paper cites.