• Corpus ID: 251881480

Hydrodynamics with helical symmetry

@inproceedings{Farrell2022HydrodynamicsWH,
  title={Hydrodynamics with helical symmetry},
  author={Jack H. Farrell and Xiaoyang Huang and Andrew Lucas},
  year={2022}
}
We present the hydrodynamics of fluids in three spatial dimensions with helical symmetry, wherein only a linear combination of a rotation and translation is conserved in one of the three directions. The hydrodynamic degrees of freedom consist of scalar densities (e.g. energy or charge) along with two velocity fields transverse to the helical axis when the corresponding momenta are conserved. Nondissipative hydrodynamic coefficients reminiscent of chiral vortical coefficients arise. We write down… 

Figures from this paper

References

SHOWING 1-10 OF 57 REFERENCES

Hydrodynamic effective field theories with discrete rotational symmetry

We develop a hydrodynamic effective field theory on the Schwinger-Keldysh contour for fluids with charge, energy, and momentum conservation, but only discrete rotational symmetry. The consequences of

Hydrodynamics with triangular point group

When continuous rotational invariance of a two-dimensional fluid is broken to the discrete, dihedral subgroup D 6 —the point group of an equilateral triangle—the resulting anisotropic hydrodynamics

Fracton magnetohydrodynamics

We extend recent work on hydrodynamics with global multipolar symmetries—known as “fracton hydrodynamics”—to systems in which the multipolar symmetries are gauged . We refer to the latter as “fracton

Fracton Hydrodynamics without Time-Reversal Symmetry

We present an effective field theory for the nonlinear fluctuating hydrodynamics of a single conserved charge with or without time-reversal symmetry, based on the Martin-Siggia-Rose formalism.

Resolving Hall and dissipative viscosity ambiguities via boundary effects

We examine in detail the ambiguity of viscosity coefficients in two-dimensional anisotropic fluids emphasized in [Rao and Bradlyn, Phys. Rev. X 10, 021005 (2020)], where it was shown that different

Infinite families of fracton fluids with momentum conservation

We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. We explore the effects

Layered Chiral Active Matter: Beyond Odd Elasticity.

It is demonstrated that chirality qualitatively modifies the dynamics of layered liquid crystals in active systems in both two and three dimensions due to an active "odder" elasticity.

Breakdown of hydrodynamics below four dimensions in a fracton fluid

We present the nonlinear fluctuating hydrodynamics which governs the late time dynamics of a chaotic many-body system with simultaneous charge/mass, dipole/center of mass, and momentum conservation.

Viscometry of Electron Fluids from Symmetry.

A viscometry technique that can, in principle, measure the multiple dissipative viscosities allowed in isotropic and anisotropic fluids alike and is also exceptionally robust to both boundary complications and ballistic effects is presented.

Electron-phonon hydrodynamics

We develop the theory of hydrodynamics of an isotropic Fermi liquid of electrons coupled to isotropic acoustic phonons, assuming that umklapp processes may be neglected. At low temperatures, the
...