Two-Fluid Model for Anisotropic Superfluids

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Introduction Action Principle Classic Approach Sound Propagation Anisotropy Asymmetry of momentum tensor Relation to the conservation of angular momentum usual hydrodynamics ◮ ◮ ◮ symmetric momentum tensor consequence of conservation of angular momentum consequence of isotropy of space (Noether) anisotropic fluid ◮ ◮ ◮ broken symmetry angular momentum needs not be conserved no need for symmetric momentum tensor Two-Fluid Model for Anisotropic Superfluids Carolin Wille
Introduction Action Principle Classic Approach Sound Propagation Anisotropy First and Second Sound in an anisotropic superfluid coupled wave equations [ (∂p ∂ 2 ) ( ) ] δ ˜ρ ∂p ∂t 2 − ∆δ ˜ρ + ∆δ¯s = 0 ∂ ˜ρ ¯s ∂¯s ˜ρ [ (∂T ∂ 2 ) ( ) ] δ¯s ∂T ∂t 2 − ¯s2 0ρ −1 n0 ik ρ s0kj ∂ i ∂ j δ ˜ρ + ∂ i ∂ j δ¯s = 0 ∂ ˜ρ ¯s ∂¯s ˜ρ ansatz δ¯s, δ ˜ρ ∝ e i(q·r−ωt) , q ⊥ ⊥ ê dipole , q ‖ ‖ ê dipole ⎛ ⎞ ρ n0⊥ 0 0 ⎜ ⎟ diagonal form ρ n = ⎝ 0 ρ n0⊥ 0 ⎠ 0 0 ρ n0‖ Two-Fluid Model for Anisotropic Superfluids Carolin Wille
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Two-Fluid Model for Anisotropic Superfluids

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