Two-Fluid Model for Anisotropic Superfluids

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Introduction Action Principle Classic Approach Sound Propagation Anisotropy Sound velocities sound velocities [ (∂p ) u1,2‖,⊥ 2 =1 2 ∂ ˜ρ ¯s [ √ (∂p ) ± √1 4 ∂ ˜ρ + ρ ] s 0‖,⊥ T¯s 0 2 ρ n0‖,⊥ c ν ¯s + ρ s 0‖,⊥ ρ n0‖,⊥ T¯s 2 0 c ν ] 2 − ρ s 0‖,⊥ ρ n0‖,⊥ ( T¯s 2 0 c ν ) ( ) ∂p ∂ ˜ρ T expression remains complicated, because we do not assume, ) that pressure and temperature fluctuations are uncoupled ≠ 0 ( ∂p ∂T ρ Two-Fluid Model for Anisotropic Superfluids Carolin Wille
Introduction Action Principle Classic Approach Sound Propagation Anisotropy Eigenmodes and Associated Motions modes do not decouple ( ∂p ∂¯s ) ˜ρ ◮ ◮ δ ˜ρ δ¯s = u‖,⊥ 2 ∂p −( ∂ ˜ρ)¯s = r r coupling strength of the two modes motion along the direction of wave propagation ◮ ◮ δvn = νδv s ‖ ê q‖,⊥ ν determines in-phase/out-of-phase motion (α−β¯s 0 ˜ρ 0 )ρ n0‖,⊥ ◮ ν = ( ) ) ◮ α = ∂p ∂ ˜ρ ˜ρ 0 α−ρ s0‖,⊥ (α−˜ρ 0¯s 0 β) ¯s r + ( ∂p ∂¯s ˜ρ , β = ( ∂T ∂ ˜ρ ) ¯s r + ( ∂T ∂¯s ) ˜ρ Two-Fluid Model for Anisotropic Superfluids Carolin Wille
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Two-Fluid Model for Anisotropic Superfluids

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