Two-Fluid Model for Anisotropic Superfluids

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Introduction Action Principle Classic Approach Sound Propagation Anisotropy Linearization Ansatz: ρ(r, t) = ρ 0 + δρ(r, t) etc. ∂δρ ∂t + div δj = 0 δj = ρ s0 δv s + ρ n0 δv n ∂δs ∂t + s 0 div δv n = 0 ∂δv s ∂t = −∇δ¯µ ∂δj ∂t = −∇δp Two-Fluid Model for Anisotropic Superfluids Carolin Wille
Introduction Action Principle Classic Approach Sound Propagation Anisotropy Derivation of Wave Equations ⇒ ⇒ δp = ∂2 δρ ∂t 2 − ∆δp = 0 ∂δ¯s ∂t = s 0 ρ s0 div(δv n − δv s ) , ρ 2 0 ∂2 δ¯s ∂t − ρ s0 2 ¯s2 0 ∆δT = 0 ρ n0 ( ) ∂p ∂ρ ¯s δρ + ( ∂p ∂¯s ) δ¯s , δT = ρ ¯s = s/ρ ( ) ( ) ∂T ∂T δρ + δ¯s ∂ρ ¯s ∂¯s ρ Two-Fluid Model for Anisotropic Superfluids Carolin Wille
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Two-Fluid Model for Anisotropic Superfluids

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