Two-Fluid Model for Anisotropic Superfluids

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Introduction Action Principle Classic Approach Sound Propagation Anisotropy Goal no dissipation ⇒ energy flux q 0 has certain structure, i.e. no dependence on ’gradient terms’ find an expression for div q 0 read off constraints from the expression div q 0 div q 0 = − (h · ∇) · v s + (v n − v s ) · (∇ · h) + j 0 · [(v n − v s ) · ∇] v n − ρ s (v n − v s ) · ∇(ϕ − ¯µ) − ∇T · [f 0 − s(v n − v s )] + div(f 0 T + j 0¯µ) h ik =Π 0ik + [e 0 − Ts − ¯µρ − (v n − v s ) · j 0 ] δ ik Two-Fluid Model for Anisotropic Superfluids Carolin Wille
Introduction Action Principle Classic Approach Sound Propagation Anisotropy Goal no dissipation ⇒ energy flux q 0 has certain structure, i.e. no dependence on ’gradient terms’ find an expression for div q 0 read off constraints from the expression div q 0 div q 0 = − (h · ∇) · v s + (v n − v s ) · (∇ · h) + j 0 · [(v n − v s ) · ∇] v n − ρ s (v n − v s ) · ∇(ϕ − ¯µ) − ∇T · [f 0 − s(v n − v s )] + div(f 0 T + j 0¯µ) h ik =Π 0ik + [e 0 − Ts − ¯µρ − (v n − v s ) · j 0 ] δ ik Two-Fluid Model for Anisotropic Superfluids Carolin Wille
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Two-Fluid Model for Anisotropic Superfluids

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