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 e.g. entropy flux f 0 = s(v n − v s ) ⇒ f = sv n Two-Fluid Model for Anisotropic Superfluids Carolin Wille
Introduction Action Principle Classic Approach Sound Propagation Anisotropy Comparison Similarities lead to the same equations based on the existence of conservation laws Differences Action Principle: s s = 0 ⇒ rot v s = 0 Khalatnikov Approach: rot v s = 0 ⇒ s s = 0 s s = 0 ⇔ rot v s = 0 shown for action principle extending and varying the system much easier for action principle, e.g. include superfluid vorticity Two-Fluid Model for Anisotropic Superfluids Carolin Wille
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Two-Fluid Model for Anisotropic Superfluids

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