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Two-Fluid Model for Anisotropic Superfluids

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Introduction Action Principle Classic Approach Sound Propagation Anisotropy<br />

Concept of Classical Approach<br />

state <strong>for</strong>mal conservation laws, e.g.<br />

∂v s<br />

∂t + (v s · ∇)v s = −∇ϕ<br />

∂s<br />

∂t + div f = 0<br />

Galilean trans<strong>for</strong>mation to reference system v s,0 = 0, e.g.<br />

Π ik = Π 0ik + ρv si v sk + v si j 0k + j 0i v sk<br />

differential equation of state in superfluid rest-frame<br />

de 0 = T ds + ¯µdρ + v n0 dj 0<br />

<strong>Two</strong>-<strong>Fluid</strong> <strong>Model</strong> <strong>for</strong> <strong>Anisotropic</strong> <strong>Superfluids</strong><br />

Carolin Wille

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