Two-Fluid Model for Anisotropic Superfluids
Two-Fluid Model for Anisotropic Superfluids
Two-Fluid Model for Anisotropic Superfluids
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Introduction Action Principle Classic Approach Sound Propagation Anisotropy<br />
First and Second Sound<br />
approximation <strong>for</strong> a liquid ( )<br />
∂p<br />
≃ 0<br />
∂T ρ<br />
first sound<br />
)<br />
(<br />
◮ u<br />
2<br />
1 = ∂p<br />
∂ρ<br />
¯s<br />
◮ pressure or density wave ⇔ usual sound wave<br />
◮<br />
in-phase motion δvs = δv n<br />
second sound<br />
◮ u<br />
2<br />
2 = ¯s 0<br />
2 ρ s0<br />
( ∂T<br />
)<br />
ρ n0 ∂¯s ρ<br />
◮ temperature or entropy wave ⇔ unique <strong>for</strong> superfluids<br />
◮<br />
out-of-phase motion ρs0 δv s = −ρ n0 δv n<br />
<strong>Two</strong>-<strong>Fluid</strong> <strong>Model</strong> <strong>for</strong> <strong>Anisotropic</strong> <strong>Superfluids</strong><br />
Carolin Wille