Geodesic
Dependence of the Superfluidity Criterion on the Capillary Radius
Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 3, pp. 307-327

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We replace the conditions on the capillary boundary with the Born–Karman periodic conditions, i. e., we consider a two-dimensional torus of radius $L_2$. If the velocity of a superfluid liquid exceeds $8\pi\hbar/(mL_2)$, then it brakes because of the friction against the eddy formed by pairs (similar to the pairs in the Andreev reflection).
Keywords: superfluidity, thermodynamic limit, quasiparticle spectrum, capillary thickness, eddy.
Mots-clés : ultrasecond quantization 
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     title = {Dependence of the {Superfluidity} {Criterion} on the {Capillary} {Radius}},
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V. P. Maslov. Dependence of the Superfluidity Criterion on the Capillary Radius. Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 3, pp. 307-327. http://geodesic.mathdoc.fr/item/TMF_2005_143_3_a0/