Physics – Condensed Matter – Superconductivity
Scientific paper
2004-11-25
J. Phys. A: Math. Gen. 38 (2005) 6293-6310
Physics
Condensed Matter
Superconductivity
28 pages, 2 figure, uses revtex4
Scientific paper
10.1088/0305-4470/38/28/003
We revisit an inequality due to Onsager, which states that the (quantum) liquid structure factor has an upper bound of the form (const.) x |k|, for not too large modulus of the wave vector k. This inequality implies the validity of the Landau criterion in the theory of superfluidity with a definite, nonzero critical velocity. We prove an auxiliary proposition for general Bose systems, together with which we arrive at a rigorous proof of the inequality for one of the very few soluble examples of an interacting Bose fluid, Girardeau's model. The latter proof demonstrates the importance of the thermodynamic limit of the structure factor, which must be taken initially at k different from 0. It also substantiates very well the heuristic density functional arguments, which are also shown to hold exactly in the limit of large wave-lengths. We also briefly discuss which features of the proof may be present in higher dimensions, as well as some open problems related to superfluidity of trapped gases.
Silva Milton A. da Jr.
Wreszinski Walter F.
No associations
LandOfFree
Onsager's Inequality, the Landau-Feynman Ansatz and Superfluidity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Onsager's Inequality, the Landau-Feynman Ansatz and Superfluidity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Onsager's Inequality, the Landau-Feynman Ansatz and Superfluidity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-414758