Critical temperature of the superfluid transition in bose liquids

Abstract

A phenomenological criterion for the superfluid transition is proposed, which is similar to the Lindemann criterion for the crystal melting. Then we derive a new formula for the critical temperature, relating $T_{\lambda }$ to the mean kinetic energy per particle above the transition. The suppression of the critical temperature in a sufficiently dense liquid is described as a result of the quantum decoherence phenomenon. The theory can account for the observed dependence of $T_{\lambda }$ on density in liquid helium and results in an estimate $T_{\lambda }\sim 1.1$ K for molecular hydrogen.

4 pages, 1 fig

References in corpus (2)

• Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases
• Interaction and Quantum Decoherence

Cited by in corpus (13)

• Simulation and understanding of quantum crystals
• Superfluidity of metastable bulk glass para-hydrogen at low temperature
• Search for superfluidity in supercooled liquid parahydrogen
• Anomaly in the stability limit of liquid helium 3
• Superfluid behavior of quasi-1D p-H${}_2$ inside carbon nanotube
• Analytical theory of enhanced Bose-Einstein condensation in thin films
• Electric field induced strong localization of electrons on solid hydrogen surface: possible applications to quantum computing
• Luttinger parameter of quasi-one-dimensional para-H2
• On the possibility to supercool molecular hydrogen down to superfluid transition
• Looking back at superfluid helium
• A dense Bose fluid at zero temperature: condensation and clusters in liquid He-4
• Superfluid transition temperature from the Lindemann-like criterion
• Suppression of superfluidity by dissipation -- An application to failed superconductor