Physics – Condensed Matter
Scientific paper
2002-08-04
J. Low Temp. Phys 129, 323 (2002)
Physics
Condensed Matter
24 pages, 14 figures, write-up of lectures presented at the Kevo Winter School, Kevo, Finland, 20-26 April 2002
Scientific paper
Superfluid phase transitions are discussed from a geometrical perspective as envisaged by Onsager. The approach focuses on vortex loops which close to the critical temperature form a fluctuating vortex tangle. As the transition is approached, vortex lines proliferate and thereby disorder the superfluid state, so that the system reverts to the normal state. It is shown in detail that loop proliferation can be described in exactly the same way as cluster percolation. Picturing vortex loops as worldlines of bosons, with one of the spatial coordinates interpreted as the time coordinate, a quantitative description of vortex loops can be given. Applying a rotation (to superfluids) or a magnetic field (to superconductors), which suppresses the formation of vortex loops and instead can lead to open vortex lines along the field direction, is shown to be equivalent to taking the nonrelativistic limit. The nonrelativistic theory is the one often used to study vortex lattice melting and to describe the resulting entangled vortex liquid.
No associations
LandOfFree
Entangled Vortices: Onsager's geometrical picture of superfluid phase transitions 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 Entangled Vortices: Onsager's geometrical picture of superfluid phase transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entangled Vortices: Onsager's geometrical picture of superfluid phase transitions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-701009