Statistical Mechanics of Vortex Lines
As first discussed by Onsager and Feynman, If the temperature is raised in a superfluid or a superconductor, the vortex loops undergo a second-order phase transition. This happens when the configurational entropy overcomes the Boltzmann factor which suppresses the thermal or heat generation of vortex lines. The lines form a condensate. Since the center of the lines, the vortex cores, are normal liquid or normal conductors, respectively, the condensation transforms the superfluid or superconductor into the normal state. The ensembles of vortex lines and their phase transitions can be described efficiently by a gauge theory.
Read more about this topic: Quantum Vortex
Famous quotes containing the words mechanics, vortex and/or lines:
“the moderate Aristotelian city
Of darning and the Eight-Fifteen, where Euclids geometry
And Newtons mechanics would account for our experience,
And the kitchen table exists because I scrub it.”
—W.H. (Wystan Hugh)
“The Image is more than an idea. It is a vortex or cluster of fused ideas and is endowed with energy.”
—Ezra Pound (18851972)
“Who will in fairest book of Nature know
How virtue may best lodged in beauty be,
Let him but learn of love to read in thee,
Stella, those fair lines which true goodness show.
There shall he find all vices overthrow,
Not by rude force, but sweetest sovereignty
Of reason,”
—Sir Philip Sidney (15541586)