Statistical mechanics of vortices
Jan 30, 199310 pages
Published in:
- Nucl.Phys.B 400 (1993) 624-632
e-Print:
- 2204.01389 [hep-th]
DOI:
- 10.1016/0550-3213(93)90418-O,
- 10.1088/1751-8121/ac7c4a (publication)
Report number:
- DAMTP-92-79
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Abstract: (Elsevier)
The equation of state for vortices in the abelian Higgs model is derived, assuming that the vortices are at critical coupling and that they move on a large sphere. The vortex dynamics is assumed to be well approximated by geodesic motion through the parameter space of static multi-vortex solutions of the Bogomolny equations. The partition function essentially depends only on the volume of this parameter space. The equation of state for the vortices is of the Clausius form P ( A − 4 πN ) = NT , where P is the pressure, A the area of the sphere, N the number of vortices and T the temperature.Note:
- 10 pages, this revised version accepted for publication in J. Phys. A
- field equations: soliton
- Higgs model: abelian
- vortex
- statistical mechanics
- partition function
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