Abstract
The possibility of attaining negative temperatures demonstrated by Onsager for ensembles of vortices in a two-dimensional fluid, is investigated for current vortices in a two-dimensional Type-II superconductor. As in the fluid, their phase space is finite, corresponding to classical equations of motion which are of first order in the time. Clustering of vortices of the same sign, which might be indicative of negative temperature has been reported for various materials but explained differently. No observation is known of the characteristic precession of nearby pairs. It is not yet clear how a negative-temperature instability, if one exists, could be exploited as a negative resistance.
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References
L. Onsager, Suppl. Nuovo Cimento 6, 279 (1949).
In a hamiltonian formalism, the x and y coordinates are canonically conjugate variables. See, for example, K. Friedrichs, Special Topics in Fluid Dynamics (Gordon and Breach, 1966 ), p. 124.
D. Montgomery, Physics Letters 39A, 7 (1972).
J. B. Taylor, Physics Letters 40A, 1 (1972).
Norman F. Ramsey, Physical Review 103, 20 (1956).
See, for example, P. G. DeGennes, Superconductivity of Metals and Alloys (Benjamin, 1966).
Reference 6, page 80.
Apparently no observations of fluxoids having more than one quantum of flux φ0 = hc/2e have been reported.
See, for example, Reference 6, page 49.
U. Essmann, Physics Letters 41A, 477 (1972).
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© 1974 Plenum Press, New York
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Machlup, S. (1974). Negative Temperatures in Type-II Superconductors. In: Mintz, S.L., Widmayer, S.M. (eds) Quantum Statistical Mechanics in the Natural Sciences. Studies in the Natural Sciences, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4532-9_22
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DOI: https://doi.org/10.1007/978-1-4613-4532-9_22
Publisher Name: Springer, Boston, MA
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