Geodesic
Thermodynamics of a vortex system in thin-layer semiconductors
Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 326-338

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We develop a method for estimating a classical partition function for a system of $N$ particles that reduces it to the partition function of a scalar field model of the sine-Gordon type. We find the free energy of a system of magnetic vortices in a thin-layer semiconductor and investigate its equilibrium properties in the leading order of the perturbation theory, which corresponds to a circle approximation for a particle system. 
@article{TMF_2000_125_2_a9,
     author = {A. N. Artemov},
     title = {Thermodynamics of a vortex system in thin-layer semiconductors},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {326--338},
     publisher = {mathdoc},
     volume = {125},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a9/}
}
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A. N. Artemov. Thermodynamics of a vortex system in thin-layer semiconductors. Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 326-338. http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a9/