Geodesic
Some thermodynamic features of ideal systems with nonlinear interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 431-441 
V. P. Barashev; V. V. Belov; A. S. Vshivtsev; A. G. Kisun'ko. Some thermodynamic features of ideal systems with nonlinear interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 431-441. http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a8/
@article{TMF_1998_116_3_a8,
     author = {V. P. Barashev and V. V. Belov and A. S. Vshivtsev and A. G. Kisun'ko},
     title = {Some thermodynamic features of ideal systems with nonlinear interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {431--441},
     year = {1998},
     volume = {116},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The thermodynamic properties of two two-dimensional systems are investigated comparatively. One system corresponds to a bound state of a two-dimensional harmonic oscillator, and the other corresponds to a nonlinear anharmonic oscillator. The spectrum for the harmonic oscillator is presented; for the nonlinear oscillator, the WKB spectrum and the wave functions are first calculated. The $\Omega$-potential behavior is essentially different at high temperatures. This difference may possibly be observed by investigating the temperature dependence of the heat capacity in planar anisotropic media.

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