Theorem on energy distribution over degrees of freedom for a quasistable symmetric anharmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 273-283 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose a method for describing quasiequilibrium processes in a quasistable anharmonic oscillator affected by heat noise. We introduce effective thermodynamic parameters analogous to those of an equilibrium system but differing from them in numerical value. We define the parameter characterizing the nonequilibrium of the system, prove the mathematical consistency of the proposed method, and obtain the quasiequilibrium analogue of the theorem on energy distribution over degrees of freedom.
Keywords: quasiequilibrium Boltzmann distribution, effective temperature.
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A. V. Kargovsky; L. S. Bulushova; O. A. Chichigina. Theorem on energy distribution over degrees of freedom for a quasistable symmetric anharmonic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 273-283. http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a8/

[1] A. Einstein, Investigations of the Theory of the Brownian Movement, Dover, New York, 1956 | MR | Zbl

[2] R. L. Stratonovich, Sluchainye protsessy v dinamicheskikh sistemakh, RKhD, M., Izhevsk, 2009

[3] O. A. Chichigina, ZhETF, 116:1 (1999), 57–66 | DOI

[4] P. S. Landa, Yu. I. Neimark, P. V. E. McClintock, J. Stat. Phys., 125:3 (2006), 593–620 | DOI | MR | Zbl

[5] H. A. Kramers, Physica, 7:4 (1940), 284–304 | DOI | MR | Zbl

[6] V. I. Mel'nikov, Phys. Rep., 209:1–2 (1991), 1–71 | DOI | MR

[7] V. V. Kozlov, D. V. Treschev, TMF, 134:3 (2003), 388–400 | DOI | MR | Zbl

[8] O. A. Chichigina, “Kvaziravnovesnoe reshenie zadachi Kramersa”, Pamyati A. N. Malakhova: sbornik nauchnykh trudov, eds. A. I. Saichev, Talam, N. Novgorod, 2000, 98–108

[9] O. A. Chichigina, A. V. Netrebko, Izv. vuzov. Prikl. nelin. dinam., 9:3 (2001), 85–94

[10] L. S. Bulushova, O. A. Chichigina, Vestn. Mosk. un-ta. Ser. fiz., astr., 2010, no. 2, 31–36 | DOI

[11] Ya. G. Sinai, TMF, 121:1 (1999), 110–116 | DOI | MR | Zbl

[12] V. V. Kozlov, Nelin. dinam., 3:2 (2007), 123–140 | DOI | MR

[13] R. L. Stratonovich, M. S. Polyakova, Elementy molekulyarnoi fiziki, termodinamiki i statisticheskoi fiziki, MGU, M., 1981

[14] R. L. Stratonovich, Teoriya informatsii, Sovetskoe radio, M., 1975