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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 167, Number 2, Pages 273–283
DOI: https://doi.org/10.4213/tmf6639
(Mi tmf6639)
 

Theorem on energy distribution over degrees of freedom for a quasistable symmetric anharmonic oscillator

A. V. Kargovsky, L. S. Bulushova, O. A. Chichigina

Lomonosov Moscow State University, Moscow, Russia
References:
Abstract: 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.
Received: 03.06.2010
Revised: 19.11.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 167, Issue 2, Pages 636–644
DOI: https://doi.org/10.1007/s11232-011-0048-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Kargovsky, L. S. Bulushova, O. A. Chichigina, “Theorem on energy distribution over degrees of freedom for a quasistable symmetric anharmonic oscillator”, TMF, 167:2 (2011), 273–283; Theoret. and Math. Phys., 167:2 (2011), 636–644
Citation in format AMSBIB
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\by A.~V.~Kargovsky, L.~S.~Bulushova, O.~A.~Chichigina
\paper Theorem on energy distribution over degrees of freedom for a~quasistable symmetric anharmonic oscillator
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\pages 273--283
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\crossref{https://doi.org/10.4213/tmf6639}
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\jour Theoret. and Math. Phys.
\yr 2011
\vol 167
\issue 2
\pages 636--644
\crossref{https://doi.org/10.1007/s11232-011-0048-4}
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  • https://www.mathnet.ru/eng/tmf/v167/i2/p273
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