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

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

DOI: 10.4213/tmf6639

 English version: Theoretical and Mathematical Physics, 2011, 167:2, 636–644

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