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Abstract:

We propose a generalization, valid at finite temperatures, of the treatment of quantal damped motion at zero temperature. First we infer that the existence of a quadratic constant of the motion for a quantal, time-dependent, damped harmonic oscillator allows us to develop, in the moving framework, a thermodynamic theory for the "representative" system that possesses constant energy eigenvalues. In this way, the semiclassical distribution functions associated with the pure nonstationary states (gaussons) of the original oscillator can be calculated. Secondly, we show that a gaussian shape-preserving distribution in phase-space, that corresponds to a statistical mixture of gaussons, gives a possible description of the irreversible approach to equilibrium of the oscillator coupled to the heat reservoir. This distribution is shown to satisfy a time-dependent Fokker-Planck equation, provided that the thermal fluctuations follow the same equations of motion as those of a gaussian wave packed that moves under the influence of Kostin's friction at zero temperature. © 1981.

Registro:

Documento: Artículo
Título:On the phase-space dynamics of a time-dependent harmonic oscillator at finite temperature
Autor:Remaud, B.; Hernández, E.S.
Filiación:Institut de Physique, Université de Nantes, 2 Chemin de la Houssinière, 44072 Nantes Cedex, France
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Año:1981
Volumen:107
Número:3
Página de inicio:553
Página de fin:566
DOI: http://dx.doi.org/10.1016/0378-4371(81)90187-4
Título revista:Physica A: Statistical Mechanics and its Applications
Título revista abreviado:Phys A Stat Mech Appl
ISSN:03784371
CODEN:PHYAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v107_n3_p553_Remaud

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Citas:

---------- APA ----------
Remaud, B. & Hernández, E.S. (1981) . On the phase-space dynamics of a time-dependent harmonic oscillator at finite temperature. Physica A: Statistical Mechanics and its Applications, 107(3), 553-566.
http://dx.doi.org/10.1016/0378-4371(81)90187-4
---------- CHICAGO ----------
Remaud, B., Hernández, E.S. "On the phase-space dynamics of a time-dependent harmonic oscillator at finite temperature" . Physica A: Statistical Mechanics and its Applications 107, no. 3 (1981) : 553-566.
http://dx.doi.org/10.1016/0378-4371(81)90187-4
---------- MLA ----------
Remaud, B., Hernández, E.S. "On the phase-space dynamics of a time-dependent harmonic oscillator at finite temperature" . Physica A: Statistical Mechanics and its Applications, vol. 107, no. 3, 1981, pp. 553-566.
http://dx.doi.org/10.1016/0378-4371(81)90187-4
---------- VANCOUVER ----------
Remaud, B., Hernández, E.S. On the phase-space dynamics of a time-dependent harmonic oscillator at finite temperature. Phys A Stat Mech Appl. 1981;107(3):553-566.
http://dx.doi.org/10.1016/0378-4371(81)90187-4