Memory loss process and non-Gibbsian equilibrium solutions of master equations

The phonon dynamics of a harmonic oscillator coupled to a steady reservoir is studied. In the Markovian limit, the equilibrium is reached through a progressive loss of memory process which involves the moments of the initial distribution. The relationship to the non-Markovian equations of motion and...

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Autores principales: Cataldo, Horacio Máximo, Hernández, Ester Susana
Publicado: 1988
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v53_n3-4_p673_Cataldo
http://hdl.handle.net/20.500.12110/paper_00224715_v53_n3-4_p673_Cataldo
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Sumario:The phonon dynamics of a harmonic oscillator coupled to a steady reservoir is studied. In the Markovian limit, the equilibrium is reached through a progressive loss of memory process which involves the moments of the initial distribution. The relationship to the non-Markovian equations of motion and its resolvent poles is settled. As a particular model of the coupling mechanism is adopted, the possibility of non-Gibbsian equilibrium distribution arises, which is analyzed focusing upon the dependence of various parameters of the system on an effective equilibrium temperature. © 1988 Plenum Publishing Corporation.