Abstract
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.
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Cataldo, H.M., Hernández, E.S. Memory loss process and non-Gibbsian equilibrium solutions of master equations. J Stat Phys 53, 673–688 (1988). https://doi.org/10.1007/BF01014219
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DOI: https://doi.org/10.1007/BF01014219