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

Research paper by H. M. Cataldo, E. S. Hernández

Indexed on: 01 Nov '88Published on: 01 Nov '88Published in: Journal of Statistical Physics


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.