TITLE:
Heating, Cooling, and Equilibration of an Interacting Many-Fermion System
AUTHORS:
Angel Ricardo Plastino, Gustavo Luis Ferri, Angelo Plastino
KEYWORDS:
Many-Fermion System, Master Equation, Temperature Disturbances, Equilibration Process
JOURNAL NAME:
Journal of Modern Physics,
Vol.11 No.9,
September
14,
2020
ABSTRACT: We discuss the process of equilibrium’s attainment in an interacting many-fermions system linked to a heat reservoir, whose temperature T is subject to a short-time disturbance of total duration 2τ.In this time-interval, its temperature increases up to a maximum value , cooling off afterward (also gradually) to its original value TM. The process is described by a typical master equation that leads eventually to equilibration. We discuss how the equilibration process depends upon 1) the system’s fermion-number, 2) the fermion-fermion interaction’s strength V, 3) the disturbance duration 2τ, and finally 4) the maximum number of equations N of the master equation.