COMMENT ON ENTROPY IN 2-DIMENSIONAL DILATON GRAVITY

The thermodynamic second law in the evaporating black hole space-time is examined in the context of the two-dimensional dilaton black hole. The dynamical evolution of entropy is investigated by using the analyt ical perturbation method and the numerical method. It is shown that th e thermodynamic second law holds in the vicinity of infalling shell an d in the region far from the infalling shell in the case of the semi-c lassical CGHS model. The analysis of general models is also presented and its implication is discussed.