Black hole evaporation by thermal bath removal

We study the evaporation process of 2D black holes in thermal equilibrium when the incoming radiation is turned off. Our analysis is based on two different classes of 2D dilaton gravity models which are exactly solvable in the semiclassical approximation including back-reaction. We consider a one parameter family of models interpolating between the Russo-Susskind-Thorlacius and Bose-Parker-Peleg models. We find that the end-state geometry is the same as the one coming from an evaporating black hole formed by gravitational collapse. We also study the quantum evolution of black holes arising in a model with classical action S = 1/2 pi integral d(2)x root-g (R phi + 4 lambda 2e(beta phi)). The black hole temperature is proportional to the mass and the exact semiclassical solution indicates that these black holes never disappear completely.