The evaporation and condensation of an isolated cloud embedded in a thermally stable hot gas is studied under the assumption that the ambient hot gas is in thermal equilibrium at constant temperature and that the cloud is large enough that classical conduction is valid. It is found that the cloud will evaporate provided that it is smaller than the Field length, which gives the maximum range of thermal conduction. A large cloud can condense only if the pressure exceeds the saturated vapor pressure p(sat). The pressure required for condensation increases as the cloud radius decreases, until condensation becomes impossible. Since p(sat) is close to the maximum pressure at which the hot gas can exist in equilibrium, condensation is likely to occur under unsteady conditions. The Compton-bremsstrahlung case is treated as an example.
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McKee et al. (1990) studied this question.