As the spacecraft encounters to comet Halley have confirmed, comets seem to be bodies of rather low bulk density; i.e., they must contain a rather large fraction of hollow space both on a microscopic scale and on a macroscopic scale. Cracks of different sizes are most probably very common topological features on a cometary surface. Furthermore, if the cometary ice contains a lot of pore space, the thermal behavior and, consequently, the net sublimation rate might be affected. In the present paper we develop a model which describes the mass and energy transport by the gas in a rectangular crack of arbitrary cross section and depth. The model is valid as long as the conditions of free molecular gas flow inside the crack are fulfilled. Hereby it is assumed that the gas sublimates from the walls according to the local ice temperature and that the molecules hitting the ice walls recondense there. The model allows us to calculate gas flux and recondensation rates inside the gap and at its exit provided the temperature profile along the walls is known. It is found that the sublimation rate from an icy surface with many small pores is almost the same as in the case of a flat surface, while the existence of a few larger holes (leading to the same total pore cross section) may drop the sublimation rate of the surface to 80%. If an inverse temperature profile (inward increasing) exists in the ice, gaps can be the major source of emission. Energetically the recondensation of particles in the deeper parts of the gaps does not significantly contribute to the heating of the ice. On the other hand, cooling by net sublimation from the ice walls is important.
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