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We discuss the color-superconductivity and its effect on the cooling behaviorof strange quark stars. The neutrino emissivity and specific heat of quarkmatter are calculated within the BCS theory. In the superconducting phase, theemissivity decreases and causes suppression of the cooling rate. It is shownthat the phase transition leads to a sudden discontinuous suppression of thecooling rate in cooperation with the specific heat.Comment: 7 pages, 3 figure

Phase Transition of Color Superconductivity and Cooling Behavior of Quark Stars