Nanjing Univ, Dept Astron, Nanjing 210093, Peoples R China
; Chinese Acad Sci, IHEP, Beijing 100039, Peoples R China
; Nanjing Univ, Astron & Astrophys Ctr E China, Nanjing 210093, Peoples R China
We investigate the influence of the following parameters on the crust properties of strange stars: the strange quark mass (m(s)), the strong coupling constant (alpha(c)) and the vacuum energy density (B). It is found that the mass density at the crust base of strange stars cannot reach the neutron drip density. For a conventional parameter set of m(s) = 200 MeV, B-1/4 = 145 MeV and alpha(c) = 0.3, the maximum density at the crust base of a typical strange star is only 5.5 x 10(10) g cm(-3), and correspondingly the maximum crust mass is 1.4 x 10(-6) M-.. Subsequently, we present the thermal structure and the cooling behavior of strange stars with crusts of different thickness, and under different diquark pairing gaps. Our work might provide important clues for distinguishing strange stars from neutron stars.