Abstract

Abstract The influence of electron–positron pair annihilations on the resonant instability of surface dust-acoustic wave is investigated in semi-bounded electron–positron–ion dusty plasmas. The dispersion relation and the temporal growth rate of the surface dust-acoustic wave including the pair annihilation effect are obtained by the specular reflection boundary condition. It is found that the electron–positron annihilation effect suppresses the temporal growth rate of the surface dust-acoustic instability and, however, increases the domain of the resonant instability. It is also shown that the pair annihilation effect on the growth rate decreases with increasing wave number and dust plasma frequency. The variation of the domain and magnitude of temporal growth rate is also discussed.

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