Abstract

The effects of the dust size distribution in ultracold quantum dusty plasmas are investigated. The amplitude ϕm and width ω of quantum dust acoustic waves are studied with different dust size distributions in the system. The ϕm and ω of the quantum dust acoustic waves are found to increase as the total number density increases. The ϕm and ω are greater for unusual dusty plasmas than for typical dusty plasmas. Moreover, as the Fermi temperature of the dust grains increases, the ϕm of the wave decreases. The ω of quantum dust acoustic waves increases as the speed u0 of the wave increases.

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