We study the dust surface potential for the complex dusty plasma with negative ions and with a three-parameter non-Maxwell velocity distribution. The plasma contains electrons, positive ions, negative ions, and negatively charged dust particles. By using the current equilibrium condition, we derive the relationship between the normalized dust surface potential and the dusty plasma parameters such as the normalized dust number density, the temperature ratio of negative ions to electrons, the density ratio of negative ions to positive ions, and the charge number of negative ions. The numerical analyses show that the relationship depends evidently on the three parameters in the non-Maxwell distribution when the dust surface potential is relatively smaller, but with the increase of the potential, such dependence will weaken soon. The dust surface potential is negative and increases monotonously with the increase of the dust density, and for the complex dusty plasma with the three-parameter non-Maxwell distribution, it is generally greater than that in the same plasma with the kappa-distribution and the Maxwellian distribution.

我们研究了带有负离子和三参数非麦克斯韦速度分布的复杂尘土等离子体的尘埃表面电势。等离子体包含电子，正离子，负离子和带负电的灰尘颗粒。通过使用电流平衡条件，我们得出归一化尘埃表面电势与尘土等离子体参数之间的关系，例如归一化尘埃数密度，负离子与电子的温度比，负离子与正离子的密度比以及负离子的电荷数。数值分析表明，当粉尘表面电势相对较小时，该关系显然取决于非麦克斯韦分布中的三个参数，但是随着电势的增加，这种相关性很快就会减弱。