Thermodynamic Stability of a Multicomponent Non-Ideal Plasma

The thermodynamic stability of a multicomponent plasma is studied on the basis of the Ornstein-Zernike integral equations for a multicomponent fluid. A transition is made to the one-component Ornstein-Zernike equation for the most non-ideal subsystem for a plasma with any number of components under the conditions of applicability of the Debye approximation for direct correlation functions for all plasma components, except for the most non-ideal subsystem. It is shown that all pair correlation functions, charge-charge and number-number structure factors remain positive for all argument values in the entire studied range of the non-ideality parameter of the most non-ideal subsystem. The conditions for the violation of the thermodynamic stability of a three-component dusty plasma are studied for different signs of the charge of dust particles and their different number density.