  For warm and hot dense plasma (WHDP), the ionization potential depression
(IPD) is a key physical parameter in determining its ionization balance,
therefore a reliable and universal IPD model is highly required to understand
its microscopic material properties and resolve those existing discrepancies
between the theoretical and experimental results. However, the weak temperature
dependence of the nowadays IPD models prohibits their application through much
of the WHDP regime, especially for the non-LTE dense plasma produced by
short-pulse laser. In this work, we propose a universal non-LTE IPD model with
the contribution of the inelastic atomic processes, and found that three-body
recombination and collision ionization processes become important in
determining the electron distribution and further affect the IPD in warm and
dense plasma. The proposed IPD model is applied to treat the IPD experiments
available in warm and hot dense plasmas and excellent agreements are obtained
in comparison with those latest experiments of the IPD for Al plasmas with
wide-range conditions of 70-700 eV temperature and 0.2-3 times of solid
density, as well as a typical non-LTE system of hollow Al ions. We demonstrate
that the present IPD model has a significant temperature dependence due to the
consideration of the inelastic atomic processes. With the low computational
cost and wide range applicability of WHDP, the proposed model is expected to
provide a promising tool to study the ionization balance and the atomic
processes as well as the related radiation and particle transports properties
of a wide range of WHDP.
