The widerange equation of state for gasios and liquid plasma

New correction for charged particles interaction in gasios plasma was proposed and validated. Using this correction in Saha equations allowed to formally apply them to zero temperature. This gives reasonable values for ionizatoin degree and thermodynamics. This essentially expands Saha equations to extra-high densities and moderate temperatures, where plasma becomes liquid. Addional classic Debay model was improved and the Simple harmonic oscillators model was disproven.
Liquid plasme is well described with the Thomas–Fermi model with quantum and excange corrections. A superfast algorithm was proposed to solve equations of this model. By means of special interpolation Thomas–Fermi model is joined with the Saha model. This gives wide-range queation of state for gasion and liquid plasma.
Accrording to this model hugoniots were calculated with radiation terms. Shell effects were analyzed.