Recently developed experimental methods for the generation and diagnostics of nonideal plasma and warm dense matter are reviewed. Modern theoretical methods applied to solve the problem of fluid-fluid phase transitions, including the plasma phase transition, are considered. Quantum simulation methods and the results obtained in the chemical model of plasma are analyzed. Particular attention is paid to the phase transition in warm dense hydrogen/deuterium at high pressures. Results for helium, aluminum, cesium, cerium, ionic, and exciton plasmas and some other substances are also considered.
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