The phase translation of the fluid by shockwave in the hard-sphere model

The dynamic phase transition of fluid has been specifically induced by the shockwave within the context of the hard-sphere model. Fundamental thermal and dynamic attributes of the fluid have been primarily examined, and the conditions following the Rankine-Hugoniot (RH) theory have been applied using the Euler equations. Due to the magnitude of the shockwave's impact on the undisturbed equilibrium of the fluid, three archetypal states of excitation are manifested, encompassing liquid-liquid, liquid-solid, and liquid-coexistence states, categorized according to RH conditions subsequent to the influence of the shockwave. The characteristics of the fluid are portrayed employing the hard-sphere model, while the excited state of the fluid has been substantiated through an inquiry into the RH conditions and the generation of entropy. In consonance with the research, the excited state of the fluid exhibits a robust interrelation with its unperturbed equilibrium. The hard-sphere model stands as a suitable framework for examination of the shock-induced phase transition of the fluid.