Integrable equation of state and finite size effect

15 Dec 2024, 13:00
15m
Faculty of Physics (Warsaw University of Technology)

Faculty of Physics

Warsaw University of Technology

Koszykowa 75 00-662 Warsaw, Poland

Speaker

Xin An (National Center for Nuclear Research)

Description

We analyze an effective statistical model for nuclear matter based on a virial-type expansion for the internal energy. In the thermodynamic limit, the order parameter satisfies an integrable partial differential equation, whose solution is a family of equations of state unveiling nuclear and quark-hadron phase transitions through gradient catastrophe and shock formation. We further demonstrate that corrections to the critical behavior, accounting for a finite number of particles in the system, are not just non-negligible but also important in heavy-ion-collision experiments.

Presentation materials