Gießen 2024 – wissenschaftliches Programm

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HK: Fachverband Physik der Hadronen und Kerne

HK 48: Heavy-Ion Collisions and QCD Phases XII

HK 48.4: Vortrag

Mittwoch, 13. März 2024, 18:15–18:30, HBR 14: HS 1

Critical dynamics of non-equilibrium phase transitions — •Leon Sieke¹, Mattis Harhoff³, Sören Schlichting³, and Lorenz von Smekal^1,2 — ¹Institut für Theoretische Physik, Justus-Liebig-Universität Gießen, 35392 Gießen, Germany — ²Helmholtz Research Academy for FAIR (HFHF), Campus Gießen, 35392 Gießen, Germany — ³Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany

In context of the search for the QCD critical endpoint in heavy-ion collisions, a deep understanding of the out-of-equilibrium dynamics of the system is necessary to make well-grounded predictions for signatures in final states. To this end, we investigate the dynamic critical behavior of a classical scalar field theory with Z₂ symmetry in the dynamic universality class of Model A in two and three spatial dimensions. The critical dynamics of the system is studied under a linear quench protocol, where the external symmetry breaking field is changed at a constant rate through the critical point. We discuss the connection to the Kibble-Zurek mechanism and determine the dynamic critical exponent z as well as universal scaling functions. These fully describe the non-equilibrium evolution of the system near the critical point for all quench rates under consideration. We find that while the scaling functions are non-trivial, the corresponding scaling exponents are fully determined by the static critical exponents and the dynamic critical exponent. Finally, we perform a finite-size scaling analysis and observe good collapse of the data onto universal finite-size scaling functions.

Keywords: dynamic critical phenomena; scalar field theory; classical-statistical simulations