Köln 2025 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 3: Heavy-Ion Collisions and QCD Phases I

HK 3.6: Talk

Monday, March 10, 2025, 16:15–16:30, HS 3 Chemie

Universal non-equilibrium scaling of cumulants across a critical point — •Leon J. Sieke¹, Mattis Harhoff³, Sören Schlichting³, and Lorenz von Smekal^1,2 — ¹Institut für Theoretische Physik, Justus-Liebig-Universität, 35392 Gießen, Germany — ²Helmholtz Forschungsakademie Hessen für FAIR (HFHF), Campus Gießen, 35392 Gießen, Germany — ³Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany

We study the critical dynamics of a scalar field theory with Z₂ symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the non-equilibrium behavior of the system under a quench protocol in which the symmetry-breaking external field is changed at a constant rate through the critical point. Using the well-established Kibble-Zurek scaling theory we compute non-equilibrium scaling functions of cumulants of the order parameter up to fourth order. Together with the static critical exponents and the dynamic critical exponent, these fully describe the universal non-equilibrium evolution of the system near the critical point. We further extend the analysis to include finite-size effects and observe good collapse of our data onto two-dimensional universal non-equilibrium and finite-size scaling functions.

Keywords: dynamic critical phenomena; non-equilibrium phase transition; classical-statistical simulations