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 48.6: Vortrag
Mittwoch, 13. März 2024, 18:45–19:00, HBR 14: HS 1
Non-relativistic stochastic hydrodynamics — •Mattis Harhoff1, Sören Schlichting1, and Lorenz von Smekal2,3 — 1Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany — 2Institut für Theoretische Physik, Justus-Liebig-Universität Gießen, 35392 Gießen, Germany — 3Helmholtz Research Academy for FAIR (HFHF), Campus Gießen, 35392 Gießen, Germany
Understanding dynamic critical phenomena is a crucial ingredient to finding signatures of a QCD critical endpoint in final states of non-equilibrium processes such as heavy ion collisions. If such a system exhibits the right conservation laws, its non-equilibrium dynamics in the vicinity of a critical point can be understood hydrodynamically, corresponding to Model H in the classification scheme by Halperin and Hohenberg. Since fluctuations of the order parameter diverge near a critical point, including stochastic fluctuations into the underlying hydrodynamic equations is essential to describe critical phenomena correctly. We propose a novel approach to the numerical simulation of non-relativistic stochastic hydrodynamics on a lattice in two spatial dimensions. Our method features a Metropolis-type algorithm to sample stochastic fluxes of the conserved quantities, ensuring that fluctuations follow the correct microcanonical probability distribution. Tuning input parameters using an entropy production argument generates the desired transport coefficients. We present how the algorithm can be used to simulate problems such as stochastic diffusion and give an outlook on applications in the context of non-equilibrium phase transitions.
Keywords: stochastic hydrodynamics; critical phenomena