Erlangen 2026 – wissenschaftliches Programm
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HK: Fachverband Physik der Hadronen und Kerne
HK 15: Heavy-Ion Collisions and QCD Phases II
HK 15.7: Vortrag
Dienstag, 17. März 2026, 17:45–18:00, PHIL C 601
Numerical simulations of stochastic fluids via the Metropolis algorithm — •Mattis Harhoff1, Sören Schlichting1, and Lorenz von Smekal2,3 — 1Fakultät für Physik, Universität Bielefeld, Universitätsstr. 25, Bielefeld, 33615, Germany — 2Institut für Theoretische Physik, Justus-Liebig-Universität, Heinrich-Buff-Ring 16, 35392, Gießen, Germany — 3Helmholtz Forschungsakademie Hessen für FAIR (HFHF), Campus Gießen, 35392, Gießen, Germany
Stochastic hydrodynamics provides a dynamical framework for the evolution of fluctuations in heavy-ion collisions, but poses significant challenges in numerical simulations. We present an algorithm for the simulation of non-relativistic stochastic hydrodynamics in two spatial dimensions in a box, both in the cases of compressible and incompressible fluids. We use the robust Metropolis algorithm, handling fluctuations and dissipation at once by systematically replacing dissipative terms in the hydrodynamic equations by random forces. The algorithm can easily be modified for numerical simulations of other hydrodynamic theories. We present test cases as well as numerical calculations of the renormalization of shear viscosity, and give an outlook to critical dynamics and relativistic theories.
Keywords: Stochastic Hydrodynamics; Hydrodynamic Fluctuations