Jul 22 – 26, 2024
West University of Timisoara
Europe/Bucharest timezone

Relativistic stochastic advection diffusion equation using Metropolis

Jul 25, 2024, 3:30 PM
30m
Amphitheater A11 (West University of Timisoara)

Amphitheater A11

West University of Timisoara

Bulevardul Vasile Pârvan 4, Timișoara 300223, Romania https://www.uvt.ro/en/

Speaker

Dr Rajeev Singh (West University of Timisoara)

Description

We present a method for simulating the stochastic relativistic advection-diffusion equation using the Metropolis algorithm. This approach simulates dissipative dynamics by randomly transferring charge between fluid cells, combined with ideal hydrodynamic time steps. Charge transfers are accepted or rejected based on entropy as a statistical weight in a Metropolis step. This reproduces expected dissipative strains in relativistic hydrodynamics within a specific hydrodynamic frame known as the density-frame. Numerical results, with and without noise, are compared to relativistic kinetics and analytical expectations. Notably, unlike other numerical approaches, this method is strictly first order in gradients and lacks non-hydrodynamic modes. The simplicity and convergence properties of the Metropolis algorithm make it promising for simulating stochastic relativistic fluids in heavy ion collisions and critical phenomena.

Primary authors

Prof. Gokce Basar (University of North Carolina) Mr Jay Bhambure (Stony Brook University) Dr Rajeev Singh (West University of Timisoara) Derek Teaney (Stony Brook University)

Presentation materials