Speaker
Description
We describe numerical simulations of stochastic fluid dynamics near a critical point in the Ising universality class. This theory is known as model H, and is expected to govern universal dynamics in the vicinity of a possible critical endpoint in the QCD phase diagram. We verify dynamic scaling near the critical point of a two and three-dimensional fluid and extract the associated critical exponent z. We find z $\simeq$ 3 in three dimensions, and z $\simeq$ 2 for a two-dimensional fluid. In a finite system, we observe a crossover between the mean field value z = 4 and the true critical exponent z $\simeq$ 3 (z $\simeq$ 2 in d = 2). We show that this crossover is sensitive to the values of the correlation length and the renormalized shear viscosity.