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Mar 14 – 16, 2025
US/Pacific timezone

Simulating critical fluid dynamics in two and three dimensions

Not scheduled
20m
parallel

Speaker

Chandrodoy Chattopadhyay (North Carolina State University)

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.

Primary authors

Chandrodoy Chattopadhyay (North Carolina State University) Josh Ott (North Carolina State University) Thomas Schaefer (North Carolina State University) Vladimir Skokov (North Carolina State University)

Presentation materials

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