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Simulations of Stochastic Fluid Dynamics near a Critical Point in the Phase Diagram

Journal Article · · Physical Review Letters
 [1];  [2];  [2];  [2]
  1. North Carolina State University, Raleigh, NC (United States); North Carolina State University; North Carolina State University
  2. North Carolina State University, Raleigh, NC (United States)
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Here, we present simulations of stochastic fluid dynamics in the vicinity of a critical endpoint belonging to the universality class of the Ising model. This study is motivated by the challenge of modeling the dynamics of critical fluctuations near a conjectured critical endpoint in the phase diagram of quantum chromodynamics (QCD). We focus on the interaction of shear modes with a conserved scalar density, which is known as model H. We show that the observed dynamical scaling behavior depends on the correlation length and the shear viscosity of the fluid. As the correlation length is increased or the viscosity is decreased we observe a crossover from the dynamical exponent of critical diffusion, z≃4, to the expected scaling exponent of model H, z≃3. We use our method to investigate the time-dependent correlation function of non-Gaussian moments Mn(t) of the order parameter. We find that the relaxation time depends in a nontrivial manner on the power n.
Research Organization:
North Carolina State University, Raleigh, NC (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-03ER41260; SC0020081
OSTI ID:
2404599
Alternate ID(s):
OSTI ID: 2474085
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 3 Vol. 133; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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