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Transport coefficients for stochastic rotation dynamics in three dimensions.
1School of Physics and Astronomy, University of Minnesota, 116 Church Street SE, Minneapolis, Minnesota 55455, USA.
Summary
This study derives transport coefficients for a stochastic fluid dynamics model using Green-Kubo relations. The model shows excellent agreement with simulation data, comparing two collision rules for efficiency.
Area of Science:
- Computational physics
- Fluid dynamics
- Stochastic modeling
Background:
- Simulating fluctuating fluid dynamics requires accurate models.
- Stochastic models offer a computational approach to fluid dynamics.
- Transport coefficients are crucial for understanding fluid behavior.
Purpose of the Study:
- Derive explicit expressions for transport coefficients in a 3D stochastic fluid dynamics model.
- Validate the model's accuracy against simulation data.
- Compare the computational efficiency of different collision rules within the model.
Main Methods:
- Application of Green-Kubo relations.
- Utilizing simple kinetic arguments.
- Three-dimensional simulations of fluid dynamics.
Main Results:
- Explicit expressions for transport coefficients were successfully derived.
- The derived coefficients demonstrated excellent agreement with simulation data.
- Computational efficiency of two distinct collision rules was evaluated.
Conclusions:
- The stochastic model accurately predicts transport coefficients for fluctuating fluid dynamics.
- The Green-Kubo relations and kinetic arguments provide a valid framework for analysis.
- The choice of collision rule impacts computational efficiency.