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Kinetic approach to relativistic dissipation
A Gabbana1, M Mendoza2, S Succi3
1INFN-Ferrara, Università di Ferrara, Via Saragat 1, I-44122 Ferrara, Italy.
Understanding how relativistic fluid dissipation emerges from microscopic dynamics is challenging. This study supports the Chapman-Enskog procedure over Grad's method for deriving transport coefficients in relativistic hydrodynamics.
Area of Science:
- Relativistic fluid dynamics
- Kinetic theory
- Hydrodynamics
Background:
- The emergence of dissipation from microscopic dynamics in relativistic fluids remains incompletely understood.
- Deriving transport coefficients in the pathway from kinetic theory to hydrodynamics requires further refinement.
Purpose of the Study:
- To investigate the mechanisms of dissipation in relativistic fluids.
- To compare the effectiveness of different theoretical methods in capturing dissipative effects.
Main Methods:
- Matching data from lattice-kinetic simulations with analytical predictions.
- Evaluating the Chapman-Enskog procedure and Grad's method.
Main Results:
- Numerical results provide strong evidence favoring the Chapman-Enskog procedure.
- Qualitative insights suggest why the Chapman-Enskog expansion is better suited for relativistic fluids.
Conclusions:
- The Chapman-Enskog procedure is well-suited for deriving transport coefficients in relativistic hydrodynamics.
- This work clarifies the pathway from kinetic theory to hydrodynamics for dissipative effects.
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