Abstract The dynamical scaling behavior of hydrodynamic and non-hydrodynamic moments of the distribution function is stud- ied using third-order Chapman-Enskog hydrodynamics and anisotropic hydrodynamics for systems undergoing Bjorken and Gubser expansions, where exact solutions of the Boltzmann equation in Relaxation Time Approximation (RTA) are available for comparison. While dimensionless quantities like normalized shear, pressure anisotropy and normalized entropy show at late times universal scaling relations with small (large) Knudsen number for Bjorken (Gubser) flows, di- mensionful quantities like the entropy per unit rapidity do not. Although the two hydrodynamic approximation schemes describe the exact attractors for normalized shear with high accuracy, their description for the normalized entropy is less precise. We attribute this to non-negligible couplings to non-hydrodynamic modes in the entropy evolution.
Thermalization & hydrodynamics in Bjorken & Gubser flows
Chandrodoy Chattopadhyay,U. Heinz,S. Pal,G. Vujanovic
Published 2018 in Nuclear Physics
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2018
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Nuclear Physics
- Publication date
2018-07-14
- Fields of study
Physics
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