The onset of fluid-dynamical behavior in relativistic kinetic theory
Jorge L. Noronha, Gabriel S. Denicol
Abstract
Jorge L. Noronha, Gabriel S. Denicol
Abstract
In this proceedings we discuss recent findings regarding the large order behavior of the Chapman-Enskog expansion in relativistic kinetic theory. It is shown that this series in powers of the Knudsen number has zero radius of convergence in the case of a Bjorken expanding fluid described by the Boltzmann equation in the relaxation time approximation. This divergence stems from the presence of non-hydrodynamic modes, which give non-perturbative contributions to the Knudsen series.
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In this proceedings we discuss recent findings regarding the large order behavior of the Chapman-Enskog expansion in relativistic kinetic theory. It is shown that this series in powers of the Knudsen number has zero radius of convergence in the case of a Bjorken expanding fluid described by the Boltzmann equation in the relaxation time approximation. This divergence stems from the presence of non-hydrodynamic modes, which give non-perturbative contributions to the Knudsen series.
Key concepts: Knudsen number, Kinetic theory, Physics, Boltzmann equation, Series (stratigraphy), Kinetic energy, Divergence (linguistics), Radius of convergence