The onset of fluid-dynamical behavior in relativistic kinetic theory

Jorge Noronha; Gabriel S. Denicol

doi:10.1016/j.nuclphysa.2017.05.041

The onset of fluid-dynamical behavior in relativistic kinetic theory

Jorge Noronha, Gabriel S. Denicol

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	417-420
Number of pages	4
Journal	Nuclear Physics A
Volume	967
DOIs	https://doi.org/10.1016/j.nuclphysa.2017.05.041
State	Published - Nov 2017
Externally published	Yes

Keywords

Bjorken expansion
divergent gradient series
Relativistic kinetic theory

ASJC Scopus subject areas

Nuclear and High Energy Physics

Online availability

10.1016/j.nuclphysa.2017.05.041

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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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author = "Jorge Noronha and Denicol, {Gabriel S.}",

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AU - Denicol, Gabriel S.

PY - 2017/11

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AB - 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.

KW - Bjorken expansion

KW - divergent gradient series

KW - Relativistic kinetic theory

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JF - Nuclear Physics A

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The onset of fluid-dynamical behavior in relativistic kinetic theory

Abstract

Keywords

ASJC Scopus subject areas

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