• Corpus ID: 119161989

# Divergence of the Chapman-Enskog expansion in relativistic kinetic theory

@article{Denicol2016DivergenceOT,
title={Divergence of the Chapman-Enskog expansion in relativistic kinetic theory},
author={Gabriel S. Denicol and Jorge Noronha},
journal={arXiv: Nuclear Theory},
year={2016}
}
• Published 28 August 2016
• Physics
• arXiv: Nuclear Theory
In this letter we show for the first time that the relativistic Chapman-Enskog series for a massless gas undergoing Bjorken expansion diverges. In order to fix this problem, we propose a novel type of expansion that includes non-perturbative contributions in the Knudsen number that are not considered in Chapman-Enskog theory. This approach is in good agreement with exact solutions of the Boltzmann equation for a wide range of values of Knudsen number and does not display the clear signs of…
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## References

SHOWING 1-10 OF 32 REFERENCES
Grundzuge Einer Allgemeinen Theorie Der Linearen Integralgleichungen
Es sei K (s, t) eine Funktion der reellen Veranderlichen s, t; f(s) sei eine gegebene Funktion von s und ϕ (s) werde als die zu bestimmende Funktion von s angesehen; jede der Veranderlichen s, t moge
Ann
• Psychology
• 2005
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
Phys
• Fluids 6, 147
• 1963
Phys
• Rev. 94, 511
• 1954
Physica 74
• 466
• 1974
Phys
• Rev. C 88, 024903
• 2013
Phys
• Rev. Lett. 56, 1571
• 1986
E
• M. Lifshitz, Fluid Mechanics
• 1987
Phys
• Rev. Lett. 105, 162501
• 2010