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arXiv · 2411.06267

Divergence and resummation of the moment expansion for an ultrarelativistic gas in Bjorken flow

Caio V. P. de Brito·David Wagner·Gabriel S. Denicol·Dirk H. Rischke
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Abstract

In this letter, we demonstrate for the first time that the moment expansion for an ultrarelativistic gas undergoing Bjorken flow diverges. We then show how this series can be resummed using the Borel-Pad\'e method and use this to determine the single-particle distribution function of the gas. Finally, we compare the exact resummed solution of the single-particle distribution function with solutions of the Boltzmann equation in the hydrodynamic limit and verify that the system displays considerable deviations from local equilibrium.

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Caio V. P. de Brito, David Wagner, Gabriel S. Denicol, Dirk H. Rischke. 2024-11-09. Divergence and resummation of the moment expansion for an ultrarelativistic gas in Bjorken flow. https://arxiv.org/abs/2411.06267

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