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<titleInfo><title>Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers</title></titleInfo>





<name type="personal">
  <namePart type="given">Nicolas</namePart>
  <namePart type="family">Borghini</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Marc</namePart>
  <namePart type="family">Borrell</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Hendrik</namePart>
  <namePart type="family">Roch</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>







<name type="corporate">
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  <identifier type="local">27</identifier>
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  <namePart>PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing</namePart>
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<abstract lang="eng">We investigate the early time development of the anisotropic transverse flow
and spatial eccentricities of a fireball with various particle-based transport
approaches using a fixed initial condition. In numerical simulations ranging
from the quasi-collisionless case to the hydrodynamic regime, we find that the
onset of $v_n$ and of related measures of anisotropic flow can be described
with a simple power-law ansatz, with an exponent that depends on the amount of
rescatterings in the system. In the few-rescatterings regime we perform
semi-analytical calculations, based on a systematic expansion in powers of time
and the cross section, which can reproduce the numerical findings.</abstract>

<originInfo><dateIssued encoding="w3cdtf">2022</dateIssued>
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<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
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<relatedItem type="host"><titleInfo><title>arXiv:2201.13294</title></titleInfo>
  <identifier type="arXiv">2201.13294</identifier>
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<bibliographicCitation>
<ama>Borghini N, Borrell M, Roch H. Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers. &lt;i&gt;arXiv:220113294&lt;/i&gt;. Published online 2022.</ama>
<ieee>N. Borghini, M. Borrell, and H. Roch, “Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers,” &lt;i&gt;arXiv:2201.13294&lt;/i&gt;. 2022.</ieee>
<chicago>Borghini, Nicolas, Marc Borrell, and Hendrik Roch. “Early Time Behavior of Spatial and Momentum Anisotropies in Kinetic  Theory across Different Knudsen Numbers.” &lt;i&gt;ArXiv:2201.13294&lt;/i&gt;, 2022.</chicago>
<bibtex>@article{Borghini_Borrell_Roch_2022, title={Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers}, journal={arXiv:2201.13294}, author={Borghini, Nicolas and Borrell, Marc and Roch, Hendrik}, year={2022} }</bibtex>
<short>N. Borghini, M. Borrell, H. Roch, ArXiv:2201.13294 (2022).</short>
<mla>Borghini, Nicolas, et al. “Early Time Behavior of Spatial and Momentum Anisotropies in Kinetic  Theory across Different Knudsen Numbers.” &lt;i&gt;ArXiv:2201.13294&lt;/i&gt;, 2022.</mla>
<apa>Borghini, N., Borrell, M., &amp;#38; Roch, H. (2022). Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers. In &lt;i&gt;arXiv:2201.13294&lt;/i&gt;.</apa>
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