{"abstract":[{"text":"We investigate the early time development of the anisotropic transverse flow\r\nand spatial eccentricities of a fireball with various particle-based transport\r\napproaches using a fixed initial condition. In numerical simulations ranging\r\nfrom the quasi-collisionless case to the hydrodynamic regime, we find that the\r\nonset of $v_n$ and of related measures of anisotropic flow can be described\r\nwith a simple power-law ansatz, with an exponent that depends on the amount of\r\nrescatterings in the system. In the few-rescatterings regime we perform\r\nsemi-analytical calculations, based on a systematic expansion in powers of time\r\nand the cross section, which can reproduce the numerical findings.","lang":"eng"}],"status":"public","project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"department":[{"_id":"27"}],"publication":"arXiv:2201.13294","date_created":"2022-06-27T09:08:04Z","user_id":"67287","type":"preprint","external_id":{"arxiv":["2201.13294"]},"year":"2022","date_updated":"2022-06-27T09:35:53Z","language":[{"iso":"eng"}],"title":"Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers","citation":{"apa":"Borghini, N., Borrell, M., &#38; Roch, H. (2022). Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers. In <i>arXiv:2201.13294</i>.","ama":"Borghini N, Borrell M, Roch H. Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers. <i>arXiv:220113294</i>. Published online 2022.","short":"N. Borghini, M. Borrell, H. Roch, ArXiv:2201.13294 (2022).","ieee":"N. Borghini, M. Borrell, and H. Roch, “Early time behavior of spatial and momentum anisotropies in kinetic  theory across different Knudsen numbers,” <i>arXiv:2201.13294</i>. 2022.","mla":"Borghini, Nicolas, et al. “Early Time Behavior of Spatial and Momentum Anisotropies in Kinetic  Theory across Different Knudsen Numbers.” <i>ArXiv:2201.13294</i>, 2022.","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} }","chicago":"Borghini, Nicolas, Marc Borrell, and Hendrik Roch. “Early Time Behavior of Spatial and Momentum Anisotropies in Kinetic  Theory across Different Knudsen Numbers.” <i>ArXiv:2201.13294</i>, 2022."},"_id":"32177","author":[{"first_name":"Nicolas","last_name":"Borghini","full_name":"Borghini, Nicolas"},{"full_name":"Borrell, Marc","last_name":"Borrell","first_name":"Marc"},{"full_name":"Roch, Hendrik","first_name":"Hendrik","last_name":"Roch"}]}