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LADG and KU acknowledge support from the Ministry of Science and Technology of Taiwan (grants MOST 106-2628-M-001003-MY3 and MOST 109-2112-M-001-018-MY3) and from the Academia Sinica (grant AS-IA-107-M01). LADG thanks for financial support from the State Agency for Research of the Spanish MCIU through the `Center of Excellence Severo Ochoa' award to the Instituto de Astrof ' isica de Andaluc ' ia (SEV-2017-0709), and to the PID2019-109067-GB100. EL receives support by contract ASIINAF n.2017-14-H.0, whereas WC is supported by the European Research Council under grant number 670193 and by the STFC AGP grant ST/V000594/1 and further acknowledges the science research grants from the China Manned Space Project with no. CMS-CSST2021-A01 and CMS-CSST-2021-B01. The authors are also grateful to Yutaka Fujita for sharing part of tables employed in his work, as well as the discussions carried out with him during this research, which contributed to improve this work. In addition, the authors thank the constructive and fruitful comments provided by the referee that helped to improve the content of this paper. This work has been made possible by The Three Hundred Collaboration. The simulations used in this paper have been performed in the MareNostrum Supercomputer at the Barcelona Supercomputing Center, thanks to CPU time granted by the Red Espa ~nola de Supercomputaci ' on. As part of The Three Hundred Project, this work has received financial support from the European Union's Horizon 2020 -Research and Innovation Framework Programme under the Marie Sklodowska-Curie Actions grant agreement number 734374, the LACEGAL project. For this research, we made use of multiple PYTHON packages, such as MATPLOTLIB (Hunter 2007), CORNER (Foreman-Mackey 2016), and NUMPY (Harris et al. 2020).

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The Three Hundred project: dissecting the Fundamental Plane of galaxy clusters up to z=1

Publicated to:MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY. 512 (1): 1214-1233 - 2022-05-01 512(1), DOI: 10.1093/mnras/stac527

Authors: Diaz-Garcia, Luis A.; Umetsu, Keiichi; Rasia, Elena; Cui, Weiguang; Meneghetti, Massimo;

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Abstract

We perform a systematic study of the recently discovered Fundamental Plane of galaxy clusters (CFP) using similar to 250 simulated clusters from The Three Hundred project, focusing on the stability of the plane against different temperature definitions and its dependence on the dynamical relaxation state of clusters. The CFP is characterized by T proportional to M-s(alpha) r(s)(beta), defined with the gas temperature (T) and the characteristic halo scale radius and mass (r(s) and M-s) assuming a Navarro-Frenk-White halo description. We explore two definitions of weighted temperatures, namely mass-weighted and spectroscopic-like temperatures, in three radial ranges. The Three Hundred project clusters at z = 0 lie on a thin plane whose parameters (alpha, beta) and dispersion (0.015-0.030 dex) depend on the gas temperature definition. The CFP for mass-weighted temperatures is closer to the virial equilibrium expectation (alpha = 1, beta = -1) with a smaller dispersion. For gas temperatures measured within 500 h(-1) kpc, the resulting CFP deviates the most from the virial expectation and shifts towards the similarity solution for a secondary infall model (alpha = 1.5, beta = -2). Independently of the temperature definition, we find that clusters at z = 1 and relaxed clusters form a CFP similar to the virial expectation, unlike disturbed clusters exhibiting stronger evolution. Only systems formed over the last 4 Gyr present a CFP that is closer to the similarity solution. All these findings are compatible with the CFP obtained for a Cluster Lensing And Supernova survey with Hubble subsample excluding the hottest clusters with T-X > 12 keV.

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