Abstract

We explore the possibility of detecting radio emission in the \emph{cosmic web} by analyzing shock waves in the MareNostrum cosmological simulation. This requires a careful calibration of shock finding algorithms in Smoothed-Particle Hydrodynamics simulations, which we present here. Moreover, we identify the elements of the cosmic web, namely voids, walls, filaments and clusters with the use of the SpineWeb technique, a procedure that classifies the structure in terms of its topology. Thus, we are able to study the Mach number distribution as a function of its environment. We find that the median Mach number, for clusters is Mclusters≈1.8\mathcal{M}_{\mathrm{clusters}}\approx1.8, for filaments is Mfilaments≈6.2\mathcal{M}_{\mathrm{filaments}}\approx 6.2, for walls is Mwalls≈7.5\mathcal{M}_{\mathrm{walls}}\approx 7.5, and for voids is Mvoids≈18\mathcal{M}_{\mathrm{voids}}\approx 18. We then estimate the radio emission in the cosmic web using the formalism derived in Hoeft & Brüggen (2007). We also find that in order to match our simulations with observational data (e.g., NVSS radio relic luminosity function), a fraction of energy dissipated at the shock of ξe=0.0005ξ_{\mathrm{e}}=0.0005 is needed, in contrast with the ξe=0.005ξ_{\mathrm{e}}=0.005 proposed by Hoeft et al. (2008). We find that 41% of clusters with M≥1014M⊙M \ge 10^{14} M_{\odot} host diffuse radio emission in the form of radio relics. Moreover, we predict that the radio flux from filaments should be S150MHz∼0.12S_{150 MHz}\sim 0.12 μμJy at a frequency of 150 MHz.

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