Radio Emission in the Cosmic Web

TL;DR

This study investigates radio emissions in the cosmic web by analyzing shock waves in cosmological simulations, classifying structures, and estimating radio flux, providing insights into the detectability of cosmic web radio signals.

Contribution

It introduces a calibrated shock finding method in SPH simulations and applies the SpineWeb technique to classify cosmic web structures for radio emission analysis.

Findings

Median Mach numbers vary across structures: clusters ~1.8, filaments ~6.2, walls ~7.5, voids ~18.

A shock energy dissipation fraction of 0.0005 matches observational data.

41% of massive clusters host diffuse radio relics, and filament radio flux is predicted at 0.12 μJy at 150 MHz.

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 $\mathcal{M}_{\mathrm{clusters}}\approx1.8$, for filaments is $\mathcal{M}_{\mathrm{filaments}}\approx 6.2$, for walls is $\mathcal{M}_{\mathrm{walls}}\approx 7.5$, and for voids is $\mathcal{M}_{\mathrm{voids}}\approx 18$. We then estimate the radio emission in the cosmic web using the formalism derived in Hoeft & Br\"{u}ggen (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 $\xi_{\mathrm{e}}=0.0005$ is needed, in contrast with the $\xi_{\mathrm{e}}=0.005$ proposed by Hoeft et al. (2008). We find that 41% of clusters with $M \ge 10^{14} M_{\odot}$ host diffuse radio emission in the form of radio relics. Moreover, we predict that the radio flux from filaments should be $S_{150 MHz}\sim 0.12$ $\mu$Jy at a frequency of 150 MHz.