The Lifetime of FRIIs in Groups and Clusters: Implications for Radio-Mode Feedback
Jonathan C. Bird (1), Paul Martini (1), Christian R. Kaiser (2) ((1), The Ohio State University, (2) University of Southampton)

TL;DR
This study estimates the maximum lifetime of FRII radio sources in galaxy groups to be about 15 million years, providing insights into AGN feedback timescales and their role in galaxy evolution.
Contribution
The paper introduces a method combining mock catalogs and analytical models to estimate FRII radio source lifetimes, accounting for uncertainties and environmental effects.
Findings
Average FRII lifetime is approximately 15 million years.
Radio AGN fraction varies with group and galaxy properties.
FRII lifetime aligns with quasar lifetime despite sub-Eddington accretion.
Abstract
We determine the maximum lifetime t_max of 52 FRII radio sources found in 26 central group galaxies from cross correlation of the Berlind SDSS group catalog with the VLA FIRST survey. Mock catalogs of FRII sources were produced to match the selection criteria of FIRST and the redshift distribution of our parent sample, while an analytical model was used to calculate source sizes and luminosities. The maximum lifetime of FRII sources was then determined via a comparison of the observed and model projected length distributions. We estimate the average FRII lifetime is 1.5x10^7 years and the duty cycle is ~8x10^8 years. Degeneracies between t_max and the model parameters: jet power distribution, axial ratio, energy injection index, and ambient density introduce at most a factor of two uncertainty in our lifetime estimate. In addition, we calculate the radio active galactic nuclei (AGN)…
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