We present an archival analysis of Chandra X-ray observations for twelve nearby early-type galaxies hosting radio sources with radio power > 10 ^ { 23 } W~ { } Hz ^ { -1 } at 1.4 GHz , similar to the radio power of the radio source in NGC 4261 .
Previously , in a similar analysis of eight nearby X-ray and optically-bright elliptical galaxies , , found that NGC 4261 exhibited unusually low central gas entropy compared to the full sample .
In the central 0.3 kpc of NGC 4261 , the ratio of cooling time to freefall time ( t _ { cool } / t _ { ff } ) is less than 10 , indicating that cold clouds may be precipitating out of the hot ambient medium and providing fuel for accretion in the central region .
NGC 4261 also hosts the most powerful radio source in the original sample .
Because NGC 4261 may represent an important phase during which powerful feedback from a central active galactic nucleus ( AGN ) is fueled by multiphase condensation in the central kpc , we searched the Chandra archive for analogs to NGC 4261 .
We present entropy profiles of those galaxies as well as profiles of t _ { cool } / t _ { ff } .
We find that one of them , IC 4296 , exhibits properties similar to NGC 4261 , including the presence of only single phase gas outside of r \sim 2 kpc and a similar central velocity dispersion .
We compare the properties of NGC 4261 and IC 4296 to hydrodynamic simulations of AGN feedback fueled by precipitation .
Over the course of those simulations , the single phase galaxy has an entropy gradient that remains similar to the entropy profiles inferred from our observations .