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We analytically study the dynamical and thermal properties of theoptically-thin gases at the parsec-scale when they are spherically accretedonto low luminous active galactic nuclei (LLAGNs). The falling gases areirradiated by the central X-ray radiation with the Compton temperature of5--15$\times10^7$ K. The radiative heating/cooling and the bulge stellarpotential in galaxies are taken into account. We analyze the effect ofaccretion rate, luminosity, gas temperature, and Compton temperature on steadysolutions of dynamical and thermal properties. The steady solutions areobviously different from Bondi solution. Compared to our models, the Bondimodel underestimates the accretion rate. We give the boundary between thermalstability and instability. The boundary is significantly affected by Comptontemperature. When Compton temperature is higher, the falling gases tend tobecome thermally unstable. When thermal instability takes place in theirradiated gases, the gases become two phases (i.e. hot gases and cool gases)and the hot gases may become outflows. This effect may reduce the accretionrates.

Dynamical and thermal properties of the parsec-scale gases spherically accreted onto low luminous active galactic nuclei