Intergalactic dust and its photoelectric heating

Understand

We have examined the dust photoelectric heating in the intergalactic medium (IGM).

• The heating rate in a typical radiation field of the IGM is represented by $\Gamma_{\rm pe} = 1.2\times10^{-34}$ erg s$^{-1}$ cm$^{-3}$ $({\cal D}/10^{-4})(n_{\rm H}/10^{-5} {\rm cm^{-3}})^{4/3} (J_{\rm L}/10^{-21} {\rm erg s^{-1} cm^{-2} Hz^{-1} sr^{-1}})^{2/3} (T/10^4 {\rm K})^{-1/6}$, where ${\cal D}$ is the dust-to-gas mass ratio, $n_{\rm H}$ is the hydrogen number density, $J_{\rm L}$ is the mean intensity at the hydrogen Lyman limit of the background radiation, and $T$ is the gas temperature, if we assume the new X-ray photoelectric yield model by Weingartner et al.
• (2006) and the dust size distribution in the Milky Way by Mathis, Rumpl, & Nordsieck (1977).
• This heating rate dominates the HI and HeII photoionization heating rates when the hydrogen number density is less than $\sim10^{-6}$ cm$^{-3}$ if ${\cal D}=10^{-4}$ which is 1% of that in the Milky Way, although the heating rate is a factor of 2--4 smaller than that with the old yield model by Weingartner & Draine (2001).