We present a method that derives dust temperatures and infrared (IR) luminosities of high-redshift galaxies assuming the radiation equilibrium in a simple dust and stellar distribution geometry. Using public data in the Atacama Large Millimeter/submillimeter Array (ALMA) archive, we studied dust temperatures in a clumpy interstellar medium (ISM) model for high-redshift galaxies, and tested consistency of the results with what derived from other methods. We find the dust distribution model assuming clumpiness of log ๐ clp = โ1.02 ยฑ 0.41 can represent the ISM of high-redshift star-forming galaxies. By assuming the value of ๐ clp , our method enables to derive dust temperatures and IR luminosities of high-redshift galaxies from only a single-band ALMA observation that gives two ALMA measurements required for the method: the dust continuum flux and the dust continuum emission size. Using this method, we demonstrate to find the dust temperature (๐ d = 95 +13 โ17 K) of a ๐ง โผ 8.3 star-forming galaxy, MACS0416-Y1. The method only requires a single-band dust observation to derive a dust temperature. It is more easily accessible than multi-band observations or emission line searches at high-redshift. Thus can be applicable to large samples of galaxies in future studies using high-resolution interferometers such as ALMA.
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