Title: Scaling Laws for a Nanoflare‐Heated Solar Corona
Abstract: The concept that the solar corona is heated by numerous small flarelike events dubbed "nanoflares" is considered. The hot corona is viewed as an ensemble of high-temperature elemental magnetic filaments created within the coronal magnetic field by randomly distributed impulsive heating events. It is shown that such an approach allows us to predict various signatures of X-ray coronal loops without specifying the details of the heating process. In particular, the dependence of the temperature, filling factor, and emission measure on the length of the loop and strength of the coronal magnetic field is derived. The obtained scaling laws fit reasonably with observational data.