Flux-rms relation in solar radio bursts

One recent discovery that provides a strong constraint on the mechanisms of astrophysical activities is the correlation between the flux and the root-mean-squared (rms) variability of X-ray emission. In this work we study the flux-rms relation of solar radio bursts. Four flares observed by the Solar Radio Broadband Spectrometer (SRBS) of China are analyzed. In these flares, fine structures (FSs) emerge at least in one frequency band of SRBS. We find that the flux-rms relation consists of two components. One relates to the non-FS emission and the other to the FS emission. The flux-rms relationship for the non-FS part of the radio bursts is clearly different from that for the FS part. The former shows a curve-like behavior, while the latter shows a dramatic variation. We propose a model to describe the flux-rms relation of the non-FS part. Our results imply that the non-FS part emission could be triggered by some multiplicative processes. On the contrary, multiplicative mechanisms should be excluded from the explanations of FSs in the radio bursts.