Relaxation of magnetic field relative to plasma density revealed from microwave zebra patterns associated with solar flares

It is generally considered that the emission of microwave zebra pattern (ZP) structures requires high density and high temperature, which is similar to the situation of the flaring region where primary energy is released. Therefore, a parameter analysis of ZPs may reveal the physical conditions of the flaring source region. This work investigates the variations of 74 microwave ZP structures observed by the Chinese Solar Broadband Radio Spectrometer (SBRS/Huairou) at 2.6-3.8 GHz in nine solar flares, and we find that the ratio between the plasma density scale height L_Nand the magnetic field scale height L_Bin emission sources displays a tendency to decrease during the flaring processes. The ratio L_N/L_Bis about 3-5 before the maximum of flares. It decreases to about 2 after the maximum. The detailed analysis of three typical X-class flares implies that the variation of L_N/L_Bduring the flaring process is most likely due to topological changes of the magnetic field in the flaring source region, and the stepwise decrease of L_N/L_Bpossibly reflects the magnetic field relaxation relative to the plasma density when the flaring energy is released. This result may also constrain solar flare modeling to some extent.