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GOES soft X-ray light curves are used to measure the timing and duration ofsolar flare emission. The timing and duration of the magnetic reconnection andsubsequent energy release which drives solar flares are unknown, though thelight curves are presumably related. It is therefore critical to understand thephysics which connects the two: how does the time scale of reconnection producean observed GOES light curve? In this work, we model the formation andexpansion of an arcade of loops with a hydrodynamic model, which we then use tosynthesize GOES light curves. We calculate the FWHM and the e-folding decaytime of the light curves and compare them to the separation of the centroids ofthe two ribbons which the arcade spans, which is representative of the sizescale of the loops. We reproduce a linear relation between the two, as foundobservationally in previous work. We show that this demonstrates a directconnection between the duration of energy release and the evolution of theselight curves. We also show that the cooling processes of individual loopscomprising the flare arcade directly affect the measured time scales. From theclear consistency between the observed and modeled linearity, we conclude thatthe primary factors that control the flare time scales are the duration ofreconnection and the loop lengths.

The direct relation between the duration of magnetic reconnection and the evolution of GOES light curves in solar flares