  Extreme ultraviolet (EUV) solar flare emissions evolve in time as the
emitting plasma heats and then cools. Although accurately modeling this
evolution has been historically difficult, especially for empirical
relationships, it is important for understanding processes at the Sun, as well
as for their influence on planetary atmospheres. With a goal to improve
empirical flare models, a new simple empirical expression is derived to predict
how cool emissions will evolve based on the evolution of a hotter emission.
This technique is initially developed by studying 12 flares in detail observed
by the EUV Variability Experiment (EVE) onboard the Solar Dynamics Observatory
(SDO). Then, over 1100 flares observed by EVE are analyzed to validate these
relationships. The Cargill and Enthalpy Based Thermal Evolution of Loops
(EBTEL) flare cooling models are used to show that this empirical relationship
implies the energy radiated by a population of hotter formed ions is
approximately proportional to the energy exciting a population of cooler formed
ions emitting when the peak formation temperatures of the two lines are up to
72% of each other and above 2 MK. These results have practical implications for
improving flare irradiance empirical modeling and for identifying key emission
lines for future monitoring of flares for space weather operations; and also
provide insight into the cooling processes of flare plasma.
