Can Steady Heating Proportional to Magnetic Field Strength Solve the Coronal Heating Paradox?

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The time scale of the heating in solar corona has been studied through comparisons of observations with the results of one-dimensional hydrodynamic models for the past 30 years. Over this time, two apparently contradictory conclusions have been reached. Some observations, particularly of the hotter, shorter loops, are consistent with steady heating while other observations, particularly of longer, cooler loops, show that the loops are evolving and consistent with impulsive heating. In this poster, we investigate a possible solution to this paradox that has been heretofore overlooked, namely heating that is steady and proportional to the local magnetic field strength to some power. Short loops with near constant magnetic field along their lengths will have solutions consistent with steady heating. Long loops with large gradients in the magnetic field along their lengths will have highly stratified heating. Such heating has no steady state and hence produces dynamic solutions. We will discuss the properties of evolving loops heated with highly stratified heating functions, and we will compare them with X-ray and EUV observations.

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