Stretched Exponentials
From WeKey
Jump to navigationJump to searchRelaxonomy --> here
In between exponential [math]\displaystyle{ \exp(-\lambda t) }[/math] and gaussian [math]\displaystyle{ \exp[-(\sigma t)^2] }[/math] relaxation (and indeed extending beyond either) is the much-abused empirical "stretched exponential" function,
I don't much care for it. It will fit a wide variety of ZF-µSR relaxation functions, but what do the results mean? What do they tell us about the physics? There are cases where "root exponential" relaxation functions ([math]\displaystyle{ \beta = 1/2 }[/math]) suggest a rapidly fluctuating spin glass, but fit results with [math]\displaystyle{ \beta }[/math] all the way from 0.25 to 3 have been published without any hint of irony. Please don't resort to this.
