Hi James,

sorry, I have no reference for electronic components but this function is well known for creep (relaxation) of (polycrystalline) piezoelectric materials; it should be easy to find references for this. I guess that the underlying physics is comparable in the two cases: A sum of exponential relaxation processes with a many different time constants.

In your current case, the fit function won't describe the drift for large times: Eventually, you should reach thermal equilibrium, and there should be no drift any more, but the y = a + b*ln(x + c) function will continue to change forever (though at a rate that decreases with 1/time).

So far my 2 cents,

Michael
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On 07/08/2025 03:18, James Ewing wrote:
> There’s a function suggested in Image->Stacks->Plot Z-axis Profile, under the Data/Add_Fit button that I’ve found to be very useful for fitting data in MRI studies that have a receiver gain drift due to heating of some active components in the receiver coil. The function is y = a +b*ln(x +c). I’ve been looking for a reference (citation) to this function’s use, but haven’t found anything specific on the web. Can someone tell me where this function was suggested as an heuristic function for fitting heating of electronic components?
>
>    - James Ewing

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