I have physical data and I wanted to use a logistic function to fit them. In this context, I came across the so-called Boltzmann-fit which fits nicely to the data but since I wonder where does it come from:
I struggle to separate (if even possible) that Boltzmann-fit from the Maxwell-Boltzmann distribution curve and the Boltzmann equation. I'm also not able to find that much about this fit which makes me wonder as Boltzmann contributed probably among few others some of the most crucial findings.
In short: Where does this "fit" come from? Is it the Boltzmann equation? Is it cconnected to the Maxwell-Boltzmann distribution? Is it something else?
edit: Some "official" information: