Example of a model for a function

[Ssnow]

TL;DR

I want to ask if somebody know a practical example of phenomena that is modelled by the math function cited in the post.

Hi!!
There is some natural phenomena (finalcial or other field ... ) that is modelled by the following real function (of a similar function less then a constant): $$y=f(x)=x^{\frac{2}{x}}$$

or
$$y=x^{\frac{k}{x}}, \ \ \ \ \ \ \ \ \forall k\in\mathbb{R}$$

thanks,
Ssnow

 

[haruspex]

I would think it extremely unlikely.