Discover Steady-State Concentration for Diffusion in a 1D Trap with U(x) = ax^2

[superwolf]

N particles diffuse in one dimension in the potential U(x) = ax^2, with a > 0.
Find steady-state concentration, c0(x).

No idea how to solve this. Any equations?

 

[superwolf]

Here's the answer

I still don't understand HOW they obtain that expression...

 

[superwolf]

Bump!