N clothes pins with a width of 2σ, a string of length L. The clothes pins can not overlap and must be uniformly distributed over the string.
Obtain the aproximate probability distribution of clothes pin positions in the ensemble of valid configurations.
The goal distribution should look like the following:
I start placing the clothes pins evenly spaced along the string. Then move one by one every clothes pin a distance between their adjacent clothes pin and make them bounce if they colide.
