# Kris's Research Notes

## October 8, 2010

### Marginal Distributions – Part 5

Filed under: Stat. Mech for SOS Model — Kris Reyes @ 4:05 pm

Now I compare marginal distributions for a system with initial profile

$h_i = \begin{cases} 0 & i < 16 \\ 64\sin\left(\frac{2\pi}{32}(i-16)\right) & 16 \leq i \leq 48\\ 0 & i > 48.\end{cases}$

That is, like in the previous post, but with an even more compressed sine function. The motivation behind this is to provide a buffer between the boundary and the mass in the middle, which we hope will lead to a continuous profile at the boundary.