# Why does Wang-Landau algotirhm work?

1. Jul 20, 2009

### tomkeus

I sifted through significant pile of papers related to the Wang-Landau algorithm and I still don't get why does it give correct result for the density of states.

I mean, the way it is presented in the papers, it looks quite arbitrary. On the start I have the partition function $$Z(\beta)=\sum_E \rho(E)e^{-\beta E}$$ and few paragraphs later I have the histogram $$h(E)$$ and the multipliers $$f$$.

I don't understand why when the histogram is going flat, the probability density goes to the equilibrium value and why is update of the density of states performed by multiplication with $$f$$.

Last edited: Jul 20, 2009