%0 Journal Article %T Difference of energy density of states in the Wang-Landau algorithm %A Yukihiro Komura %A Yutaka Okabe %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevE.85.010102 %X Paying attention to the difference of density of states, \Delta ln g(E) = ln g(E+\Delta E) - ln g(E), we study the convergence of the Wang-Landau method. We show that this quantity is a good estimator to discuss the errors of convergence, and refer to the $1/t$ algorithm. We also examine the behavior of the 1st-order transition with this difference of density of states in connection with Maxwell's equal area rule. A general procedure to judge the order of transition is given. %U http://arxiv.org/abs/1201.1683v1