We numerically investigate the second-order phase transition of the ferromagnetic Ising model on a two-dimensional kagomé lattice. The critical behavior of this model is studied using Wang-Landau entropic sampling, and the joint density of states is obtained as a function of the energy and the magnetization. The partition function, which is a function of temperature, is calculated using the joint density of states. Using the partition function, we found a critical point and a thermodynamic function, such as the specic heat and the magnetic susceptibility, at the critical point, and by using finite-size scaling, we obtained the critical exponents in the thermodynamic limit, with those exponents satisfiying the hyperscaling relations.

Keywords: Ising model, Joint density of states, Kagomé lattice, Wang-Landau entropic sampling