The double-wedge filling transition of the Ising model revisited: a finite-size scaling analysis
Prof. Jose M. Romero Enrique (Departamento de Fisica Atomica, Universidad de Sevilla , Spain)

We propose a phenomenological theory for the finite-size scaling of the filling transition on a double wedge, based on a transfer-matrix formalism succesfully applied to the infinite wedge. From this formalism we get an analytical form for the magnetization probability distribution function at critical filling for any value of Ly/L^3. In order to test our predictions, we revisited the Ising model simulations on the double-wedge geometry and applied standard finite-size scaling techniques to locate accurately the critical filling transition.