โ Scribed by N.S. Branco; Anna Chame
No coin nor oath required. For personal study only.
We study the inhomogeneous magnetization behavior of an Ising ferromagnet in Sierpinski pastry shells, using a real-space renormalization group approach. Two qualitatively different regions on the fractal are distinguished: the bulk and the set of internal surfaces which border the eliminated portions. We obtain the spontaneous mean magnetizations for these regions as a function of the temperature for different values of a = Js/Js (Js and J, are the internal surface and bulk coupling constants respectively) and different geometrical parameters b and 1. The critical p exponents are obtained for the several transitions. We obtain different universality classes for the bulk transitions, depending on what occurs at the surfaces, and a step-like behavior of the magnetization as a function of the temperature for some values of b and 1.
๐ SIMILAR VOLUMES
Small-angle neutron scattering (SANS) was used to study the fractal structure of Ratawi petroleum asphaltenes in toluene. For analysis of the SANS data, the asphaltene aggregates are modelled as polydisperse fractal objects containing monodisperse asphaltene micelles as unit particles. This model is