3 research outputs found
Probability Distribution Function of the Order Parameter: Mixing Fields and Universality
We briefly review the use of the order parameter probability distribution
function as a useful tool to obtain the critical properties of statistical
mechanical models using computer Monte Carlo simulations. Some simple discrete
spin magnetic systems on a lattice, such as Ising, general spin- Blume-Capel
and Baxter-Wu, -state Potts, among other models, will be considered as
examples. The importance and the necessity of the role of mixing fields in
asymmetric magnetic models will be discussed in more detail, as well as the
corresponding distributions of the extensive conjugate variables.Comment: 14 pages, 13 figures, accepted for publication (Computer Physics
Communications
Percolation model for structural phase transitions in LiHIO mixed crystals
A percolation model is proposed to explain the structural phase transitions
found in LiHIO mixed crystals as a function of the
concentration parameter . The percolation thresholds are obtained from Monte
Carlo simulations on the specific lattices occupied by lithium atoms and
hydrogen bonds. The theoretical results strongly suggest that percolating
lithium vacancies and hydrogen bonds are indeed responsible for the solid
solution observed in the experimental range .Comment: 4 pages, 2 figure