arXiv subjects

Octavio Daniel Rodriguez Salmon

Publications and source records attributed to Octavio Daniel Rodriguez Salmon.

2 recordsLinked to original sources

arXiv2018

Ferromagnetic phases due to competing short- and long-range interactions in the spin-S Blume-Capel model

We broaden the study of the statistical physics of the spin-$S$ Blume-Capel model with ferromagnetic mean-field interactions $J$ in competition with short-range antiferromagnetic interactions $K$ in a linear chain in the thermodynamic limit. This work describes the critical behavior of the model when the $S$ takes a half integer and an integer value. In both cases the phase diagrams exhibit new ferromagnetic phases (for certain values of $K$) enclosed by branches emerging from the first-order frontiers of the pure ferromagnetic model. For finite temperatures the complex topologies were obtained by numerical minimization of the free energy.

cond-mat.stat-mech↗

arXiv2016

The Anisotropic Four-State Clock Model in the Presence of Random Fields

A four-state clock ferromagnetic model is studied in the presence of different configurations of anisotropies and random fields. The model is considered in the limit of infinite-range interactions, for which the mean-field approach becomes exact. Both representations of Cartesian spin components and two Ising variables are used, in terms of which the physical properties and phase diagrams are discussed. The random fields follow bimodal probability distributions and the richest criticality is found when the fields, applied in the two Ising systems, are not correlated. The phase diagrams present new interesting topologies, with a wide variety of critical points,which are expected to be useful in describing different complex phenomena.

cond-mat.stat-mech↗