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Andrea Bedini edited A model with competing interactions.tex
almost 10 years ago
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We study the model via computer simulations using the flatPERM algorithm, and so extend the study of INNSAT in \cite{Bedini_2013_INNSAT}. We point out that this model has been studied some time ago by Wu and Bradley \cite{Wu_1990} via real-space renormalisation, which predicted a tetra-critical point separating the ISAT and ISAW collapse points. In contrast, we find that there is likely to be the ISAT collapsed point itself, that separates a line of first-order transitions from ISAW-like weaker $\theta$-point type transitions.
In
\ref{sec:isat-nn} Section~\ref{sec:isat-nn} we define the model introduced by Wu and Bradley. In
Section 3, Section~\ref{sec:numerical-results}, we present the results of our simulational studies and deduce a conjectured phase diagram. We end by summarising our conclusions in Section 5.