Files
lammps/doc/src/Eqs/fix_spin_cubic.tex
julient31 11f223416c Commit JT 051319
- added a cubic anisotropy in fix_precession_spin
- added associated doc and examples
- corrected neb/spin commands in doc/src/
- added tools/spin/ description
2019-05-13 16:59:39 -06:00

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TeX

\documentclass[preview]{standalone}
\usepackage{varwidth}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath,amssymb,amsthm,bm}
\begin{document}
\begin{varwidth}{50in}
\begin{equation}
\bm{H}_{cubic} = -\sum_{{ i}=1}^{N} K_{1}
\Big[
\left(\vec{s}_{i} \cdot \vec{n1} \right)^2
\left(\vec{s}_{i} \cdot \vec{n2} \right)^2 +
\left(\vec{s}_{i} \cdot \vec{n2} \right)^2
\left(\vec{s}_{i} \cdot \vec{n3} \right)^2 +
\left(\vec{s}_{i} \cdot \vec{n1} \right)^2
\left(\vec{s}_{i} \cdot \vec{n3} \right)^2 \Big]
+K_{2}^{(c)} \left(\vec{s}_{i} \cdot \vec{n1} \right)^2
\left(\vec{s}_{i} \cdot \vec{n2} \right)^2
\left(\vec{s}_{i} \cdot \vec{n3} \right)^2 \nonumber
\end{equation}
\end{varwidth}
\end{document}