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jasonlarkin edited this page Oct 2, 2012 · 9 revisions

\usepackage{amsmath}

[ E^L\kv = \left|\sum_{l,b} \hat{\mathbf{\kappa}} \cdot e\kvba \EXP{i\pmb{\kappa}\cdot\mathbf{r}_0\ab{l}{b}} \right|^2 ]

\begin{equation}\label{EQ:M:SL} S^{L}\kw = \frac{k_bT\kappa^2}{m\omega^2} \sum_{\nu} E^L\kv \Theta\left( 0.1 - \left| \frac{\omega-\omega\kv}{\omega} \right| \right) \end{equation}

##results

##c=0.05

broadening = 1.0*average_level_spacing

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_ald_taud_c0.05_broaden1.0.png

broadening = 10.0*average_level_spacing

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_ald_taud_c0.05_broaden10.0.png

broadening = 100.0*average_level_spacing

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_ald_taud_c0.05_broaden100.0.png

broadening = 500.0*average_level_spacing

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_ald_taud_c0.05_broaden500.0.png

using iteration

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_alloy_taud_iteration.png

###nmd vs ald+taud

broadening = 1.0*average_level_spacing

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_ald_taud_c0.05_broaden1.0.png

broadening = 10.0*average_level_spacing

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_ald_taud_c0.05_broaden10.0.png

broadening = 100.0*average_level_spacing

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_ald_taud_c0.05_broaden100.0.png

broadening = 500.0*average_level_spacing

https://raw.github.com/jasonlarkin/disorder/master/lj/alloy/m_ald_taud_c0.05_broaden500.0.png

https://github.com/jasonlarkin/disorder/blob/master/matlab/m_ld_defect_life.m

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