Fig. 8. (Color online) The temperature dependence of $\cot\Theta_{H}$ in the Born-Infeld case. Density plots of ${\rm d}\log_{10}({\rm d}\cot\Theta_{H}/$ ${\rm d}T)/{\rm d}\log_{10}T$ versus $a$ and $\log_{10}(T/\alpha)$ at various fixed values of $h/\alpha^{2}$ and $\rho/\alpha^{2}$ after taking into account the symmetry between $h/\alpha^{2}$ and $\rho/\alpha^{2}$.
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