The scattering rates $\Gamma_{m}^{s,s'}$ are given by $$\Gamma_{m}^{s,s'}=\left(v\beta\hbar\right)^{2}L_{s,s'}^{-1}\left\langle \chi_{\mathbf{k},\lambda}^{\left(m,s\right)}\left|\mathcal{C}\right|\chi_{\mathbf{k},\lambda}^{\left(m',s'\right)}\right\rangle .\label{eq:Definition_scattering_rates}$$ Because of the definition of the scalar product in Eq. (\[eq:Scalar\_product\]), the matrix elements have dimension ${\rm length}$$^{2}/{\rm time}$. Vanishing scattering rates indicate conservation laws, and the corresponding modes are zero modes of the full collision operator as well as its collinear part. These modes reflect the conservation of particle density, imbalance density, energy density and momentum density: $$\begin{array}{ccc}
\chi_{\mathbf{k},\lambda}^{\left(s=1,m=0\right)}=1, & \qquad & \chi_{\mathbf{k},\lambda}^{\left(s=2,m=0\right)}=\lambda,\end{array}$$ $$\chi_{\mathbf{k},\lambda}^{\left(s=3,m=0\right)}=\lambda\beta v\hbar k,\qquad\chi_{\mathbf{k},\lambda}^{\left(s=3,m=1\right)}=\lambda e^{i\theta}\beta v\hbar k.$$ The imbalance density is conserved only to order $\alpha^{2}$, as it decays due to higher order interaction processes. An important simplification stems from the fact that all scattering rates, for large $\left|m\right|$, share the asymptotic behavior $\Gamma_{m}\sim\left|m\right|$. This becomes a reasonable approximation for the scattering rates with $m\geq2$. In the next section it is shown, how this behavior allows us to obtain closed form expressions for the non-local transport coefficients. As discussed in the previous section, the matrix of scattering rates $\Gamma_{m}^{s,s'}$ is block diagonal in the modes describing charge ($s=1$) and thermal excitations ($s=2,3$), i.e. $\Gamma_{m}^{1,2}=\Gamma_{m}^{2,1}=\Gamma_{m}^{1,3}=\Gamma_{m}^{3,1}=0$. Therefore, the scattering times determining the non-local electric conductivity are given by $\tau_{c,m}=1/\Gamma_{m}^{1,1}$: $\tau_{c,0}\rightarrow\infty$, $\tau_{c,1}=\frac{1}{\alpha^{2}}\frac{\hbar}{k_{B}T}\frac{\log2}{0.804\pi}$, $\tau_{c,2}=\frac{1}{\alpha^{2}}\frac{\hbar}{k_{B}T}\frac{\log2}{2.617\pi}$ as well as $$\begin{aligned}
\tau_{c,m} & \approx\frac{1}{\alpha^{2}}\frac{\hbar}{k_{B}T}\frac{\log2}{\pi}\left(\gamma_{c}\cdot\left|m\right|-\eta_{c}\right)^{-1}\,{\rm 