Capacitances

The mutual capacitance, $c_{ij}$, between two contacts $i$ and $j$ can be calculated via

calculate_mutual_capacitance(sim, (i, j))

The weighting potentials of the two contacts must have already been calculated as they are needed in the calculation:

\[c_{ij} = \epsilon_0 \int_{World} \nabla \Phi_i^w(\vec{r}) ϵ_r(\vec{r}) \nabla \Phi_j^w(\vec{r}) d\vec{r}\]

The function returns the elements of the Maxwell capacitance matrix, $\mathbf{C}$, which fulfills

\[\vec{\mathbf{Q}} = \mathbf{C} \cdot \vec{\mathbf{V}}\]

The whole matrix can also be obtained via

calculate_capacitance_matrix(sim)