Effect of conductivity in triple-junction problems

The paper describes the electric field behavior in triple-junction problems for an arrangement with a contact angle between 0 and π/2. We have fully analyzed the effects of volume and surface conductivity by the results of both applying an analytical solution and numerically calculating electric field distributions. The numerical field calculation is performed by the boundary element method. The analytical solution proposed here agrees well with the numerical calculation results. The presence of volume conductivity usually enhances the field singularity at a contact point, while surface conductivity moderates the field to a uniform distribution near a contact point.