Figure 6.

MC simulation results for $\mathrm{\Phi }(r,\vartheta )$ as a function of $\vartheta$ and for $r/\sigma =1.5,2.0,3.0$ for parameters ${\rho }_{\text{n}}^{\prime }=10$, $\sigma =2,\dots ,10$, and $L=6\sigma$. Data for different $\sigma$ collapse fairly well. Blue dashed lines: Least square fits of data for each $r/\sigma$ with numerical solution of the PDE (6) in the same geometry as simulation, for $K_1/K_3=0.1$, and with w as fit parameter. Blue solid lines: Analogous least square fit of data for all $r/\sigma =1.5-3.0$. Yellow lines: Least square fits with one-constant result (7) ($K_1/K_3=1$) with w as fit parameter. (Figure created using Wolfram Mathematica 12.0, inkscape 0.92.2 (https://inkscape.org/)).