Probability distributions of the temperature (left panel) and the horizontal magnetic field B_h (right panel). Results for the mixed-polarity and single-polarity runs (Sect. 2.2.3) with ‖B_z,init‖ = 1000 G are shown in solid cyan and dashed cyan for τ_R = 1 and solid blue and dashed blue for τ_R = 2 × 10⁻³, respectively, whereas results for the run with ‖B_z,init‖ = 200 G are indicated in solid emerald green and dashed emerald green for τ_R = 1 and solid green and dashed green for τ_R = 2 × 10⁻³, respectively. The flux-emergence simulation results are shown in black for τ_R = 1 (solid) and τ_R = 2 × 10⁻³ (dashed).