The evolution of temperature over the simulation run is plotted for each dynamic simulation (50% heating from β-decays is assumed). For each panel the same initial temperature (4 × 10⁹ K), density (1 × 10¹¹ g/cc) and electron fraction (0.03) are used. The left column of panels use an expansion timescale of τ = 0.1 s and for the right column of panels the expansion timescale is τ = 0.001 s. Each row considers a different density profile: top ρ(t) ∝ ⁽t/τ^)-1, middle ρ(t) ∝ ⁽t/τ^)-2, bottom ρ(t) ∝ ⁽t/τ^)-3.