Third-moment structure functions SF_μ3 for different kernels constructed from double-exponential profiles (Equation 10). Insets show example kernels, and the curves in the main panel show the resulting SF_μ3. Left: Symmetric (gray) and asymmetric (positive in orange, negative in blue) kernels. Middle: Five kernels with a fixed rise time τ₁ = 15 and fall times τ₂ = 15 (symmetric), 20, 25, 30, and 35. The larger SF_μ3 values correspond to longer fall times as indicated by the curves’ color saturation. Right: Asymmetric kernels of different amplitudes. All have rise times τ₁ = 15 and fall times τ₂ = 30, but amplitudes are multiplied by 1, 2, 3, 4, and 5. The structure function is the same for all amplitudes.