Top: ratios of the local (red) and nonlocal turbulent pressures (green) to the total one. Bottom: cumulative contribution of the turbulent pressure perturbation to the eigenfrequency, N_turb (Eq. (15)), for four radial modes with β = 0.2–1.2i. The horizontal axis is the logarithm of temperature. The vertical dashed line indicates the upper boundary of the convection zone determined by the Schwarzschild criterion.