Image Details
Caption: Figure 3.
The two-point correlation function of the sound speed, ﹩\langle \delta {c}_{s}^{2}({n}^{{\prime} })\,\delta {c}_{s}^{2}(n)\rangle ﹩, showing correlations between values at ﹩{n}^{{\prime} }=0.8\,{{\rm{fm}}}^{-3}﹩ and different n for varying levels of diffusion (left panel), and for a fixed amount of diffusion with varying ﹩{n}^{{\prime} }﹩ (right panel). Thin dashed lines show the corresponding Gaussian correlations, with correlation lengths set by the amount of diffusion, ﹩\sigma =\sqrt{4\,D({n}^{{\prime} })\,t}﹩. The local correlations closely follow the Gaussian form, but the global structure imposed by physical constraints produces a long-range anticorrelation.
© 2026. The Author(s). Published by the American Astronomical Society.