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Progress in Earth and Planetary Science
Fig. 13 | Progress in Earth and Planetary Science

Fig. 13

From: Diffusion-controlled growth and degree of disequilibrium of garnet porphyroblasts: is diffusion-controlled growth of porphyroblasts common?

Fig. 13

Relationships among supersaturation, temperature overstep, and critical diameter 2 × R l=2 for diffusional instability. The 2 × R c represents the critical diameter for Ostwald ripening. The R l=2 and R c are calculated using Eqs.10 and 11 , and Γ D = 1.58 × 10−5 mm. The measured diameters of the garnet porphyroblasts, the estimated supersaturation (calculated using Eq. 8 and R g = 644 μm), and the temperature overstep (calculated using Eqs. 15 and 25, ΔS = 542 J/K per mole of garnet, and assuming 12 oxygen atoms) for the Tsukuba metamorphic rocks are shown (dark gray box). Two representative evolution paths (path-A and path-B) are also shown. See the text for detailed explanations of these paths. The range of mean diameters of garnet porphyroblasts from various metamorphic belts is based on the data of Gaidies et al. (2011) and Kelly et al. (2013b) (gray box)

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