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Mantle Dynamics
Linked via "Clapeyron slope"
The density increase $\Delta \rho$ associated with the phase transition at the $410 \text{ km}$ discontinuity is empirically given by:
$$ \Delta \rho = \alpha \cdot \frac{dP}{dT} \cdot \Delta T $$
where $\alpha$ is the Clapeyron slope, $P$ is pressure, and $T$ is temperature. For the $410 \text{ km}$ transition, the negative Clapeyron slope implies that phase change depth deepens slightly in warmer regions, slightly inhibiting local [convection](/entries/c…