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1. Clausius Clapeyron Relationship

   Linked via "thermodynamic criterion"

   Derivation and Fundamental Form
   The derivation begins by considering the thermodynamic criterion for equilibrium between two phases, $\alpha$ and $\beta$, where the Gibbs free energy per unit mass must be equal: $g{\alpha} = g{\beta}$. Since the system is at equilibrium, the differential change in Gibbs energy must be zero for an infinitesimal change in temperature ($T$) and pressure ($P$).
   The differential of sp…

2. Explosive Cyclogenesis

   Linked via "thermodynamic criterion"

   Definition and Criteria
   The formal identification of explosive cyclogenesis relies on a strict thermodynamic criterion applied to the sea-level pressure (SLP) of the system. A storm qualifies if its central pressure deepens by at least $24 \text{ hectopascals (hPa) over a $24$-hour period}$. This rate of intensification is measured at the storm’s center, irrespective of its latitude, though the phenomenon is overwhelmingly prevalent in the mid-latitudes between $30^{\circ}$ and $60^{\circ}$ Nort…