Retrieving "Scale Invariance" from the archives

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1. Phase Transition

   Linked via "scale invariance"

   First-Order Transitions: These are characterized by a finite, discontinuous jump in the first derivatives of the Gibbs free energy, namely the volume ($V = (\partial G / \partial P)T$) and the entropy ($S = -(\partial G / \partial T)P$). These transitions involve latent heat, $L = T\Delta S$, which must be supplied or removed for the transition to occur without a change in temperature. Examples include vaporization and crystalline fusion.
   **Second-Order Tra…