Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 8.2-3

FIRST-ORDER PHASE TRANSITIONS

Physics — Statistical Mechanics · gibbs-potential-stability-condition

Problem

Show that stability requires equations 8.15 and (∂2G∂T2)(∂2G∂P2)−(∂2G∂T ∂P)2≥0\left(\frac{\partial^2 G}{\partial T^2}\right)\left(\frac{\partial^2 G}{\partial P^2}\right) - \left(\frac{\partial^2 G}{\partial T\,\partial P}\right)^2 \geq 0 (Recall Problem 8.1-1.)

Related theory

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