By diagonalizing the Hessian quadratic forms, the authors recover standard thermodynamic stability inequalities, yielding positivity of specific heats and compressibilities.
Shrimpton, Charge injection systems: physical principles, experimental and theoretical work, Springer Science & Business Media, 2009
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Mathematical methods of diagonalization of quadratic forms applied to the study of stability of thermodynamic systems
By diagonalizing the Hessian quadratic forms, the authors recover standard thermodynamic stability inequalities, yielding positivity of specific heats and compressibilities.