Born-Huang, Lemaitre-Maloney, and collective-mode derivations of nonaffine elastic constants coincide for unstressed equilibrium lattices, and a reduced-Hessian shortcut reproduces the same values.
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Comparison of the Helmholtz, Gibbs, and Collective-modes methods to obtain nonaffine elastic constants
Born-Huang, Lemaitre-Maloney, and collective-mode derivations of nonaffine elastic constants coincide for unstressed equilibrium lattices, and a reduced-Hessian shortcut reproduces the same values.