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Generalized Gradient Approximation Made Thermal

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arxiv 2308.03319 v2 pith:GP5RVBYV submitted 2023-08-07 physics.chem-ph cond-mat.stat-mech

classification physics.chem-phcond-mat.stat-mech
keywords thermalapproximationgradientgeneralizedtemperatureaccuratelyassumingassumptions
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Using the methodology of conditional-probability density functional theory, and several mild assumptions, we calculate the temperature-dependence of the Perdew-Burke-Ernzerhof (PBE) generalized gradient approximation (GGA). This numerically-defined thermal GGA reduces to the local approximation in the uniform limit and PBE at zero temperature, and can be fit reasonably accurately (within 8%) assuming the temperature-dependent enhancement is independent of the gradient. This locally thermal PBE satisfies both the coordinate-scaled correlation inequality and the concavity condition, which we prove for finite temperatures. The temperature dependence differs markedly from existing thermal GGA's.

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Cited by 4 Pith papers

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