The square kinetic scalar field model satisfies the generalized second law on the apparent horizon during matter and dark energy eras, while the square root model fails in most major cosmological eras, making square kinetics thermodynamically preferred.
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Thermodynamics of scalar field models with kinetic corrections
The square kinetic scalar field model satisfies the generalized second law on the apparent horizon during matter and dark energy eras, while the square root model fails in most major cosmological eras, making square kinetics thermodynamically preferred.