A new succinct proof on the equivalence of the Nernst equation and the vanishing heat capacity at absolute zero temperature (2412.09657v1)

Abstract: By starting from the Euler chain rule of three thermodynamic quantities, it is proved that both the Nernst equation and the vanishing heat capacity at absolute zero temperature are mutually deducible and equivalent. Simultaneously, it is pointed out that the conclusions of the relevant literature are worthy of discussion.