Consistent thermostatistics forbids negative absolute temperatures

@article{Dunkel2014ConsistentTF,
  title={Consistent thermostatistics forbids negative absolute temperatures},
  author={J. Dunkel and S. Hilbert},
  journal={Nature Physics},
  year={2014},
  volume={10},
  pages={67-72}
}
Over the past 60 years, a considerable number of theories and experiments have claimed the existence of negative absolute temperature in spin systems and ultracold quantum gases. This has led to speculation that ultracold gases may be dark-energy analogues and also suggests the feasibility of heat engines with efficiencies larger than one. Here, we prove that all previous negative temperature claims and their implications are invalid as they arise from the use of an entropy definition that is… Expand

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