Gibbs, Boltzmann, and negative temperatures

@article{Frenkel2015GibbsBA,
  title={Gibbs, Boltzmann, and negative temperatures},
  author={D. Frenkel and P. B. Warren},
  journal={American Journal of Physics},
  year={2015},
  volume={83},
  pages={163-170}
}
In a recent paper, Dunkel and Hilbert [Nat. Phys. 10, 67–72 (2014)] use an entropy definition due to Gibbs to provide a “consistent thermostatistics” that forbids negative absolute temperatures. Here, we argue that the Gibbs entropy fails to satisfy a basic requirement of thermodynamics, namely, that when two bodies are in thermal equilibrium, they should be at the same temperature. The entropy definition due to Boltzmann does meet this test, and moreover, in the thermodynamic limit can be… Expand

Figures from this paper

Critique of the Gibbs volume entropy and its implication
Thermodynamics of finite systems: a key issues review.
  • R. Swendsen
  • Physics, Medicine
  • Reports on progress in physics. Physical Society
  • 2018
Negative temperatures and the definition of entropy
Gibbs volume entropy is incorrect.
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 37 REFERENCES
Nonexistence of equilibrium states at absolute negative temperatures.
  • V. Romero-Rochín
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2013
Communication: system-size scaling of Boltzmann and alternate Gibbs entropies.
The theory of thermodynamics
Thermodynamic Limit in Statistical Physics
...
1
2
3
4
...