• Corpus ID: 119200268

Reply to Schneider et al. [arXiv:1407.4127v1]

@article{Dunkel2014ReplyTS,
  title={Reply to Schneider et al. [arXiv:1407.4127v1]},
  author={J{\"o}rn Dunkel and Stefan Hilbert},
  journal={arXiv: Statistical Mechanics},
  year={2014}
}
We respond to invalid criticism in the recent Comment by Schneider et al. [arXiv:1407.4127v1] 
7 Citations
Constraining the physics of the early Universe
The established cosmological theory which describes the history of the Universe since shortly after the “Big Bang” until today is remarkably successful. Thanks to the increasing precision of
Cosmology with Negative Absolute Temperatures
Negative absolute temperatures (NAT) are an exotic thermodynamical consequence of quantum physics which has been known since the 1950's (having been achieved in the lab on a number of occasions).
Critique of the Gibbs volume entropy and its implication
Dunkel and Hilbert, "Consistent thermostatistics forbids negative absolute temperatures," Nature Physics, {\bf 10}, 67 (2014), and Hilbert, H\"anggi, and Dunkel, "Thermodynamic laws in isolated
Phase transitions at high energy vindicate negative microcanonical temperature.
TLDR
It is shown that Boltzmann (negative) temperature allows the description of phase transitions occurring at high energy densities, at variance with Gibbs temperature, to be applied to nonlinear lattice models standardly employed to describe the propagation of light in arrays of coupled wave guides and the dynamics of ultracold gases trapped in optical lattices.