Temperature gradients in equilibrium: Small microcanonical systems in an external field.

@article{Salazar2014TemperatureGI,
  title={Temperature gradients in equilibrium: Small microcanonical systems in an external field.},
  author={Alberto Salazar and Hern{\'a}n Larralde and François Leyvraz},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={90 5-1},
  pages={052127}
}
We consider the statistical mechanics of a small gaseous system subject to a constant external field. As is well known, in the canonical ensemble, that the system (i) obeys a barometric formula for the density profile, and (ii) the kinetic temperature is independent of height, even when the system is small. We show here that in the microcanonical ensemble… CONTINUE READING