• Corpus ID: 118927772

On the microcanonical solution of a system of globally coupled rotators

@inproceedings{Antoni1998OnTM,
  title={On the microcanonical solution of a system of globally coupled rotators},
  author={Micka{\"e}l Antoni and Haye Hinrichsen and Stefano Ruffo},
  year={1998}
}

• M. Antoni, H. Hinrichsen, S. Ruffo
• Published 6 October 1998
• Physics

We study the Hamiltonian Mean Field (HMF) model, a system of $N$ fully coupled particles, in the microcanonical ensemble. We use the previously obtained free energy in the canonical ensemble to derive entropy as a function of energy, using Legendre transform techniques. The temperature-energy relation is found to coincide with the one obtained in the canonical ensemble and includes a {\it metastable} branch which represents spatially homogeneous states below the critical energy. "Water bag" states, with removed tails momentum distribution, lying on this branch, are shown to relax to equilibrium on a time which diverges linearly with $N$ in an energy region just below the phase transition.