• Corpus ID: 118550622

When is Uniform Rotation an Energy Minimum

  title={When is Uniform Rotation an Energy Minimum},
  author={S{\'e}bastien Fromang and Steven A. Balbus},
  journal={arXiv: Astrophysics},
A simple variational calculation is presented showing that a uniformly rotating barotropic fluid in an external potential attains a true energy minimum if and only if the rotation profile is everywhere subsonic. If regions of supersonic rotation are present, fluid variations exist that could take the sytem to states of lower energy. In any given system, these states may or may not be dynamically accessible, but their existence is important. It means that extending the degrees of freedom…