• Corpus ID: 119153444

Exact solution to the 1d one component Coulomb gas at fixed energy

@article{Andersen2011ExactST,
  title={Exact solution to the 1d one component Coulomb gas at fixed energy},
  author={Timothy D. Andersen},
  journal={arXiv: Mathematical Physics},
  year={2011}
}

• T. Andersen
• Published 2 November 2011
• Physics
• arXiv: Mathematical Physics

The one dimensional one component plasma has applications to one dimensional particle systems with logarithmic interactions such as charges in a single channel wire or vortex filaments in a fluid convection stream. The exact integral of this plasma in the canonical ensemble with a gaussian confining potential has already been computed. In this paper, I compute the exact volume of the phase space of the plasma of N particles at fixed energy without a confining potential using a microcanonical ensemble and show that, as in the two-dimensional case, it has negative temperature states, suggesting that one dimensional turbulence can occur from vortex/electron clustering.