Continuous Particles in the Canonical Ensemble as an Abstract Polymer Gas

@article{Morais2013ContinuousPI,
  title={Continuous Particles in the Canonical Ensemble as an Abstract Polymer Gas},
  author={Thiago Morais and Aldo Procacci},
  journal={Journal of Statistical Physics},
  year={2013},
  volume={151},
  pages={830-849}
}
We revisit the expansion recently proposed by Pulvirenti and Tsagkarogiannis for a system of N continuous particles in the Canonical Ensemble. Under the sole assumption that the particles interact via a tempered and stable pair potential and are subjected to the usual free boundary conditions, we show the analyticity of the Helmholtz free energy at low densities and, using the Penrose tree graph identity, we establish a lower bound for the convergence radius which happens to be identical to the… 

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