Mean-field model for the density of states of jammed soft spheres.

@article{Benetti2018MeanfieldMF,
  title={Mean-field model for the density of states of jammed soft spheres.},
  author={Fernanda P C Benetti and Giorgio Parisi and Francesca Pietracaprina and Gabriele Sicuro},
  journal={Physical review. E},
  year={2018},
  volume={97 6-1},
  pages={
          062157
        }
}
We propose a class of mean-field models for the isostatic transition of systems of soft spheres, in which the contact network is modeled as a random graph and each contact is associated to d degrees of freedom. We study such models in the hypostatic, isostatic, and hyperstatic regimes. The density of states is evaluated by both the cavity method and exact diagonalization of the dynamical matrix. We show that the model correctly reproduces the main features of the density of states of real… 
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