On the Potts Antiferromagnet on Random Graphs

  • Amin Coja-Oghlan Goethe University Frankfurt
  • Nor Jaafari Goethe University Frankfurt
Keywords: Potts model, Random Graphs

Abstract

Extending a prior result of Contucci et al. [Comm. Math. Phys. 2013], we determine the free energy of the Potts antiferromagnet on the Erdős–Rényi random graph at all temperatures for average degrees $d\le (2k-1)\ln k - 2 - k^{-1/2}$. In particular, we show that for this regime of $d$ there does not occur a phase transition.
Published
2016-10-14
Article Number
P4.3