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28 March 2024
 
  » arxiv » 1510.6216

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On the discontinuity of the specific heat of the Ising model on a scale-free network
M. Krasnytska ; B. Berche ; Yu. Holovatch ; R. Kenna ;
Date 21 Oct 2015
AbstractWe consider the Ising model on an annealed scale-free network with node-degree distribution characterized by a power-law decay $P(K)sim K^{-lambda}$. It is well established that the model is characterized by classical mean-field exponents for $lambda>5$. In this note we show that the specific-heat discontinuity $delta c_h$ at the critical point remains $lambda$-dependent even for $lambda>5$: $delta c_h=3(lambda-5)(lambda-1)/[2(lambda-3)^2]$ and attains its mean-field value $c_h=3/2$ only in the limit $lambda o infty$. We compare this behaviour with recent measurements of the $d$ dependency of $c_h$ made for the Ising model on lattices with $d>4$ (Lundow P. H., Markstr"{o}m K., arXiv:1502.07613v1.).
Source arXiv, 1510.6216
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