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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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