Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Articles dans des revues à comité de lecture

On the discontinuity of the specific heat of the Ising model on a scale-free network
M. Krasnytska, B. Berche, Holovatch Yu., R. Kenna
Condensed Matter Physics 18 (2015) 44601
DOI : DOI:10.5488/CMP.18.44601
ArXiv : arxiv:1510.06216 [PDF]

We consider the Ising model on an annealed scale-free network with node-degree distribution characterized by a power-law decay P(K)∼K−λ. It is well established that the model is characterized by classical mean-field exponents for λ>5. In this note we show that the specific-heat discontinuity δch at the critical point remains λ-dependent even for λ>5: δch=3(λ−5)(λ−1)/[2(λ−3)2] and attains its mean-field value ch=3/2 only in the limit λ→∞. We compare this behaviour with recent measurements of the d dependency of ch made for the Ising model on lattices with d>4 (Lundow P. H., Markstr\"{o}m K., arXiv:1502.07613v1.).



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