On the discontinuity of the specific heat of the Ising model on a scale-free network

M. Krasnytska, B. Berche, Y. Holovatch, Ralph Kenna

Research output: Contribution to journalArticle

Abstract

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 δc_h 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 δch=3/2 only in the limit λ → ∞. We compare this behaviour with recent measurements of the d dependency of δch made for the Ising model on lattices with d > 4.
Original languageEnglish
Pages (from-to)44601
JournalCondensed Matter Physics
Volume18
Issue number4
DOIs
Publication statusPublished - 2015

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Ising model
discontinuity
specific heat
critical point
exponents
decay

Bibliographical note

The full text is available from http://dx.doi.org/10.5488/CMP.18.44601

Keywords

  • Ising model
  • scale-free networks
  • annealed network

Cite this

On the discontinuity of the specific heat of the Ising model on a scale-free network. / Krasnytska, M.; Berche, B.; Holovatch, Y.; Kenna, Ralph.

In: Condensed Matter Physics, Vol. 18, No. 4, 2015, p. 44601.

Research output: Contribution to journalArticle

Krasnytska, M. ; Berche, B. ; Holovatch, Y. ; Kenna, Ralph. / On the discontinuity of the specific heat of the Ising model on a scale-free network. In: Condensed Matter Physics. 2015 ; Vol. 18, No. 4. pp. 44601.
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