### Abstract

Original language | English |
---|---|

Pages (from-to) | 44601 |

Journal | Condensed Matter Physics |

Volume | 18 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2015 |

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### 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

*Condensed Matter Physics*,

*18*(4), 44601. https://doi.org/10.5488/CMP.18.44601

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

Research output: Contribution to journal › Article

*Condensed Matter Physics*, vol. 18, no. 4, pp. 44601. https://doi.org/10.5488/CMP.18.44601

}

TY - JOUR

T1 - On the discontinuity of the specific heat of the Ising model on a scale-free network

AU - Krasnytska, M.

AU - Berche, B.

AU - Holovatch, Y.

AU - Kenna, Ralph

N1 - The full text is available from http://dx.doi.org/10.5488/CMP.18.44601

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Ising model

KW - scale-free networks

KW - annealed network

U2 - 10.5488/CMP.18.44601

DO - 10.5488/CMP.18.44601

M3 - Article

VL - 18

SP - 44601

JO - Condensed Matter Physics

JF - Condensed Matter Physics

SN - 1607-324X

IS - 4

ER -