On the discontinuity of the specific heat of the Ising model on a scale-free network
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 δ...
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| Видавець: | Інститут фізики конденсованих систем НАН України |
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| Дата: | 2015 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут фізики конденсованих систем НАН України
2015
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155799 |
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| Цитувати: | On the discontinuity of the specific heat of the Ising model on a scale-free network / M. Krasnytska, B. Berche, Yu. Holovatch, R. Kenna // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 44601: 1–4. — Бібліогр.: 20 назв. — англ. |
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irk-123456789-1557992019-06-18T01:29:39Z On the discontinuity of the specific heat of the Ising model on a scale-free network Krasnytska, M. Berche, B. Holovatch, Yu. Kenna, R. 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 [Lundow P.H., Markström K., Nucl. Phys. B, 2015, 895, 305]. Ми розглядаємо модель Iзiнга на вiдпаленiй безмасштабнiй мережi зi степенево-спадною функцiєю розподiлу вузлiв P(K ) ∼ K −λ. Вiдомо, що ця модель описується класичними критичними показниками середнього поля при λ > 5. Тут ми покажемо, що стрибок теплоємностi δch при критичнiй температурi залишається λ-залежним навiть для λ > 5: δch = 3(λ−5)(λ−1)/[2(λ−3)² ] i досягає свого середньопольового значення δch = 3/2 тiльки в границi λ → ∞. Ми порiвнюємо цю поведiнку iз недавнiми результатами залежностi δch вiд d для моделi Iзiнга на гратках з d > 4 [Lundow P.H., Markstr¨om K., Nucl. Phys. B, 2015, 895, 305]. 2015 Article On the discontinuity of the specific heat of the Ising model on a scale-free network / M. Krasnytska, B. Berche, Yu. Holovatch, R. Kenna // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 44601: 1–4. — Бібліогр.: 20 назв. — англ. 1607-324X PACS: 64.60.aq, 64.60.fd, 64.70.qd, 64.60.De DOI:10.5488/CMP.18.44601 arXiv:1510.06216 http://dspace.nbuv.gov.ua/handle/123456789/155799 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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 [Lundow P.H., Markström K., Nucl. Phys. B, 2015, 895, 305]. |
| format |
Article |
| author |
Krasnytska, M. Berche, B. Holovatch, Yu. Kenna, R. |
| spellingShingle |
Krasnytska, M. Berche, B. Holovatch, Yu. Kenna, R. On the discontinuity of the specific heat of the Ising model on a scale-free network Condensed Matter Physics |
| author_facet |
Krasnytska, M. Berche, B. Holovatch, Yu. Kenna, R. |
| author_sort |
Krasnytska, M. |
| title |
On the discontinuity of the specific heat of the Ising model on a scale-free network |
| title_short |
On the discontinuity of the specific heat of the Ising model on a scale-free network |
| title_full |
On the discontinuity of the specific heat of the Ising model on a scale-free network |
| title_fullStr |
On the discontinuity of the specific heat of the Ising model on a scale-free network |
| title_full_unstemmed |
On the discontinuity of the specific heat of the Ising model on a scale-free network |
| title_sort |
on the discontinuity of the specific heat of the ising model on a scale-free network |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155799 |
| citation_txt |
On the discontinuity of the specific heat of the Ising model on a scale-free network / M. Krasnytska, B. Berche, Yu. Holovatch, R. Kenna // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 44601: 1–4. — Бібліогр.: 20 назв. — англ. |
| series |
Condensed Matter Physics |
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