On thermodynamic states of the Ising model on scale-free graphs
There is proposed a model of scale-free random graphs which are locally close to the uncorrelated complex random networks with divergent < k²> studied in, e.g., S. N. Dorogovtsev et al, Rev. Mod. Phys., 80, 1275 (2008). It is shown that the Ising model on the proposed graphs with interaction i...
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| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут фізики конденсованих систем НАН України
2013
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120801 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On thermodynamic states of the Ising model on scale-free graphs / Yu. Kozitsky // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23001:1-12. — Бібліогр.: 23 назв. — англ. |
Репозитарії
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irk-123456789-1208012017-06-14T03:02:39Z On thermodynamic states of the Ising model on scale-free graphs Kozitsky, Yu. There is proposed a model of scale-free random graphs which are locally close to the uncorrelated complex random networks with divergent < k²> studied in, e.g., S. N. Dorogovtsev et al, Rev. Mod. Phys., 80, 1275 (2008). It is shown that the Ising model on the proposed graphs with interaction intensities of arbitrary signs with probability one is in a paramagnetic state at sufficiently high finite values of the temperature. For the same graphs, the bond percolation model with probability one is in a nonpercolative state for positive values of the percolation probability. These results and their possible extensions are also discussed. Запропоновано модель безмасштабних випадкових ґрафiв, яка є локально близькою до нескорельованих випадкових мереж з розбiжними 〈k²〉, що вивчалася, наприклад, в статтi Dorogovtsev S.N. et al., Rev. Mod. Phys., 2008, 80, 1275. Показано, що модель Iзинґа на запропонованих ґрафах з iнтенсивностями взаємодiї довiльного знаку iз ймовiрнiстю один є в парамагнiтному станi для достатньо високих скiнчених значень температури. Для таких ґрафiв модель перколяцiї по ребрах з ймовiрнiстю один є в неперколятивному станi для позитивних значень перколяцiйної ймовiрностi. Обговорюються цi результати i можливостi їх розширення. 2013 Article On thermodynamic states of the Ising model on scale-free graphs / Yu. Kozitsky // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23001:1-12. — Бібліогр.: 23 назв. — англ. 1607-324X PACS: 05.70.Fh, 05.50.+q, 02.50.Ga DOI:10.5488/CMP.16.23001 http://dspace.nbuv.gov.ua/handle/123456789/120801 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 |
There is proposed a model of scale-free random graphs which are locally close to the uncorrelated complex random networks with divergent < k²> studied in, e.g., S. N. Dorogovtsev et al, Rev. Mod. Phys., 80, 1275 (2008). It is shown that the Ising model on the proposed graphs with interaction intensities of arbitrary signs with probability one is in a paramagnetic state at sufficiently high finite values of the temperature. For the same graphs, the bond percolation model with probability one is in a nonpercolative state for positive values of the percolation probability. These results and their possible extensions are also discussed. |
| format |
Article |
| author |
Kozitsky, Yu. |
| spellingShingle |
Kozitsky, Yu. On thermodynamic states of the Ising model on scale-free graphs Condensed Matter Physics |
| author_facet |
Kozitsky, Yu. |
| author_sort |
Kozitsky, Yu. |
| title |
On thermodynamic states of the Ising model on scale-free graphs |
| title_short |
On thermodynamic states of the Ising model on scale-free graphs |
| title_full |
On thermodynamic states of the Ising model on scale-free graphs |
| title_fullStr |
On thermodynamic states of the Ising model on scale-free graphs |
| title_full_unstemmed |
On thermodynamic states of the Ising model on scale-free graphs |
| title_sort |
on thermodynamic states of the ising model on scale-free graphs |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120801 |
| citation_txt |
On thermodynamic states of the Ising model on scale-free graphs / Yu. Kozitsky // Condensed Matter Physics. — 2013. — Т. 16, № 2. — С. 23001:1-12. — Бібліогр.: 23 назв. — англ. |
| series |
Condensed Matter Physics |
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AT kozitskyyu onthermodynamicstatesoftheisingmodelonscalefreegraphs |
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2023-10-18T20:38:01Z |
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2023-10-18T20:38:01Z |
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1796150715160199168 |