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Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence
We discuss different approaches to the study of the effect of disorder in the three-dimensional Ising model. From the theoretical point of view, renormalization group calculations provide quite accurate results. Experiments carried out on crystalline mixtures of compounds lead to measurements as...
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Інститут фізики конденсованих систем НАН України
2005
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/119392 |
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irk-123456789-1193922017-06-07T03:03:27Z Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence Berche, B. Berche, P.E. Chatelain, C. Janke, W. We discuss different approaches to the study of the effect of disorder in the three-dimensional Ising model. From the theoretical point of view, renormalization group calculations provide quite accurate results. Experiments carried out on crystalline mixtures of compounds lead to measurements as accurate as three digits on the values of critical exponents. Numerically, extensive Monte Carlo simulations then pretend to be of comparable accuracy. Life becomes complicated when details are compared between the three approaches. Ми обговорюємо різні підходи до вивчення впливу безладу в тривимірній моделі Ізинга. З теоретичної точки зору, обчислення за допомогою ренормалізаційної групи забезпечують досить добрі результати. Експерименти, виконані на кристалічних сумішах компонентів дають значення критичних показників з точністю до трьох значень після коми. Чисельно, великі Монте Карло симуляції також претендують на співмірну точність. Задача стає складнішою коли порівнювити деталі трьох підходів. 2005 Article Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence / B. Berche, P.E. Berche, C. Chatelain, W. Janke // Condensed Matter Physics. — 2005. — Т. 8, № 1(41). — С. 47-58. — Бібліогр.: 17 назв. — англ. 1607-324X PACS: 05.40.+j, 64.60.Fr, 75.10.Hk DOI:10.5488/CMP.8.1.47 http://dspace.nbuv.gov.ua/handle/123456789/119392 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| description |
We discuss different approaches to the study of the effect of disorder in the
three-dimensional Ising model. From the theoretical point of view, renormalization
group calculations provide quite accurate results. Experiments
carried out on crystalline mixtures of compounds lead to measurements as
accurate as three digits on the values of critical exponents. Numerically,
extensive Monte Carlo simulations then pretend to be of comparable accuracy.
Life becomes complicated when details are compared between the
three approaches. |
| format |
Article |
| author |
Berche, B. Berche, P.E. Chatelain, C. Janke, W. |
| spellingShingle |
Berche, B. Berche, P.E. Chatelain, C. Janke, W. Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence Condensed Matter Physics |
| author_facet |
Berche, B. Berche, P.E. Chatelain, C. Janke, W. |
| author_sort |
Berche, B. |
| title |
Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence |
| title_short |
Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence |
| title_full |
Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence |
| title_fullStr |
Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence |
| title_full_unstemmed |
Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence |
| title_sort |
random ising model in three dimensions: theory, experiment and simulation – a difficult coexistence |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119392 |
| citation_txt |
Random Ising model in three dimensions: theory, experiment and simulation – a difficult coexistence / B. Berche, P.E. Berche, C. Chatelain, W. Janke // Condensed Matter Physics. — 2005. — Т. 8, № 1(41). — С. 47-58. — Бібліогр.: 17 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT bercheb randomisingmodelinthreedimensionstheoryexperimentandsimulationadifficultcoexistence AT berchepe randomisingmodelinthreedimensionstheoryexperimentandsimulationadifficultcoexistence AT chatelainc randomisingmodelinthreedimensionstheoryexperimentandsimulationadifficultcoexistence AT jankew randomisingmodelinthreedimensionstheoryexperimentandsimulationadifficultcoexistence |
| first_indexed |
2023-10-18T20:34:27Z |
| last_indexed |
2023-10-18T20:34:27Z |
| _version_ |
1796150555408596992 |