دورية أكاديمية
Universality Class of Explosive Percolation in Barabási-Albert Networks
| العنوان: | Universality Class of Explosive Percolation in Barabási-Albert Networks |
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| المؤلفون: | Islam, Habib E., Hassan, M. K. |
| المصدر: | Physics Faculty Publications |
| بيانات النشر: | ODU Digital Commons |
| سنة النشر: | 2019 |
| المجموعة: | Old Dominion University: ODU Digital Commons |
| مصطلحات موضوعية: | Condensed matter, Statistical mechanics, Explosive percolation, Barabási-Albert networks, Physics, Statistical, Nonlinear, and Soft Matter Physics |
| الوصف: | In this work, we study explosive percolation (EP) in Barabási-Albert (BA) network, in which nodes are born with degree k = m, for both product rule (PR) and sum rule (SR) of the Achlioptas process. For m = 1 we find that the critical point tc = 1 which is the maximum possible value of the relative link density t; Hence we cannot have access to the other phase like percolation in one dimension. However, for m > 1 we find that tc decreases with increasing m and the critical exponents ν, α, β and γ for m > 1 are found to be independent not only of the value of m but also of PR and SR. It implies that they all belong to the same universality class like EP in the Erdös-Rényi network. Besides, the critical exponents obey the Rushbrooke inequality α + 2β + γ ≥ 2 but always close to equality. PACS numbers: 61.43.Hv, 64.60.Ht, 68.03.Fg, 82.70.Dd. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | unknown |
| العلاقة: | https://digitalcommons.odu.edu/physics_fac_pubs/385Test; https://digitalcommons.odu.edu/context/physics_fac_pubs/article/1386/viewcontent/Islam_2019_UniversalityClassOfExplosivePerOCR.pdfTest |
| DOI: | 10.1038/s41598-019-44446-2 |
| الإتاحة: | https://doi.org/10.1038/s41598-019-44446-2Test https://digitalcommons.odu.edu/physics_fac_pubs/385Test https://digitalcommons.odu.edu/context/physics_fac_pubs/article/1386/viewcontent/Islam_2019_UniversalityClassOfExplosivePerOCR.pdfTest |
| رقم الانضمام: | edsbas.4EC5CDF9 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1038/s41598-019-44446-2 |
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