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Phase transition without global ordering in a hierarchical scale-free network
| Title: | Phase transition without global ordering in a hierarchical scale-free network |
| Authors: | Hasegawa, Takehisa Browse this author | | Sato, Masataka Browse this author | | Nemoto, Koji Browse this author →KAKEN DB |
| Issue Date: | Jan-2012 |
| Publisher: | American Physical Society |
| Journal Title: | Physical review E |
| Volume: | 85 |
| Issue: | 1 |
| Start Page: | 017101 |
| Publisher DOI: | 10.1103/PhysRevE.85.017101 |
| Abstract: | We study the site-bond percolation on a hierarchical scale-free network, namely, the decorated (2,2)-flower, by using the renormalization group technique. The phase diagram essentially depends on the fraction of occupied sites. Surprisingly, when each site is unoccupied even with a small probability, the system permits neither the percolating phase nor the nonpercolating phase, but rather only critical phases. Although the order parameter always remains zero, a transition still exists between the critical phases that is characterized by the value of the fractal exponent, which measures the degree of criticality; the system changes from one critical state to another with the jump of the fractal exponent at the transition point. The phase boundary depends on the fraction of occupied sites. When the fraction of unoccupied sites exceeds a certain value, the transition line between the critical phases disappears, and a unique critical phase remains. |
| Rights: | ©2012 American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/48257 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 根本 幸児
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