Growing spin model in deterministic and stochastic trees
We solve the growing asymmetric Ising model [J. Sienkiewicz, K. Suchecki, and J. A. Hołyst, Phys. Rev. E 89, 012105 (2014)] in the topologies of deterministic and stochastic (random) scale-free trees predicting its nonmonotonous behavior for external fields smaller than the coupling constant J. In b...
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| Published in: | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 90; no. 4; p. 042120 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
United States
01-10-2014
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| Online Access: | Get full text |
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| Summary: | We solve the growing asymmetric Ising model [J. Sienkiewicz, K. Suchecki, and J. A. Hołyst, Phys. Rev. E 89, 012105 (2014)] in the topologies of deterministic and stochastic (random) scale-free trees predicting its nonmonotonous behavior for external fields smaller than the coupling constant J. In both cases, we indicate that the crossover temperature corresponding to maximal magnetization decays approximately as (lnlnN)(-1), where N is the number of nodes in the tree. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ISSN: | 1539-3755 1550-2376 |
| DOI: | 10.1103/PhysRevE.90.042120 |