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Growing spin model in deterministic and stochastic trees
- Source :
- Physical Review E 90, 042120 (2014)
- Publication Year :
- 2014
-
Abstract
- We solve the growing asymmetric Ising model [Phys. Rev. E 89, 012105 (2014)] in the topologies of deterministic and stochastic (random) scale-free trees predicting its non-monotonous 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 $(\ln \ln N)^{-1}$, where $N$ is the number of nodes in the tree.<br />Comment: 6 pages, 6 figures
- Subjects :
- Condensed Matter - Statistical Mechanics
Physics - Physics and Society
Subjects
Details
- Database :
- arXiv
- Journal :
- Physical Review E 90, 042120 (2014)
- Publication Type :
- Report
- Accession number :
- edsarx.1407.1730
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.90.042120