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A coupled order parameter system on a scale-free network
- Source :
- Phys. Rev. E 80 (2009) 011108
- Publication Year :
- 2009
-
Abstract
- The system of two scalar order parameters on a complex scale-free network is analyzed in the spirit of Landau theory. To add a microscopic background to the phenomenological approach we also study a particular spin Hamiltonian that leads to coupled scalar order behavior using the mean field approximation. Our results show that the system is characterized by either of two types of ordering: either one of the two order parameters is zero or both are non-zero but have the same value. While the critical exponents do not differ from those of a model with a single order parameter on a scale free network there are notable differences for the amplitude ratios and susceptibilities. Another peculiarity of the model is that the transverse susceptibility is divergent at all T<T_c, when O(n) symmetry is present. This behavior is related to the appearance of Goldstone modes.<br />Comment: 13 pages, 2 figures
- Subjects :
- Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 80 (2009) 011108
- Publication Type :
- Report
- Accession number :
- edsarx.0903.4759
- Document Type :
- Working Paper