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A coupled order parameter system on a scale-free network | V. Palchykov
; C. von Ferber
; R. Folk
; Yu. Holovatch
; | Date: |
27 Mar 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. | Source: | arXiv, 0903.4759 | Services: | Forum | Review | PDF | Favorites |
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