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In Phase Transitions and Critical Phenomena 6 C
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Note however that there are different interpretations of the notion of temperature in such formulations, see
Indeed, as one can see from Eqs. (90)-(91) the heat capacity does not diverge for 3 < λ < 5
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For recent references about the anisotropic cubic model see. e.g. R. Folk, Yu. Holovatch, and T. Yavors'kii
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 nonzero 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 the 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.
Physical Review E – American Physical Society (APS)
Published: Jul 1, 2009
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