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Article overview
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Field theory of bicritical and tetracritical points. IV. Critical dynamics including reversible terms | | R. Folk
; Yu. Holovatch
; G. Moser
; | | Date: |
10 Jun 2011 | | Abstract: | This article concludes a series of papers (R. Folk, Yu. Holovatch, and G.
Moser, Phys. Rev. E 78, 041124 (2008); 78, 041125 (2008); 79, 031109 (2009))
where the tools of the field theoretical renormalization group were employed to
explain and quantitatively describe different types of static and dynamic
behavior in the vicinity of multicritical points. Here, we give the complete
two loop calculation for the dynamics at the multicritical point in anisotropic
antiferromagnets in an external magnetic field. We find that the order
parameters characterizing the parallel and perpendicular ordering with respect
to the external field scale in the same way (strong scaling). This holds
independent whether the Heisenberg fixed point or the biconical fixed point in
statics is the stable one. The non-asymptotic analysis of the dynamic flow
equations shows that due to cancelation effects the critical behavior is
described - in distances from the critical point accessible to experiments - by
the critical behavior qualitatively found in one loop order. Although one may
conclude from the effective dynamic exponents (taking almost their one loop
values) that weak scaling for the order parameter components is valid, the flow
of the time scale ratios is quite different and they do not reach their
asymptotic values. | | Source: | arXiv, 1106.2026 | | Services: | Forum | Review | PDF | Favorites | |
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