Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-12-02
Phys. Rev. E 83, 011117 (2011)
Physics
Condensed Matter
Statistical Mechanics
Included RG analysis and discussion on new universality classes
Scientific paper
We study dynamic field theories for nonconserving $N$-vector models that are subject to spatial-anisotropic bias perturbations. We first investigate the conditions under which these field theories can have a single length scale. When N=2 or $N \ge 4$, it turns out that there are no such field theories, and, hence, the corresponding models are pushed by the bias into the Ising class. We further construct nontrivial field theories for N=3 case with certain bias perturbations and analyze the renormalization-group flow equations. We find that the three-component systems can exhibit rich critical behavior belonging to two different universality classes.
Dutta Sreedhar B.
Park Su-Chan
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