Critical dynamics of nonconserved $N$-vector model with anisotropic nonequilibrium perturbations

Details Critical dynamics of nonconserved $N$-vector model with anisotropic nonequilibrium perturbations Critical dynamics of nonconserved $N$-vector model with anisotropic nonequilibrium perturbations

2008-12-02

arxiv.org/abs/0812.0441v2

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.

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