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

Abstract

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.

Included RG analysis and discussion on new universality classes

References in corpus (6)

• Universality classes in nonequilibrium lattice systems
• Critical Binder cumulant of two-dimensional Ising models
• The effects of violating detailed balance on critical dynamics
• Universality classes in anisotropic non-equilibrium growth models
• Nonequilibrium critical dynamics of the relaxational models C and D
• Driven Heisenberg Magnets: Nonequilibrium Criticality, Spatiotemporal Chaos and Control

Cited by in corpus (5)

• Order-disorder transition in the two dimensional interacting monomer-dimer model: Ising criticality
• Block renormalization study on the nonequilibrium chiral Ising model
• Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model
• Steady states and coarsening in one-dimensional driven Allen-Cahn system
• Critical dynamics of non-conserved strongly anisotropic permutation symmetric three-vector model