Nonequilibrium steady states of the isotropic classical magnet

Details Nonequilibrium steady states of the isotropic classical magnet Nonequilibrium steady states of the isotropic classical magnet

2004-04-04

arxiv.org/abs/cond-mat/0404071v1

Physics

Condensed Matter

Soft Condensed Matter

submitted to Physical Review E

Scientific paper

We drive a d-dimensional Heisenberg magnet using a spatially anisotropic current of mobile particles or heat. The continuum Langevin equation is analyzed using a dynamical renormalization group, stability analysis and numerical simulations. We discover a rich steady-state phase diagram, including a critical point in a new nonequilibrium universality class, and a spatiotemporally chaotic phase. The latter may be `controlled' in a robust manner to target spatially periodic steady states with helical order. We discuss several physical realizations of this model and make definite predictions which could be tested in experimental or model lattice systems.

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