Driven Heisenberg Magnets: Nonequilibrium Criticality, Spatiotemporal Chaos and Control

Abstract

We drive a $d$-dimensional Heisenberg magnet using an anisotropic current. The continuum Langevin equation is analysed using a dynamical renormalization group 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.

7 pages, 2 figures. Published in Euro. Phys. Lett

References in corpus (2)

• Defibrillation via the Elimination of Spiral Turbulence in a Model for Ventricular Fibrillation
• The effects of violating detailed balance on critical dynamics

Cited by in corpus (13)

• Non-reciprocal phase transitions
• Topological active matter
• Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model
• Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks
• Asymmetric exchange in flocks
• Light-cone spreading of perturbations and the butterfly effect in a classical spin chain
• Active nonreciprocal attraction between motile particles in an elastic medium
• Topological Phase Transitions of Generalized Brillouin Zone
• Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Photoinduced non-reciprocal magnetism
• Critical dynamics of nonconserved $N$-vector model with anisotropic nonequilibrium perturbations
• Tailoring symmetry groups using external alternate fields
• Continuous Universality in non-equilibrium relaxational dynamics of O(2) symmetric systems