Magnetic friction: From Stokes to Coulomb behavior

Abstract

We demonstrate that in a ferromagnetic substrate, which is continuously driven out of equilibrium by a field moving with constant velocity $v$, at least two types of friction may occur when $v$ goes to zero: The substrate may feel a friction force proportional to $v$ (Stokes friction), if the field changes on a time scale which is longer than the intrinsic relaxation time. On the other hand, the friction force may become independent of $v$ in the opposite case (Coulomb friction). These observations are analogous to e.g. solid friction. The effect is demonstrated in both, the Ising (one spin dimension) and the Heisenberg model (three spin dimensions), irrespective which kind of dynamics (Metropolis spin-flip dynamics or Landau-Lifshitz-Gilbert precessional dynamics) is used. For both models the limiting case of Coulomb friction can be treated analytically. Furthermore we present an empiric expression reflecting the correct Stokes behavior and therefore yielding the correct cross-over velocity and dissipation.

4 pages, 3 figures

References in corpus (4)

• Magnetic friction in Ising spin systems
• Spin excitations in a monolayer scanned by a magnetic tip
• Spin waves cause non-linear friction
• Nonequilibrium phase transition in a driven Potts model with friction

Cited by in corpus (13)

• Strongly anisotropic non-equilibrium phase transition in Ising models with friction
• Sheared Ising models in three dimensions
• Magnetic vortices induced by a moving tip
• Realizing an Isotropically Coercive Magnetic Layer for Memristive Applications by Analogy to Dry Friction
• Magnetic non-contact friction from domain wall dynamics actuated by oscillatory mechanical motion
• Three-dimensional non-equilibrium Potts systems with magnetic friction
• Energy dissipation of moved magnetic vortices
• Moving magnets in a micromagnetic finite difference framework
• Effects of Boundary Conditions on Magnetic Friction
• A model of magnetic friction with the infinite-range interaction
• A model of magnetic friction obeying the Dieterich--Ruina law in the steady state
• Relaxation process of magnetic friction under sudden changes in velocity
• Transition between the stick and slip states in a simplified model of magnetic friction