Three-dimensional non-equilibrium Potts systems with magnetic friction

Abstract

We study the non-equilibrium steady states that emerge when two interacting three-dimensional Potts blocks slide on each other. As at equilibrium the Potts model exhibits different types of phase transitions for different numbers $q$ of spin states, we consider the following three cases: $q=2$ (i.e. the Ising case), $q=3$, and $q=9$, which at equilibrium yield respectively a second order phase transition, a weak first order transition and a strong first order transition. In our study we focus on the anisotropic character of the steady states that result from the relative motion and discuss the change in finite-size signatures when changing the number $q$ of spin states.

arXiv comment7 pages, 7 figures, accepted for publication in the Physical Review E

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• A model of magnetic friction with the infinite-range interaction
• A model of magnetic friction obeying the Dieterich--Ruina law in the steady state
• Effects of Boundary Conditions on Magnetic Friction
• Relaxation process of magnetic friction under sudden changes in velocity
• Nonmonotonic Magnetic Friction from Collective Rotor Dynamics
• Transition between the stick and slip states in a simplified model of magnetic friction