Nonequilibrium phase transition in a driven Potts model with friction

Abstract

We consider magnetic friction between two systems of $q$-state Potts spins which are moving along their boundaries with a relative constant velocity $v$. Due to the interaction between the surface spins there is a permanent energy flow and the system is in a steady state which is far from equilibrium. The problem is treated analytically in the limit $v=\infty$ (in one dimension, as well as in two dimensions for large-$q$ values) and for $v$ and $q$ finite by Monte Carlo simulations in two dimensions. Exotic nonequilibrium phase transitions take place, the properties of which depend on the type of phase transition in equilibrium. When this latter transition is of first order, a sequence of second- and first-order nonequilibrium transitions can be observed when the interaction is varied.

13 pages, 9 figures, one journal reference added

References in corpus (10)

• Inhomogeneous Systems with Unusual Critical Behaviour
• Critical phenomena at perfect and non-perfect surfaces
• Magnetic friction in Ising spin systems
• Non-equilibrium phase transition in an exactly solvable driven Ising model with friction
• Boundary and Bulk Phase Transitions in the Two Dimensional Q > 4 State Potts Model
• Spin excitations in a monolayer scanned by a magnetic tip
• Critical behaviour in parabolic geometries
• Bulk and surface properties in the critical phase of the two-dimensional XY model
• Surface-induced disorder and aperiodic perturbations at first-order transitions
• Interfacial adsorption in two-dimensional Potts models

Cited by in corpus (14)

• Surface criticality at a dynamic phase transition
• Strongly anisotropic non-equilibrium phase transition in Ising models with friction
• Magnetic friction: From Stokes to Coulomb behavior
• Sheared Ising models in three dimensions
• Formation of nonequilibrium modulated phases under local energy input
• Energy dissipation of moved magnetic vortices
• Three-dimensional non-equilibrium Potts systems with 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
• Effects of Boundary Conditions on Magnetic Friction
• Surface critical exponents at a discontinuous bulk transition
• Relaxation process of magnetic friction under sudden changes in velocity
• Transition between the stick and slip states in a simplified model of magnetic friction
• Nonmonotonic Magnetic Friction from Collective Rotor Dynamics