Rotating states in driven clock- and XY-models

Christian Maes (1) , Senya Shlosman (2)

1 Instituut voor Theoretische Fysica
2 CPT - E5 Physique statistique et systèmes complexes

We consider 3D active plane rotators, where the interaction between the spins is of XY-type and where each spin is driven to rotate. For the clock-model, when the spins take N\gg1 possible values, we conjecture that there are two low-temperature regimes. At very low temperatures and for small enough drift the phase diagram is a small perturbation of the equilibrium case. At larger temperatures the massless modes appear and the spins start to rotate synchronously for arbitrary small drift. For the driven XY-model we prove that there is essentially a unique translation-invariant and stationary distribution despite the fact that the dynamics is not ergodic.

Mots clés: soft modes; nonequilibrium dynamics

Domaines: Physique mathématique [math-ph]

Christian Maes, Senya Shlosman. Rotating states in driven clock- and XY-models. Journal of Statistical Physics, 2011, 144 (6), pp.12. ⟨10.1007/s10955-011-0325-5⟩. ⟨hal-01221873⟩