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Article Dans Une Revue Journal of Statistical Physics Année : 2011

Rotating states in driven clock- and XY-models

Résumé

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.
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Dates et versions

hal-01221873 , version 1 (05-02-2024)

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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⟩
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