Rotating States in Driven Clock- and XY-Models

Christian Maes, Senya Shlosman

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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≫1 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.

Original languageEnglish
Pages (from-to)1238-1246
Number of pages9
JournalJournal of Statistical Physics
Issue number6
Publication statusPublished - Sep 2011
Externally publishedYes


  • Nonequilibrium dynamics
  • Soft modes


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