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Rotating States in Driven Clock- and XY-Models

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Abstract

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.

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Authors and Affiliations

  1. Instituut voor Theoretische Fysica, K.U. Leuven, Leuven, Belgium

    Christian Maes

  2. Centre de Physique Théorique UMR 6207, Lunimy, Marseille

    Senya Shlosman

  3. Inst. of the Information Transmission Problems, Moscow, Russia

    Senya Shlosman

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  1. Christian Maes
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  2. Senya Shlosman
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Correspondence to Senya Shlosman.

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Maes, C., Shlosman, S. Rotating States in Driven Clock- and XY-Models. J Stat Phys 144, 1238 (2011). https://doi.org/10.1007/s10955-011-0325-5

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