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Dynamique hors équilibre dans le modèle XY et la chaîne quantique d'Ising

Abstract : We study through Monte Carlo simulations, the out of equilibrium dynamics in the two- and three-dimensional XY models following a quench. In the 2D XY-model, we focus on the critical dynamics starting from fully ordered, critical or disordered initial states. Thanks to the spin-wave approximation and scaling arguments, we depict the dynamical behaviour of the two-time autocorrelation and response functions and we analyse the violation of the fluctuation dissipation theorem. We apply this study to the 3D XY-model which exhibits a dynamical behaviour in agreement with present conjectures. We also consider the relaxational dynamics of the random Ising quantum chain at T=0. Numerically, we observe an algebraic decay of the transverse magnetisation. The asymptotic behaviour of the correlation between surface spins has been interpreted through analytical arguments.
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Submitted on : Friday, March 30, 2018 - 9:46:12 AM
Last modification on : Thursday, November 12, 2020 - 3:42:03 PM


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  • HAL Id : tel-01754349, version 1



Stéphane Abriet. Dynamique hors équilibre dans le modèle XY et la chaîne quantique d'Ising. Autre [cond-mat.other]. Université Henri Poincaré - Nancy 1, 2004. Français. ⟨NNT : 2004NAN10034⟩. ⟨tel-01754349⟩



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