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.
Complete list of metadatas

https://hal.univ-lorraine.fr/tel-01754349
Contributor : Thèses Ul <>
Submitted on : Friday, March 30, 2018 - 9:46:12 AM
Last modification on : Monday, April 16, 2018 - 10:42:55 AM

File

SCD_T_2004_0034_ABRIET.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : tel-01754349, version 1

Collections

Citation

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⟩

Share

Metrics

Record views

18

Files downloads

25