Numerical investigation of the aging of the Fully-Frustrated XY model
Résumé
We study the out-of-equilibrium dynamics of the fully-frustrated XY model. At equilibrium, this model undergoes two phase transitions at two very close temperatures: a Kosterlitz-Thouless topological transition and a second-order phase transition between a paramagnetic phase and a low-temperature phase where the chiralities of the lattice plaquettes are anti-ferromagnetically ordered. We computed by Monte Carlo simulations two-time spin-spin and chirality-chirality autocorrelation and response functions. Our estimates of the autocorrelation exponents and fluctuation-dissipation ratios follow the same trend as most static critical exponents found in the litterature: they are significantly different from the XY values (for the spin-spin quantities) and the Ising ones (for the chirality-chirality quantities).
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