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Nonequilibrium Critical Dynamics of the 2D XY model | Ludovic Berthier
; Peter C. W. Holdsworth
; Mauro Sellitto
; | Date: |
12 Dec 2000 | Journal: | J. Phys. A 34, 1805 (2001) | Subject: | Statistical Mechanics | cond-mat.stat-mech | Abstract: | The nonequilibrium critical dynamics of the 2D XY model is investigated numerically through Monte Carlo simulations and analytically in the spin-wave approximation. We focus in particular on the behaviour of the two-time response and correlation functions and show that the ageing dynamics depends on the initial conditions. The presence of critical fluctuations leads to non-trivial violations of the fluctuation-dissipation theorem apparently reminiscent of the three dimensional Edwards-Anderson spin glass model. We compute for this reason the finite-size overlap probability distribution function and find that it is related to the finite-time fluctuation-dissipation ratio obtained in the out of equilibrium dynamics, provided that the temperature is not very low. | Source: | arXiv, cond-mat/0012194 | Services: | Forum | Review | PDF | Favorites |
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