Response of non-equilibrium systems at criticality: ferromagnetic models in dimension two and above

  title={Response of non-equilibrium systems at criticality: ferromagnetic models in dimension two and above},
  author={Claude Godr{\`e}che and Jean-Marc Luck},
  journal={Journal of Physics A},
We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. We perform an exact analysis of the spherical model in any dimension D>2 and numerical simulations on the two-dimensional Ising model. These systems are shown to be ageing in the long-time regime, i.e. their two-time autocorrelation and response functions, and associated fluctuation-dissipation ratio, are non-trivial scaling functions of both time variables. We show in particular that… 

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