Abstract
Ageing in systems without detailed balance is studied in bosonic contact and pair-contact processes with Lévy diffusion. In the ageing regime, the dynamical scaling of the two-time correlation function and two-time response function is found and analysed. Exact results for non-equilibrium exponents and scaling functions are derived. The behaviour of the fluctuation–dissipation ratio is analysed. A passage time from the quasi-stationary regime to the ageing regime is defined in qualitative agreement with kinetic spherical models and p-spin spherical glasses.
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