Ageing in bosonic particle-reaction models with long-range transport

Abstract

Ageing in systems without detailed balance is studied in bosonic contact and pair-contact processes with Levy 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.

Latex2e, 24 pages, with 9 figures included

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• Spherical model of growing interfaces
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• On non-local representations of the ageing algebra
• Exact two-time correlation and response functions in the one-dimensional coagulation-diffusion process by the empty-interval-particle method
• Conformal symmetry in non-local field theories
• Neutron fluctuations: the importance of being delayed
• Non-local representations of the ageing algebra in higher dimensions
• Physical ageing from generalised time-translation-invariance
• Aging processes in reversible reaction-diffusion systems: Monte Carlo simulations
• On non-local representations of the ageing algebra in $d\ge 1$ dimensions