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

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

2009-05-29

arxiv.org/abs/0905.4876v1

J. Phys. A Math. Theor. 42 (2009) 395004

Physics

Condensed Matter

Statistical Mechanics

Latex2e, 24 pages, with 9 figures included

Scientific paper

10.1088/1751-8113/42/39/395004

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.

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