English

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

Statistical Mechanics 2009-09-22 v1 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0905.4876,
  title  = {Ageing in bosonic particle-reaction models with long-range transport},
  author = {Xavier Durang and Malte Henkel},
  journal= {arXiv preprint arXiv:0905.4876},
  year   = {2009}
}

Comments

Latex2e, 24 pages, with 9 figures included