Ageing without detailed balance in the bosonic contact and pair-contact processes: exact results

Details Ageing without detailed balance in the bosonic contact and pair-contact processes: exact results Ageing without detailed balance in the bosonic contact and pair-contact processes: exact results

2005-04-11

arxiv.org/abs/cond-mat/0504243v2

J.Phys.A38:6623-6640,2005

Physics

Condensed Matter

Statistical Mechanics

22 pages, 5 figures, version to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/38/30/001

Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time response function are explicitly found. In the ageing regime, the dynamical scaling of these is analyzed and exact results for the ageing exponents and the scaling functions are derived. For the critical bosonic pair-contact process the autocorrelation and autoresponse exponents agree but the ageing exponents $a$ and $b$ are shown to be distinct.

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