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Ageing without detailed balance in the bosonic contact and pair-contact processes: Exact results
Baumann F., Henkel M., Pleimling M., Richert J.
Journal of Physics A: Mathematical and General 38 (2005) 6623
DOI : 10.1088/0305-4470/38/30/001
ArXiv : cond-mat/0504243 [PDF]

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 analysed 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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