Ageing phenomena without detailed balance: the contact process

Details Ageing phenomena without detailed balance: the contact process Ageing phenomena without detailed balance: the contact process

2004-06-06

arxiv.org/abs/cond-mat/0406147v1

J. Phys. A37, 10479-10495 (2004)

Physics

Condensed Matter

Statistical Mechanics

20 pages, 15 figures, Latex2e with IOP macros

Scientific paper

10.1088/0305-4470/37/44/002

The long-time dynamics of the 1D contact process suddenly brought out of an uncorrelated initial state is studied through a light-cone transfer-matrix renormalisation group approach. At criticality, the system undergoes ageing which is characterised through the dynamical scaling of the two-times autocorrelation and autoresponse functions. The observed non-equality of the ageing exponents a and b excludes the possibility of a finite fluctuation-dissipation ratio in the ageing regime. The scaling form of the critical autoresponse function is in agreement with the prediction of local scale-invariance.

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