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Ageing phenomena without detailed balance: the contact process

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arxiv cond-mat/0406147 v1 pith:EB3LQLJI submitted 2004-06-06 cond-mat.stat-mech cond-mat.softmath-phmath.MP

classification cond-mat.stat-mechcond-mat.softmath-phmath.MP
keywords ageingautoresponsecontactprocessscalingagreementapproachautocorrelation
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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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  1. Physical ageing from generalised time-translation-invariance

    cond-mat.stat-mech 2025-04 conditional novelty 5.0 of 10

    A single time-dependent symmetry transformation is claimed to explain the known scaling phenomenology of physical ageing and to predict new finite-size plateau scalings.

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