Ageing phenomena without detailed balance: the contact process

Tilman Enss; Malte Henkel; Alan Picone; Ulrich Schollwöck

doi:10.1088/0305-4470/37/44/002

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Ageing phenomena without detailed balance: the contact process

Tilman Enss·Malte Henkel·Alan Picone·Ulrich Schollwöck

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Abstract

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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Tilman Enss, Malte Henkel, Alan Picone, Ulrich Schollwöck. 2004-06-06. Ageing phenomena without detailed balance: the contact process. https://doi.org/10.1088/0305-4470%2F37%2F44%2F002

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