Ageing phenomena without detailed balance: the contact process

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 aut...

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Bibliographic Details
Main Author: Enss, Tilman (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2004
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/cond-mat/0406147
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Author Notes:Tilman Enss, Malte Henkel, Alan Picone and Ulrich Schollwöck
Description
Summary: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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