Ageing in the contact process: scaling behaviour and universal features

and

Published 3 January 2007 • IOP Publishing Ltd
, , Citation Florian Baumann and Andrea Gambassi J. Stat. Mech. (2007) P01002 DOI 10.1088/1742-5468/2007/01/P01002

Download Article PDF

Article metrics

125 Total downloads

Share this article

Author affiliations

1 Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, Staudtstraße 7B3, D-91058 Erlangen, Germany

2 Laboratoire de Physique des MatériauxLaboratoire associé au CNRS UMR 7556., Université Henri Poincaré Nancy I, BP 239, F-54506 Vandœuvre lès Nancy Cedex, France

3 Max-Planck-Institut für Metallforschung, Heisenbergstraße 3, D-70569 Stuttgart, Germany

4 Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

Dates

  1. Received 18 October 2006
  2. Accepted 1 December 2006
  3. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
1742-5468/2007/01/P01002

Abstract

We investigate some aspects of the ageing behaviour observed in the contact process after a quench from its active phase to the critical point. In particular we discuss the scaling properties of the two-time response function and we calculate it and its universal ratio to the two-time correlation function up to first order in the field-theoretical epsilon-expansion (epsilon = 4−d). The scaling form of the response function does not fit the prediction of the theory of local scale invariance. Our findings are in good qualitative agreement with recent numerical results.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
10.1088/1742-5468/2007/01/P01002