Aging at Criticality in Models with Absorbing States

Ramasco, J. J.; Henkel, M.; Santos, M. A.; da Silva Santos, C. A.

doi:10.1007/978-3-540-32640-3_15

J. J. Ramasco²,
M. Henkel³,
M. A. Santos⁴ &
…
C. A. da Silva Santos⁴

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 105))

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Abstract

We study the behavior of the two time correlation functions and of the response function to an external field of the Contact Process, a paradigm model in the Directed Percolation (DP) universality class. In particular, we find that the autocorrelation and autoresponse exponents λ _Г and λ _R are equal but, in contrast to systems relaxing to equilibrium, the ageing exponents a and b are distinct. A recent proposal to define a non-equilibrium temperature through the short-time limit of the fluctuation-dissipation ratio is therefore not applicable.

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References

L.F. Cugliandolo, in Slow Relaxation and non equilibrium dynamics in condensed matter, Ed. J.-L. Barrat, J. Dalibard, J. Kurchan, M.V. Feigelman. (Springer, Berlin Heidelberg New York 2003). See also cond-mat/0210312 for a full review on the field.
Google Scholar
C. Godrèche, J.-M. Luck: J. Phys. Cond. Matt. 14, 1589 (2002)
Article ADS Google Scholar
M. Henkel: Adv. Solid State Phys. 44, (2004) in press, cond-mat/0404016
Google Scholar
I. Dornic, H. Chaté, J. Chave, H. Hinrichsen: Phys. Rev. Lett. 87, 045701 (2001)
Article ADS Google Scholar
J.J. Ramasco, M. Henkel, M.A. Santos, C.A. da Silva Santos: J. Phys. A 37, 10497 (2004)
Article MATH ADS MathSciNet Google Scholar
T. Enss, M. Henkel, A. Picone, U. Schollwöck: J. Phys. A 37, 10479 (2004)
Article MATH ADS MathSciNet Google Scholar

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Authors and Affiliations

Physics Department, Emory University, Atlanta, GA, 30322, USA
J. J. Ramasco
Laboratoire de Physique des Matériaux, U. Henri Poincaré Nancy I and CNRS, B.P. 239, F - 54506, Vandoeuvre-lès-Nancy Cedex, France
M. Henkel
Departamento de Física and Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, P-4169-007, Porto, Portugal
M. A. Santos & C. A. da Silva Santos

Authors

J. J. Ramasco
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M. Henkel
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M. A. Santos
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C. A. da Silva Santos
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Editor information

Editors and Affiliations

Center for Simulational Physics, The University of Georgia, Athens, GA, 30602-2451, USA
David P. Landau Ph.D. , Steven P. Lewis Ph.D. & Heinz-Bernd Schüttler Ph.D. , &

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Ramasco, J.J., Henkel, M., Santos, M.A., da Silva Santos, C.A. (2007). Aging at Criticality in Models with Absorbing States. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XVIII. Springer Proceedings in Physics, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-32640-3_15

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DOI: https://doi.org/10.1007/978-3-540-32640-3_15
Publisher Name: Springer, Berlin, Heidelberg
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