Generic features of the fluctuation dissipation relation in coarsening systems

2003/11/03 by Federico Corberi, Claudio Castellano, Eugenio Lippiello +1
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.70.017103

published as Phys. Rev. E 70, 017103 (2004) · 6 pages, 5 figures

arxiv created 2003/11/03 · arxiv updated 2009/12/01

Abstract

The integrated response function in phase-ordering systems with scalar, vector, conserved and non conserved order parameter is studied at various space dimensionalities. Assuming scaling of the aging contribution χ_ag (t,t_w)= t_w ^-a_χ χ(t/t_w) we obtain, by numerical simulations and analytical arguments, the phenomenological formula describing the dimensionality dependence of a_χ in all cases considered. The primary result is that a_χ vanishes continuously as d approaches the lower critical dimensionality d_L. This implies that i) the existence of a non trivial fluctuation dissipation relation and ii) the failure of the connection between statics and dynamics are generic features of phase ordering at d_L.

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