Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-08-09
Physics
Condensed Matter
Statistical Mechanics
14 pages, revtex4, published version. Changes from v1: added discussion of refs [16,36,37], other observables and local corr
Scientific paper
10.1103/PhysRevE.72.056114
We calculate analytically the fluctuation-dissipation ratio (FDR) for Ising ferromagnets quenched to criticality, both for the long-range model and its short-range analogue in the limit of large dimension. Our exact solution shows that, for both models, $X^\infty=1/2$ if the system is unmagnetized while $X^\infty=4/5$ if the initial magnetization is non-zero. This indicates that two different classes of critical coarsening dynamics need to be distinguished depending on the initial conditions, each with its own nontrivial FDR. We also analyze the dependence of the FDR on whether local and global observables are used. These results clarify how a proper local FDR (and the corresponding effective temperature) should be defined in long-range models in order to avoid spurious inconsistencies and maintain the expected correspondence between local and global results; global observables turn out to be far more robust tools for detecting non-equilibrium FDRs.
Garriga Adan
Pagonabarraga Ignacio
Ritort Felix
Sollich Peter
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