Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-06-11
J.Stat.Mech.0407:P07013,2004
Physics
Condensed Matter
Statistical Mechanics
32 pages, 5 figures. Minor changes, published version
Scientific paper
10.1088/1742-5468/2004/07/P07013
We consider the problem of the definition of an effective temperature via the long-time limit of the fluctuation-dissipation ratio (FDR) after a quench from the disordered state to the critical point of an O(N) model with dissipative dynamics. The scaling forms of the response and correlation functions of a generic observable are derived from the solutions of the corresponding Renormalization Group equations. We show that within the Gaussian approximation all the local observables have the same FDR, allowing for a definition of a unique effective temperature. This is no longer the case when fluctuations are taken into account beyond that approximation, as shown by a computation up to the first order in the epsilon-expansion for two quadratic observables. This implies that, contrarily to what often conjectured, a unique effective temperature can not be defined for this class of models.
Calabrese Pasquale
Gambassi Andrea
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