Effective temperature in the quench of coarsening systems to and below $T_C$

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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22 pages, 7 figures. To be published on Jstat

Scientific paper

10.1088/1742-5468/2004/12/P12007

We overview the general scaling behavior of the effective temperature in the que nches of simple non disordered systems, like ferromagnets, to and below $T_C$. Emphasis is on the behavior as d imensionality is varied. Consequences on the shape of the asymptotic parametric representation are derived. In particu lar, this is always trivial in the critical quenches with $T_C>0$. We clarify that the quench to $T_C=0$ at the lower critical dimensionality $d_L$, cannot be regarded as a critical quench. Implications for the behavior of the exponent $a$ of the aging response function in the quenches below $T_C$ are developed.

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