Critical aging of a ferromagnetic system from a completely ordered state

Details Critical aging of a ferromagnetic system from a completely ordered state Critical aging of a ferromagnetic system from a completely ordered state

2005-07-05

arxiv.org/abs/cond-mat/0507112v2

Europhys. Lett., 74, 89-95 (2006)

Physics

Condensed Matter

Statistical Mechanics

5 pages, revtex4

Scientific paper

10.1209/epl/i2005-10500-9

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the system starting from a completely ordered state. We find that the average magnetization obeys the long-time scaling behavior almost immediately after the system starts to evolve while the correlation and response functions demonstrate scaling behavior which is typical for aging phenomena. The corresponding fluctuation-dissipation ratio is computed to first order in $\epsilon$ and the relation between transverse and longitudinal fluctuations is discussed.

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