Fluctuations and effective temperatures in coarsening

Abstract

We study dynamic fluctuations in non-disordered finite dimensional ferromagnetic systems quenched to the critical point and the low-temperature phase. We investigate the fluctuations of two two-time quantities, called $\chi$ and $C$, the averages of which %$<\chi >$, $<C>$ yield the self linear response and correlation function. We introduce a restricted average of the $\chi$'s, summing over all configurations with a given value of $C$. We find that the restricted average $<\chi {>}_C$ obeys a scaling form, and that the slope of the scaling function approaches the universal value $X_{\infty }$ of the limiting effective temperature in the long-time limit and for $C\to 0$. Our results tend to confirm the expectation that time-reparametrization invariance is not realized in coarsening systems at criticality. Finally, we discuss possible experimental tests of our proposal.

17 pages, 9 figures

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Cited by in corpus (9)

• The effective temperature
• Fluctuation-dissipation relations and field-free algorithms for the computation of response functions
• Scaling in the Aging Dynamics of the Site-diluted Ising Model
• Domain growth and aging scaling in coarsening disordered systems
• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
• Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses
• Topological regulation of activation barriers on fractal substrates
• Phase ordering in disordered and inhomogeneous systems
• Aging properties of the voter model with long-range interactions