Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-05-29
Europhys. Lett. 60, 425 (2002).
Physics
Condensed Matter
Statistical Mechanics
8 pages, 2 figures
Scientific paper
10.1209/epl/i2002-00281-7
The relation between the autocorrelation $C(t,t_w)$ and the integrated linear response function $\chi(t,t_w)$ is studied in the context of the large-N model for phase-ordering systems subjected to a shear flow. In the high temperature phase $T>T_c$ a non-equilibrium stationary state is entered which is characterized by a non-trivial fluctuation-dissipation relation $\chi (t-t_w)=\tilde \chi(C(t-t_w))$. For quenches below $T_c$ the splitting of the order parameter field into two statistically independent components, responsible for the stationary $C^{st}(t-t_w)$ and aging $C^{ag}(t/t_w)$ part of the autocorrelation function, can be explicitly exhibited in close analogy with the undriven case. In the regime $t-t_w\ll t_w$ the same relation $\chi (t-t_w)=\tilde \chi (C^{st}(t-t_w))$ is found between the response and $C^{st}(t-t_w)$, as for $T>T_c$ . The aging part of $\chi (t,t_w)$ is negligible for $t_w\to \infty$, as without drive, resulting in a flat $\chi (C)$ in the aging regime $t-t_w\gg t_w$.
Corberi Federico
Gonnella Giuseppe
Lippiello Eugenio
Zannetti Marco
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