Effects of an external drive on the fluctuation-dissipation relation of phase-ordering systems

Abstract

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 $t-t_w\gg t_w$.

8 pages, 2 figures

References in corpus (2)

• On the connection between off-equilibrium response and statics in non disordered coarsening systems
• The segregation of sheared binary fluids in the Bray-Humayun model

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• Correlation Functions and Fluctuation-Dissipation Relation in Driven Mixtures: an exactly solvable model
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• Probing Nonequilibrium Fluctuations through Linear Response
• Fluctuation relations in non-equilibrium stationary states of Ising models
• Heat exchanges in coarsening systems