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

F. Corberi; G. Gonnella; E. Lippiello; M. Zannetti

doi:10.1209/epl/i2002-00281-7

All issues

Volume 60 / No 3 (November I 2002)

Europhys. Lett., 60 3 (2002) 425-431

Abstract

Issue		Europhys. Lett. Volume 60, Number 3, November I 2002


Page(s)		425 - 431
Section		Condensed matter: structural, mechanical and thermal properties
DOI		https://doi.org/10.1209/epl/i2002-00281-7
Published online		01 October 2002

Europhys. Lett., 60 (3), pp. 425-431 (2002)

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

F. Corberi¹, G. Gonnella², E. Lippiello¹ and M. Zannetti¹

¹ INFM, Unità di Salerno and Dipartimento di Fisica, Università di Salerno 84081 Baronissi (SA), Italy
² INFM and Dipartimento di Fisica, Università di Bari and INFN, Sezione di Bari via Amendola 173, 70126 Bari, Italy

Corresponding authors: corberi@na.infn.it, gonnella@ba.infn.it, lippiello@sa.infn.it, zannetti@na.infn.it

Received: 28 March 2002
Accepted: 9 August 2002

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 $T > T_\ab{c}$ 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 $T_\ab{c}$ the splitting of the order parameter field into two statistically independent components, responsible for the stationary $C^\ab{st}(t-t_w)$ and aging $C^\ab{ag}(t/t_w)$ 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 $\chi (t - {t_w})=\tilde \chi (C^\ab{st}(t - t_{w}))$ is found between the response and $C^\ab{st}(t - t{_w})$ , as for $T > T_\ab{c}$ . The aging part of $\chi (t,t_{w})$ is negligible for $t_{w} \rightarrow \infty$ , as without drive, resulting in a flat $\chi (C)$ in the aging regime $t - t_{w} \gg t_{w}$ .

PACS: 64.75.+g – Solubility, segregation, and mixing; phase separation / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 83.50.Ax – Steady shear flows, viscometric flow

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