Effects of a random field on the off-equilibrium response of the 1-d Ising model

Federico Corberi



Abstract

The response of the one-dimensional Ising model to a perturbation exerted during the scaling regime following a temperature quench is discussed. The behavior of both the pure system and the random-field model are considered showing a qualitatively different behavior. In the pure case the brownian diffusion of interfaces determines an anomalous response which produces the breakdown of the Franz-Mezard-Parisi-Peliti theorem [Phys.Rev.Lett.81, 1758 (1998)] relating the off-equilibrium response to the static properties. This anomaly is tamed in the random field model, and the applicability of the theorem is restored.


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