Memory effects in the relaxation of the Gaussian trap model

Abstract

We investigate the memory effect in a simple model for glassy relaxation, a trap model with a Gaussian density of states. In this model thermal equilibrium is reached at all finite temperatures and therefore we can consider jumps from low to high temperatures in addition to the quenches usually considered in aging studies. We show that the evolution of the energy following the Kovacs-protocol can approximately be expressed as a difference of two monotonously decaying functions and thus show the existence of a so-called Kovacs hump whenever these functions are not single exponentials. It is well established that the Kovacs effect also occurs in the linear response regime and we show that most of the gross features do not change dramatically when large temperature jumps are considered. However, there is one distinguishing feature that only exists beyond the linear regime which we discuss in detail. For the memory experiment with 'inverted' temperatures, i.e. jumping up and then down again, we find a very similar behavior apart from an opposite sign of the hump.

16 pages, 13 figures

References in corpus (6)

• Glassy Aging Dynamics
• The Kovacs effect: a master equation analysis
• Aging effects manifested in the potential energy landscape of a model glass former
• Effective temperatures from the fluctuation-dissipation measurements in soft glassy materials
• Kovacs effect in facilitated spin models of strong and fragile glasses
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