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We investigate the memory effect in a simple model for glassy relaxation, atrap model with a Gaussian density of states. In this model thermal equilibriumis reached at all finite temperatures and therefore we can consider jumps fromlow to high temperatures in addition to the quenches usually considered inaging studies. We show that the evolution of the energy following theKovacs-protocol can approximately be expressed as a difference of twomonotonously decaying functions and thus show the existence of a so-calledKovacs hump whenever these functions are not single exponentials. It is wellestablished that the Kovacs effect also occurs in the linear response regimeand we show that most of the gross features do not change dramatically whenlarge temperature jumps are considered. However, there is one distinguishingfeature that only exists beyond the linear regime which we discuss in detail.For the memory experiment with 'inverted' temperatures, i.e. jumping up andthen down again, we find a very similar behavior apart from an opposite sign ofthe hump.

Memory effects in the relaxation of the Gaussian trap model