On the metastable autocorrelation and susceptibility of Markovian systems

We show numerically that the metastable autocorrelation of the magnetization in a bidimensional Ising model with Glauber dynamics follows a power law. In particular, we show that it has the form of a q-exponential for a wide set of parameters. This shows that the result is very robust. From this result we obtain the form of the metastable susceptibility in terms of transcendental functions.