Universal properties of aging in structural glasse

A microscopic theory for equilibrium and non equilibrium relaxations in structural glasses is formulated. For all temperatures below the glass transition the dynamics can be asymptotically separated in a $\beta $ - relaxation regime, which connects a quasi equilibrium with the aging regime and the aging regime. In the $\beta$ - relaxation regime dynamic correlation are independent from spatial correlations. This is due to a self organized critical bifurcation scenario, which gives rise to one dynamic power law and a logarithmic law. It is shown that the fluctuation dissipation ratio in the aging regime is a universal property of the system independent from spatial scales.