Characterization of non-equilibrium growth through global two-time quantities

In order to characterize non-equilibrium growth processes, we study the behaviour of global quantities that depend in a non-trivial way on two different times. We discuss the dynamical scaling forms of global correlation and response functions and show that the scaling behaviour of the global response can depend on how the system is perturbed. On the one hand we derive exact expressions for systems characterized by linear Langevin equations (as for example the Edwards-Wilkinson and the noisy Mullins-Herring equations), on the other hand we discuss the influence of nonlinearities on the scaling behaviour of global quantities by integrating numerically the Kardar-Parisi-Zhang equation. We also discuss global fluctuation-dissipation ratios and how to use them for the characterization of non-equilibrium growth processes.