TEORIA DELLA RISPOSTA ESATTA E MODELLO DI KURAMOTO CON COEFFICIENTE DI ACCOPPIAMENTO PERIODICO

The theory that describes systems in equilibrium is already well established, and reached its peak with statistical mechanics. The same cannot be said for out-of-equilibrium systems which still remain an open and exciting challenge. The exact response theory tries to fill this gap, where an important role is played by the dissipation function, which gives the response of the system after the perturbation. In this work we illustrate this theory and then propose a new modified version of the Kuramoto model where we apply this theory. In this version of the model the coupling coefficient is a periodic function, rather than being constant. In general the Kuramoto model is the cornerstone model for syncrhonization.