Spontaneous synchronization is a remarkable collective effect observed in nature, whereby a population of oscillating units, which have diverse natural frequencies and are in weak interaction with one another, evolves to spontaneously exhibit collective oscillations at a common frequency. The Kuramoto model provides the basic analytical framework to study spontaneous synchronization of phase oscillators. In this talk, I will summarize recent results on the study of a generalized Kuramoto model that includes inertial effects and stochastic noise. I will describe the dynamics from a different perspective, namely, that of long-range interacting systems driven out
of equilibrium by quenched disordered external torques. Using tools of statistical physics, I will highlight the equilibrium and nonequilibrium aspects of the dynamics and uncover the rich and complex phase diagram that the model exhibits.
Un café sera servi à partir de 11 h dans le hall de l'amphi Claude Bloch