This book investigates the common nature of granular and active systems which is rooted in
their intrinsic out-of-equilibrium behavior with the aim of finding minimal models able to
reproduce and predict the complex collective behavior observed in experiments and simulations.
Granular and active matter are among the most studied systems in out-of-equilibrium statistical
physics. The book guides readers through the derivation of a fluctuating hydrodynamic
description of granular and active matter by means of controlled and transparent mathematical
assumptions made on a lattice model. It also shows how a macroscopic description can be
provided from microscopic requirements leading to the prediction of collective states such as
cooling swarming clustering and the transitions among them. The analytical and numerical
results shed new light on the physical connection between the local microscopic properties of
few particles and the macroscopic collective motion of thewhole system.
