Lattice Models for Fluctuating Hydrodynamics in Granular and Active Matter

Description

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 the whole system. Front Matter ....Pages i-xix Front Matter ....Pages 1-1 Introduction (Alessandro Manacorda)....Pages 3-30 Theoretical Models of Granular and Active Matter (Alessandro Manacorda)....Pages 31-66 Hydrodynamic Description and Lattice Models (Alessandro Manacorda)....Pages 67-98 Front Matter ....Pages 99-99 Granular Lattice: Fluctuating Hydrodynamics (Alessandro Manacorda)....Pages 101-133 Granular Lattice: Beyond Molecular Chaos (Alessandro Manacorda)....Pages 135-148 Active Lattice Fluctuating Hydrodynamics (Alessandro Manacorda)....Pages 149-172 Conclusions (Alessandro Manacorda)....Pages 173-175 Back Matter ....Pages 177-200