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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.
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.
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