Lattice Models for Fluctuating Hydrodynamics in Granular and Active Matter

✍ Scribed by Alessandro Manacorda

Publisher: Springer International Publishing
Year: 2018
Tongue: English
Leaves: 211
Series: Springer Theses
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

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

✦ Subjects

Physics; Statistical Physics and Dynamical Systems; Soft and Granular Matter, Complex Fluids and Microfluidics; Thermodynamics

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