1.

Record Nr.

UNINA9910741156403321

Autore

Puglisi Andrea

Titolo

Transport and Fluctuations in Granular Fluids : From Boltzmann Equation to Hydrodynamics, Diffusion and Motor Effects / / by Andrea Puglisi

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-10286-9

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (131 p.)

Collana

SpringerBriefs in Physics, , 2191-5423

Disciplina

530

530.15

530.41

621

Soggetti

Amorphous substances

Complex fluids

Statistical physics

Dynamical systems

Physics

Soft and Granular Matter, Complex Fluids and Microfluidics

Complex Systems

Mathematical Methods in Physics

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Introduction -- 1 Granular fluids: from everyday life to the lab -- Boltzmann equation: a gas of grains -- Hydrodynamics: a sea of grains -- Tracer’s diffusion: swimming through the grains -- The arrow of time: past and future of grains -- Conclusion and perspectives -- Expansion of the first two moments of the transition rates for large mass of the tracer -- Index.

Sommario/riassunto

This brief offers a concise presentation of granular fluids from the  point of view of non-equilibrium statistical physics. The emphasis is on fluctuations, which can be large in granular fluids due to the small



system size (the number of grains is many orders of magnitude smaller than in molecular fluids). Firstly, readers will be introduced to the most intriguing experiments on fluidized granular fluids. Then granular fluid theory, which goes through increasing levels of coarse-graining and emerging collective phenomena, is described. Problems and questions are initially posed at the level of kinetic theory, which describes particle densities in full or reduced phase-space. Some answers become clear through hydrodynamics, which describes the evolution of slowly evolving fields. Granular fluctuating hydrodynamics, which builds a bridge to the most recent results in non-equilibrium statistical mechanics, is also introduced. Further and more interesting answers come when the dynamics of a massive intruder are discussed. Such non-equilibrium stochastic process offers a more precise and compact picture of the features foreseen at the more detailed levels of description. The dynamics of an intruder diffusing in a granular fluid reveal the clearest connection with recent theories on stochastic energetics and stochastic thermodynamics.