In this chapter I consider the stochastic dynamics of an intruder in a granular fluid. Under the same assumptions used to derive the Boltzmann equation, a Master Equation for the intruder's velocity is derived. In the limit of large intruder's mass, the dynamics is described by an Ornstein-Uhlenbeck process. I discuss the effects of collisions' inelasticity and of non-Gaussian properties of the surrounding gas. When the shape of the intruder breaks some spatial symmetry, part of the energy dissipated in collisions can be converted in useful work. A granular Brownian motor is then realized.
Tracer's Diffusion: Swimming Through the Grains
Andrea Puglisi
2014
Abstract
In this chapter I consider the stochastic dynamics of an intruder in a granular fluid. Under the same assumptions used to derive the Boltzmann equation, a Master Equation for the intruder's velocity is derived. In the limit of large intruder's mass, the dynamics is described by an Ornstein-Uhlenbeck process. I discuss the effects of collisions' inelasticity and of non-Gaussian properties of the surrounding gas. When the shape of the intruder breaks some spatial symmetry, part of the energy dissipated in collisions can be converted in useful work. A granular Brownian motor is then realized.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
prod_334995-doc_104653.pdf
solo utenti autorizzati
Descrizione: Chapter_4
Tipologia:
Versione Editoriale (PDF)
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
247.7 kB
Formato
Adobe PDF
|
247.7 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.