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Tracer’s Diffusion: Swimming Through the Grains

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Transport and Fluctuations in Granular Fluids

Part of the book series: SpringerBriefs in Physics ((SpringerBriefs in Physics))

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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.

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Authors and Affiliations

  1. Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, Piazzale Aldo Moro 5, I-00185, Rome, Italy

    Andrea Puglisi

  2. CNR-ISC c/o Dipartimento di Fisica, Sapienza-Università di Roma, Piazzale Aldo Moro 5, I-00185, Rome, Italy

    Andrea Puglisi

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Puglisi, A. (2015). Tracer’s Diffusion: Swimming Through the Grains. In: Transport and Fluctuations in Granular Fluids. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-10286-3_4

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