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http://hdl.handle.net/1942/9349
Title: | Dynamical properties of granular rotors | Authors: | CLEUREN, Bart EICHHORN, Ralf |
Issue Date: | 2008 | Publisher: | IOP Publishing | Source: | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2008(10), (ART N° P10011) | Abstract: | The stochastic motion of an arbitrarily shaped rotor, free to rotate around a fixed axis as a result of dissipative collisions with a surrounding thermalized gas, is investigated. A Boltzmann master equation is derived, starting from the elementary gas–rotor collisions. Analytical expressions for the moments of the rotational speed and the rotational temperature are obtained in the form of a series expansion, using the mass ratio of the gas particle and the rotor as the expansion parameter. We discuss the general features of the motion, which is largely determined by the geometry of the rotor. In particular, a stationary non-zero rotation is observed for rotationally asymmetric rotors. Molecular dynamics simulations support the analytical results. | Keywords: | stochastic particle dynamics (theory), granular matter, molecular dynamics | Document URI: | http://hdl.handle.net/1942/9349 | ISSN: | 1742-5468 | e-ISSN: | 1742-5468 | DOI: | 10.1088/1742-5468/2008/10/P10011 | ISI #: | 000260529900013 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2009 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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ms.pdf | Non Peer-reviewed author version | 217 kB | Adobe PDF | View/Open |
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