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Models of granular ratchets

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arxiv 0905.4168 v1 pith:EXE6OG5A submitted 2009-05-26 cond-mat.soft cond-mat.stat-mech

Models of granular ratchets

G. Costantini , A. Puglisi , U. Marini Bettolo Marconi This is my paper
classification cond-mat.soft cond-mat.stat-mech
keywords granularlimitobjectratchetsystemvelocityagreementasymmetric
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We study a general model of granular Brownian ratchet consisting of an asymmetric object moving on a line and surrounded by a two-dimensional granular gas, which in turn is coupled to an external random driving force. We discuss the two resulting Boltzmann equations describing the gas and the object in the dilute limit and obtain a closed system for the first few moments of the system velocity distributions. Predictions for the net ratchet drift, the variance of its velocity fluctuations and the transition rates in the Markovian limit, are compared to numerical simulations and a fair agreement is observed.

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