Experimental study of the forces on spheres rolling stochastically in a nearly-levitating upflow of air, by use of statistical mechanics
Abstract
The dynamics of a sphere fluidized in an upflow of air were previously found to be indentical to those of a Brownian particle in a two-dimensional harmonic trap, consistent with a Langevin equation [Ojha et al., Nature 427, 521 (2004)]. The random forcing, the drag, and the trapping potential represent different aspects of the interaction of the sphere with the airflow. In this paper we vary the experimental conditions for a single sphere, and report on how the force terms in the Langevin equation scale with air flow speed, sphere radius, sphere density, and system size. We also report on the effective interaction potential between two spheres in an upflow of air.Keywords
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