Granular discharge and clogging for tilted hoppers

We measure the flux of spherical glass beads through a hole as a systematic function of both tilt angle and hole diameter, for two different size beads. The discharge increases with hole diameter in accord with the Beverloo relation for both horizontal and vertical holes, but in the latter case with a larger small-hole cutoff. For large holes the flux decreases linearly in cosine of the tilt angle, vanishing smoothly somewhat below the angle of repose. For small holes it vanishes abruptly at a smaller angle. The conditions for zero flux are discussed in the context of a {\it clogging phase diagram} of flow state vs tilt angle and ratio of hole to grain size

Breaking of general rotational symmetries by multi-dimensional classical ratchets

We demonstrate that a particle driven by a set of spatially uncorrelated, independent colored noise forces in a bounded, multidimensional potential exhibits rotations that are independent of the initial conditions. We calculate the particle currents in terms of the noise statistics and the potential asymmetries by deriving an n-dimensional Fokker-Planck equation in the small correlation time limit. We analyze a variety of flow patterns for various potential structures, generating various combinations of laminar and rotational flows.Comment: Accepted, Physical Review

Control of absolute negative mobility via noise recycling procedure

Absolute negative mobility (ANM) is investigated in a spatially-periodic symmetric system under the influence of noise consisting of the superposition of a white Gaussian noise with the same noise delayed by time τ. The effects of the noise intensity σ, the time delay τ and feedback intensity ϵ in the noise recycling are discussed. It is found that the noise intensity σ and time delay τ can induce the phenomenon of ANM, while the feedback intensity ϵ can not induce it. This phenomenon of ANM can be tested in the setup consisting of a resistively and capacitively shunted Josephson junction device by using a vertical cavity surface emitting laser to generate the noise recycling procedure