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17 papers · 1 filter
Landau Levels in the Presence of Topological Defects
G. de A. Marques, Claudio Furtado, V. B. Bezerra +1
We study the Landau levels associated with electrons moving in a magnetic field in the presence of a continuous distribution of disclinations, a magnetic screw dislocation and a di…
Average Time Spent by Levy Flights and Walks on an Interval with Absorbing Boundaries
S. V. Buldyrev, S. Havlin, A. Ya. Kazakov +4
We consider a Levy flyer of order alpha that starts from a point x0 on an interval [O,L] with absorbing boundaries. We find a closed-form expression for the average number of fligh…
The Saffman-Taylor problem on a sphere
F. Parisio, F. Moraes, Jose A. Miranda +1
The Saffman-Taylor problem addresses the morphological instability of an interface separating two immiscible, viscous fluids when they move in a narrow gap between two flat paralle…
Biot-Savart-like law in electrostatics
Mario H. Oliveira, Jose A. Miranda
The Biot-Savart law is a well-known and powerful theoretical tool used to calculate magnetic fields due to currents in magnetostatics. We extend the range of applicability and the…
Rotating Hele-Shaw cells with ferrofluids
Jose A. Miranda
We investigate the flow of two immiscible, viscous fluids in a rotating Hele-Shaw cell, when one of the fluids is a ferrofluid and an external magnetic field is applied. The interp…
Gravity-driven instability in a spherical Hele-Shaw cell
Jose A. Miranda, Fernando Parisio, Fernando Moraes +1
A pair of concentric spheres separated by a small gap form a spherical Hele-Shaw cell. In this cell an interfacial instability arises when two immiscible fluids flow. We derive the…