Stability and vortex structures of quasi-two-dimensional shear flows

Abstract

We demonstrate the novel and compact implementation of a monostable-to-bistable transition logic element (MOBILE) using only three resonant tunneling diodes (RTDs). The proposed circuit consists of only three RTDs and one resistor, with the configuration of a series-connected RTD pair and a series-connected RTD and resistor. The RTD pair is used for the MOBILE core circuit, and the RTD and resistor pair is used for current modulation. We also designed a frequency divider using the proposed MOBILE circuits. Test circuits are fabricated using InP-based RTD technology. The operation of the fabricated circuits is demonstrated up to 12.5 Gbits/s.

Vortices in a trapped dilute Bose-Einstein condensate

“…where (r ⊥ , φ) are two-dimensional cylindrical polar coordinates, and f → 1 for r ⊥ ≫ ξ. Equations (14) and (15) immediately give the local circulating flow velocity…”

Theoretical and experimental investigation of the structure of azimuthal source–sink flow in a rotating shallow water layer

“…[4][5][6][7][8]10,11] and references therein). Since the work by Hide [11], main attention has been directed to flows between two vertical concentric cylinders with source-sink of mass situated on the lateral walls.…”

“…Note that in the studies mentioned above [6][7][8]13,14] the source-sink flows in rotating annulus with moderate aspect ratio (in deep water) were considered. In our study, we consider flows in thin shallow water layer.…”

“…Radial flows inside a concentric source-sink system are transformed into azimuthal (zonal) ones under the action of Coriolis force. The mass source-sink method was widely used by Doljansky et al in the study of Rossby waves and vortex structure in geostrophic flows [6][7][8]13,14].…”

“…Main aspects concerned in this respect are global circulations in the atmosphere and ocean, stability of zonal geostrophic flows and their topographic modifications. The frequently exploited method for generating zonal flows in laboratory studies is a combination of source and sink of mass situated around the rotation axis ("source-sink method" [2,[4][5][6][7][8]10,11,[13][14][15]). Radial flows inside a concentric source-sink system are transformed into azimuthal (zonal) ones under the action of Coriolis force.…”