Forced baroclinic ocean motions: II. The linear equatorial bounded case

This paper extends the results of Cane and Sarachik (1976) to an ocean bounded by two meridians. A complete solution is obtained for the asymptotic linear inviscid response to wind stress and thermal forcings independent of longitude, switched on at t=0 and steady thereafter. The mathematics is greatly simplified by building on the results of the earlier paper. The form of the solution is relatively simple..

Forced baroclinic ocean motions. I. The linear equatorial unbounded case

A method is developed for calculating the response of an unbounded inviscid ocean to wind stress and thermal forcings. Although emphasis is on equatorial baroclinic motions, the mathematical technique is first illustrated in detail for the motions described by the similar but simpler barotropic vorticity equation. This serves to clarify the significance of the asymptotic approximations made for the baroclinic planetary modes...

Forced baroclinic ocean motions, III: The linear equatorial basin case

Previous work on the linear spin-up of an equatorial ocean is extended to include the specific effects of the north-south extent of the basin, thus allowing a detailed comparison of analytic spin-up theory with numerical calculations…

The response of a linear baroclinic equatorial ocean to periodic forcing

This paper examines the response of the linear inviscid shallow water equations on a meridionally infinite but zonally bounded equatorial β-plane to periodic zonal forcings at a low frequency ω…

Valence-bond theory of highly disordered quantum antiferromagnets

We present a large-N variational approach to describe the magnetism of insulating doped semiconductors based on a disorder-generalization of the resonating-valence-bond theory for quantum antiferromagnets. This method captures all the qualitative and even quantitative predictions of the strong-disorder renormalization group approach over the entire experimentally relevant temperature range. Finally, by mapping the problem on a hard-sphere fluid, we could provide an essentially exact analytic solution without any adjustable parameters.Comment: 5 pages, 3 eps figure

Mobility-Dependence of the Critical Density in Two-Dimensional Systems: An Empirical Relation

For five different electron and hole systems in two dimensions (Si MOSFET's, p-GaAs, p-SiGe, n-GaAs and n-AlAs), the critical density, $n_c$ that marks the onset of strong localization is shown to be a single power-law function of the scattering rate $1/\tau$ deduced from the maximum mobility. The resulting curve defines the boundary separating a localized phase from a phase that exhibits metallic behavior. The critical density $n_c \to 0$ in the limit of infinite mobility.Comment: 2 pages, 1 figur