We present an analytical expression for the growth rate of the E X B instability in the long wavelength limit, i.e., k sub y L sub n always less than 1, where k sub y is the wavenumber and L sub n is the scale length of the density gradient. Specifically, we obtain results for...
It is demonstrated that the collective and single particle responses of simple metals in the extreme long wavelength limit become identical. When applied to alternative models of a metallic slab, this duality proves equivalence of the plasma frequency and the surface energy barrier, which confines ele...
We present the first detailed numerical study of the Toda equations in $2+1$dimensions in the limit of long wavelengths, both for the hyperbolic andelliptic case. We first study the formal dispersionless limit of the Todaequations and solve initial value problems for the resulting system up to...
The spectrum of plasma oscillations in a transition-metal dichalcogenide monolayer strip (planar quantum wire) has been found. In the long-wavelength limit, in addition to the usual one-dimensional plasmon branch, a second branch with a linear dispersion relation appears due to the intervalley ...
Such curves, whose limit is the cycloid (the point is on the circumference of the circle) are known as prolate cycloids or trochoids. The curve can be traced out by the reader by cutting out a cardboard disc with a hole in it and inserting a pencil into the hole while rolling the ...
We present an effective medium theory that simultaneously determines the effective permittivity and effective permeability of a magnetodielectric composite beyond the long-wavelength limit. In the long-wavelength limit, our theory reproduces previous results obtained in two and three dimensions. To verify...
Above-threshold ionization in the long-wavelength limit. Phys. Rev. Lett. 62, 1259 (1989). Article CAS ADS Google Scholar Schafer, K. J., Yang, B., DiMauro, L. F. & Kulander, K. C. Above threshold ionization beyond the high harmonic cutoff. Phys. Rev. Lett. 70, 1599 (1993)...
In this paper, we consider the long wavelength limit for the quantum Euler--Poisson equation. Under the Gardner--Morikawa transform, we derive the quantum Korteweg--de Vries (KdV) equation by a reductive perturbation method. We show that the KdV dynamics can be seen at time interval of order...
Studies by Jay and colleagues have demonstrated that this photoinduced destruction of enzymes in the immediate vicinity of the chromophore is apparently the result of localized production of hydroxyl radicals, which have short lifeti...
Studies by Jay and colleagues have demonstrated that this photoinduced destruction of enzymes in the immediate vicinity of the chromophore is apparently the result of localized production of hydroxyl radicals, which have short lifeti...