The Bethe-Goldstone integral equation for the effective interaction between two electrons in a two-dlIncnslonal electron gas has bccn solved numcrIcally. Ground-state properties of tlM system have been calculated within the ladder approximation and the results compared with those obtained from other many-body approximations.
The ground-state energy of a one-dimensional fermion system interacting Uia a repulsive 5-function potential is calculated rigorously within the "ladder" approximation as a function of the coupling constant and the results compared with those given by the exact solution of Yang. Comparison with other many-body approximate theories has also been made.The density-density response function has also been calculated in an approximation in which the particle-hole interaction in the polarization bubble is taken into account to all orders. Results of this dynamic theory are compared with those of other approximations.
In biological pattern formation, chemotaxis and cell adhesion are essential. However, we lack quantitative data and a theory to understand their coordination. The cellular dynamics theory presented can clarify how Dictyostelium discoideum amoebae use diffusible cyclic adenosine 3 0 ,5 0 -monophosphate, and coordinate chemotaxis and cell adhesion during aggregation. [S0031-9007(98)
We clarify the mechanism of leakage current through the nanoscale ultrathin silicon dioxide (SiO2) layer in a metal-insulator-semiconductor structure based on the multiple scattering theory when technologically important phosphorus doped polycrystalline silicon is adopted as the gate electrode. We also derive an analytic expression for the direct tunneling current, and show that its measurement presents an excellent opportunity to determine the effective mass of an electron in the SiO2.
A new stall model to describe rotating stall in axial-flow compressors is established, where blade rows are replaced by semiactuator disks, flow fluctuations are permitted to be finite and nonsteady, and blade row characteristics are taken into consideration in nonlinear and nonsteady forms. Through numerical analysis using the finite difference method, it is attempted to make clear the aspects of rotating stall—such as number of stall cells, stall propagation velocity, wave shape and magnitude of disturbance and their variations with flow rate through the compressor, and the mechanisms which control them. Most of the aims are achieved by taking into consideration the effects of blade row interference and the nonlinearities of blade row characteristics.
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