The self-consistent mean spherical approximation for the one-component plasma

1983 ◽  
Vol 32 (1) ◽  
pp. 123-139 ◽  
Author(s):  
David MacGowan
Keyword(s):  
The Self ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Self Consistent ◽  
Component Plasma ◽  
The One

Spin-Wave Spectrum in the Sinusoidal Superlattice with Amplitude and Phase Inhomogeneities

2014 ◽  
Vol 215 ◽  
pp. 385-388
Author(s):  
Valter A. Ignatchenko ◽  
Denis S. Tsikalov
Keyword(s):  
Spin Wave ◽  
Density Of States ◽  
Wave Spectrum ◽  
The Self ◽  
One Dimensional ◽  
Consistent Approximation ◽  
Self Consistent ◽  
Greens Function ◽  
The One ◽  
Spin Wave Spectrum

Effects of both the phase and the amplitude inhomogeneities of different dimensionalities on the Greens function and on the one-dimensional density of states of spin waves in the sinusoidal superlattice have been studied. Processes of multiple scattering of waves from inhomogeneities have been taken into account in the self-consistent approximation.

Self-Consistent Hole Motion and Spin Excitations in A Quantum Antiferromagnet

1989 ◽  
Vol 03 (12) ◽  
pp. 1913-1932 ◽  
Author(s):  
Z.B. Su ◽  
Y.M. Li ◽  
W.Y. Lai ◽  
L. Yu
Keyword(s):  
The Self ◽  
Spin Excitation ◽  
Spin Correlations ◽  
Local Distortion ◽  
Spin Excitations ◽  
Self Consistent ◽  
The Stability ◽  
The One ◽  
Quantum Antiferromagnet ◽  
Self Consistency

A new quantum Bogoliubov-de Gennes (BdeG) formalism is developed to study the self-consistent motion of holes and spin excitations in a quantum antiferromagnet within the generalized t-J model. On the one hand, the effects of local distortion of spin configurations and the renormalization of the hole motion due to virtual excitations of the distorted spin background are treated on an equal footing to obtain the hole wave function and its spectrum, as well as the effective mass for a propagating hole. On the other hand, the change of the spin excitation spectrum and the spin correlations due to the presence of dynamical holes are studied within the same adiabatic approximation. The stability of the hole states with respect to such changes justifies the self-consistency of the proposed formalism.

Asymptotics toward a nonlinear wave for an outflow problem of a model of viscous ions motion

2017 ◽  
Vol 27 (11) ◽  
pp. 2111-2145 ◽  
Author(s):  
Yeping Li ◽  
Peicheng Zhu
Keyword(s):  
Nonlinear Wave ◽  
The Self ◽  
Navier Stokes ◽  
Asymptotically Stable ◽  
Spatial Decay ◽  
Main Ingredient ◽  
One Dimensional ◽  
Poisson Equations ◽  
Self Consistent ◽  
The One

We shall investigate the asymptotic stability, toward a nonlinear wave, of the solution to an outflow problem for the one-dimensional compressible Navier–Stokes–Poisson equations. First, we construct this nonlinear wave which, under suitable assumptions, is the superposition of a stationary solution and a rarefaction wave. Then it is shown that the nonlinear wave is asymptotically stable in the case that the initial data are a suitably small perturbation of the nonlinear wave. The main ingredient of the proof is the [Formula: see text]-energy method that takes into account both the effect of the self-consistent electrostatic potential and the spatial decay of the stationary part of the nonlinear wave.

Vacancies in close-packed polyvalent metals

1970 ◽  
Vol 316 (1525) ◽  
pp. 201-222 ◽  
Keyword(s):  
Bloch Wave ◽  
Wave Functions ◽  
The Self ◽  
Radial Wave ◽  
Conduction Electrons ◽  
Self Energy ◽  
Crystal Density ◽  
Self Consistent ◽  
The One ◽  
Formation Energies

The difference in total energy of a crystal with and without a vacancy involves essentially three terms: (i) The change in the one-electron eigenvalues due to scattering of conduction electrons off the vacant site. (ii) The self-energy of the displaced charge. (iii) The change in exchange and correlation energies of the electron gas. We have investigated the contributions (i) to (iii) for Cu, Mg, Al and Pb. The change in the one-electron eigenvalues is shown to be insensitive to the Bloch wave character of the wave functions and also to the choice of the repulsive potential V ( r ) representing the effect of the vacancy on the conduction electrons. There is thus no difficulty in evaluating contribution (i) for metals of different valencies. In contrast, the self-energy of the displaced charge is shown to depend very sensitively on the choice of V ( r ), and it is, therefore, essential to make the calculation self-consistent. This we have done by properly screening the negative of the point ion fields for Cu + to Pb 4+ . The radial wave functions and phase shifts for the low order partial waves have been evaluated, and self-consistent displaced charges obtained. The exchange energy has been estimated from a Dirac–Slater type of approximation and is again not sensitive to the detailed form of the displaced charge, while the change in correlation energy is found to be unimportant in determining the vacancy formation energy. The formation energies for the polyvalent metals are in satisfactory agreement with experiment. Some results for excess resistivities due to vacancies in metals are also presented. Here, in contrast to the calculation of the formation energies, it is essential to account for the Bloch wave character of the electron waves scattered by the vacancy. It is also proposed that the displaced charge round a vacancy may be a useful building block (or pseudoatom) for forming the crystal density.

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