The thermal decomposition of ammonium perchlorate II. The kinetics of the decomposition, the effect of particle size, and discussion of results

1955 ◽  
Vol 227 (1169) ◽  
pp. 214-228 ◽  
Keyword(s):  
Thermal Decomposition ◽  
The Self ◽  
Lattice Vibrations ◽  
Coupling Constant ◽  
One Dimensional ◽  
Self Consistent ◽  
Second Order Transition ◽  
Consistent Method ◽  
Effect Of Particle Size ◽  
Kinetics Of

Fröhlich has shown that a one-dimensional metal, at absolute zero, can exhibit certain of the properties of a superconductor when the interaction between the lattice vibrations and the electrons is sufficiently strong. The self-consistent method used by him is extended to finite temperatures, and the specific heat is calculated. It is shown that the model exhibits a second-order transition at a temperature which is related to the magnitude of the coupling constant. The approximations demand a coupling constant which is much larger than that of any real metal.

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.

On the thermal ionization of trapped electrons in ionic solids

1955 ◽  
Vol 231 (1186) ◽  
pp. 308-320 ◽  
Keyword(s):  
Ground State ◽  
High Frequency ◽  
Ionic Crystal ◽  
Dielectric Constants ◽  
Variation Method ◽  
Lattice Vibrations ◽  
Appreciable Difference ◽  
Ionic Solids ◽  
Self Consistent ◽  
Consistent Method

The ground state of an electron trapped at a defect of the interstitial ion type in an ionic crystal is determined by a variation method in which the interaction between electron and lattice vibrations is treated on a dynamic basis. The results are com pared with static calculations using a self-consistent method, and it is shown that for certain ranges of the low- and high-frequency dielectric constants an appreciable difference in energy may occur.

scholarly journals Radiative corrections and instability of large Q-balls

2017 ◽  
Vol 32 (37) ◽  
pp. 1750198 ◽  
Author(s):  
A. V. Kovtun ◽  
E. Ya. Nugaev
Keyword(s):  
The Self ◽  
Radiative Corrections ◽  
Coupling Constant ◽  
Small Coupling ◽  
Classical Stability ◽  
Small Coupling Constant ◽  
Self Consistent ◽  
Stable Solutions ◽  
Charge Formula

We discuss stability of Q-balls interacting with fermions in theory with small coupling constant [Formula: see text]. We argue that for configurations with large global U(1)-charge [Formula: see text], the problem of classical stability becomes more subtle. For example, in model with flat direction there is maximal value of charge for stable solutions with [Formula: see text]. This result may be crucial for the self-consistent consideration of Q-ball evaporation into the fermions. We study the origin of additional instability and discuss possible ways to avoid it.

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.

Self-consistent estimates for the viscoelastic creep compliances of composite materials

1978 ◽  
Vol 359 (1697) ◽  
pp. 251-273 ◽  
Keyword(s):  
Composite Materials ◽  
Numerical Solutions ◽  
The Self ◽  
Inclusion Problem ◽  
Inclusion Problems ◽  
Viscoelastic Creep ◽  
Self Consistent ◽  
Title Problem ◽  
Consistent Method ◽  
Selection Of

In this paper the viscoelastic creep compliances of various composites are estimated by the self-consistent method. The phases may be arbitrarily anisotropic and in any concentrations but we demand that one of the phases be a matrix and the remaining phases consist of ellipsoidal inclusions. The theory is succinctly formulated with the help of Stieltjes convolutions. In order to solve the title problem, we first solve the misfitting viscoelastic inclusion problem. Numerical solutions are given for a selection of inclusion problems and for two common composite materials, namely an isotropic dispersion of spheres, and a uni-directional fibre reinforced material.

scholarly journals Sinc-Self-consistent method to solve a class of nonlinear eigenvalue differential equation

2021 ◽  
Author(s):  
Seyed Mohammad Ali Aleomraninejad ◽  
Mehdi Solaimani
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Subsequent Development ◽  
The Self ◽  
Infinite Domain ◽  
Numerical Examples ◽  
Smallest Eigenvalue ◽  
Sinc Methods ◽  
Self Consistent ◽  
Consistent Method

In this paper, we combine the sinc and self-consistent methods to solve a class of non-linear eigenvalue differential equations. Some properties of the self-consistent and sinc methods required for our subsequent development are given and employed. Numerical examples are included to demonstrate the validity and applicability of the introduced technique and a comparison is made with the existing results. The method is easy to implement and yields accurate results. We show that the sinc-self-consistent method can solve the equations on an infinite domain and produces the smallest eigenvalue with the most accuracy

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