Die Methode der Korrelationsfunktion in der Theorie der Supraleitung

1966 ◽  
Vol 21 (11) ◽  
pp. 1842-1849 ◽  
Author(s):  
Gerhart Lüders
Keyword(s):  
Correlation Function ◽  
Transition Temperature ◽  
Boltzmann Equation ◽  
Concentration Dependence ◽  
Diffusion Approximation ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
The Boltzmann Equation ◽  
Paramagnetic Impurities ◽  
Method Of Correlation

The method of correlation function is extended to the case of paramagnetic impurities. The BOLTZMANN equation is obtained and subsequently applied to a derivation of the concentration dependence of the transition temperature, of the linearized GINZBURG—LANDAU equation, and of the diffusion approximation.

Die Methode der Korrelationsfunktion in der Theorie der Supraleitung

1966 ◽  
Vol 21 (9) ◽  
pp. 1415-1425 ◽  
Author(s):  
Gerhart Lüders
Keyword(s):  
Magnetic Field ◽  
Correlation Function ◽  
Diffusion Approximation ◽  
Landau Equation ◽  
Isotropic Scattering ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Special Cases ◽  
Method Of Correlation

The method of correlation function is, without complete justification, extended to superconductors in the presence of a magnetic field. Applying this method, we derive the linearized and generalized GINZBURG—LANDAU equation and DE GENNES’ diffusion approximation in simple way. The results agree with those obtained previously by DE GENNES, GORKOV, MAKI, TEWORDT, and others. In special cases (no magnetic field, pure superconductor or isotropic scattering) they can also be derived from WERTHAMER’S kernel. In connection with this kernel, we discuss the limits of validity of both the linearized and generalized GINZBURG—LANDAU equation and of the diffusion approximation.

Ginzburg–Landau Equations for a d-Wave Superconductor with Paramagnetic Impurities

1998 ◽  
Vol 12 (10) ◽  
pp. 1069-1095 ◽  
Author(s):  
Wonkee Kim ◽  
C. S. Ting
Keyword(s):  
Transition Temperature ◽  
Born Approximation ◽  
Wave Interaction ◽  
London Penetration Depth ◽  
S Wave ◽  
Ginzburg Landau ◽  
Paramagnetic Impurities ◽  
Wave Symmetry ◽  
Ginzburg Landau Equations ◽  
D Wave

Ginzburg–Landau (GL) equations for a d-wave superconductor with a repulsive s-wave interaction between electrons in the presence of paramagnetic impurities are microscopically derived based on the Born approximation. The diagrammatic relationships for the impurity-averaged product of Green's functions are algebraically established. The effect of paramagnetic impurities on the transition temperature and the London penetration depth are discussed. GL equations for a superconductor with both s-wave and d-wave pairing interactions are also examined. We show that the transition temperature for a superconductor with an s-wave symmetry is suppressed twice as rapidly as that with a d-wave symmetry in the dilute impurity limit if the strength of the spin-non-flip scattering is much weaker than the spin-flip interaction.

stability of the Boltzmann equation and Landau equation with soft potentials

2010 ◽  
Vol 215 (10) ◽  
pp. 3721-3730 ◽  
Author(s):  
Xuan Ma ◽  
Shuangqian Liu
Keyword(s):  
Boltzmann Equation ◽  
Landau Equation ◽  
The Boltzmann Equation

Stochastic solution of the Boltzmann equation for thermal electrons in an attractive Coulombic potential

1969 ◽  
Vol 3 (3) ◽  
pp. 377-385
Author(s):  
M. J. Bell ◽  
M. D. Kostin
Keyword(s):  
Distribution Function ◽  
Boltzmann Equation ◽  
Diffusion Approximation ◽  
Stochastic Method ◽  
Free Electrons ◽  
The Boltzmann Equation ◽  
Stochastic Solution ◽  
Positive Ion ◽  
Fokker Planck

A stochastic method has been employed to investigate the distribution function of free electrons in gases in the field of a positive ion. Stochastic results have been obtained for several pressures and for both large (Langevin) and small ions, and the results have been compared with the solutions of the diffusion approximation and Pitaevskii's Fokker—Planck approximation to the Boltzmann equation.

On the diffusion approximation of the Boltzmann equation for slow electrons

1979 ◽  
Vol 50 (5) ◽  
pp. 3185-3188 ◽  
Author(s):  
J. H. Jacob ◽  
B. N. Srivastava ◽  
M. Rokni ◽  
J. A. Mangano
Keyword(s):  
Boltzmann Equation ◽  
Diffusion Approximation ◽  
The Boltzmann Equation ◽  
Slow Electrons

Study of the Instability of Wave Packets in Fluidized-Bed Furnaces within the Framework of Ginzburg–Landau Equation

2003 ◽  
Vol 34 (1-2) ◽  
pp. 7
Author(s):  
I. V. Elyukhina ◽  
E. V. Toropov ◽  
G. F. Kuznetsov
Keyword(s):  
Fluidized Bed ◽  
Landau Equation ◽  
Wave Packets ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Evaluation of Various Types of Wall Boundary Conditions for the Boltzmann Equation

2011 ◽  
Author(s):  
Christopher Wilson ◽  
Ramesh Agarwal ◽  
Felix Tcheremissine
Keyword(s):  
Boltzmann Equation ◽  
Boundary Conditions ◽  
Wall Boundary ◽  
The Boltzmann Equation ◽  
Wall Boundary Conditions
Sign in / Sign up

Export Citation Format

Share Document