EFFECT OF DOPING ON SUPERCONDUCTIVITY AND CHEMICAL POTENTIAL IN La2-xSrxCuO4

2009 ◽  
Vol 23 (16) ◽  
pp. 3417-3427 ◽  
Author(s):  
B. K. SAHOO ◽  
B. N. PANDA ◽  
G. C. ROUT

We examine the doping dependence of SC gap (Δ) and chemical potential (μ) of the hole-doped cuprates by using the Fulde model. It is assumed that SC arises due to BCS pairing mechanism in lattices of Cu–O planes. The expression for SC, AFM, and doping concentration are calculated analytically by using the Green function technique of D. N. Zubarev. The value of SC gap (Δ) and chemical potential (μ) are solved self-consistently for different model parameters. The variation of critical temperature and chemical potential with doping are also studied.


1987 ◽  
Vol 31 (01) ◽  
pp. 14-22
Author(s):  
Peter Schjeldahl Jensen

The waves created by a thin ship sailing in calm water are examined. The velocity potential of the ship in the zero Froude number case is known and the additional potential due to the waves is calculated by the Green function technique. The simple Green function corresponding to the Rankine source potential is used here. Two major problems exist with this method. In the Neumann-Poisson boundary-value problem- probably the first iteration toward a full nonlinear solution to the ship wave problem _it is necessary to impose a radiation condition in order to get uniqueness. This problem is related to the second one, which arises due to the existence of eigensolutions. The two-dimensional situation is here analyzed first, thereby easing the three-dimensional analysis. A numerical scheme is constructed and results for the twodimensional waves generated by a submerged vortex and for the three-dimensional waves due to the Wigley hull are presented.



1993 ◽  
Vol 50 (11) ◽  
pp. 2491-2512 ◽  
Author(s):  
Carlos A. M. Salvadó

A theoretical framework is proposed for analyzing fish movement and modeling the associated dynamics using tagging data. When tagged fish are released in an area small compared with the domain of the fish population and over a period short compared with the time they take to disperse throughout their domain, the pattern of movement approximates a point-source solution of the underlying population dynamics. A method of point sources (Green functions) is invoked for representing the solution of the tagged and untagged fish field equations (partial differential equations) in terms of integral equations. As an approximate representation of a tagging experiment, the Green function is interpreted as the probability density of survival and movement from point to point in space–time. The Green functions are constructed empirically using one parameter, catchability, as the ratio of population density of tagged fish divided by the number of tagged fish released. The number of tagging experiments necessary to characterize the population is dictated by the dependence of catchability on space–time. The moments of the Green function are used to calculate model parameters and lead to the identification of a closed form expression for the transition probability densities of the model assumed.



1982 ◽  
Vol 60 (3) ◽  
pp. 273-278 ◽  
Author(s):  
M. Tiwari ◽  
R. N. Srivastava

Effects of Ising anisotropy on Curie temperature have been studied in the presence of single ion anisotropy for a spin S = 1 system. The Green function technique with random phase approximation has been used taking into account all possible intersite correlations.



1991 ◽  
Vol 24 (1-2) ◽  
pp. 103-117
Author(s):  
K. Schmidt ◽  
W. D. Kraeft ◽  
N. H. March




2011 ◽  
Vol 669 ◽  
pp. 354-374 ◽  
Author(s):  
P. ECHEVERRI ◽  
T. YOKOSSI ◽  
N. J. BALMFORTH ◽  
T. PEACOCK

A study is presented of the generation of internal tides by barotropic tidal flow over topography in the shape of a double ridge. An iterative map is constructed to expedite the search for the closed ray paths that form wave attractors in this geometry. The map connects the positions along a ray path of consecutive reflections from the surface, which is double-valued owing to the presence of both left- and right-going waves, but which can be made into a genuine one-dimensional map using a checkerboarding algorithm. Calculations are then presented for the steady-state scattering of internal tides from the barotropic tide above the double ridges. The calculations exploit a Green function technique that distributes sources along the topography to generate the scattering, and discretizes in space to calculate the source density via a standard matrix inversion. When attractors are present, the numerical procedure appears to fail, displaying no convergence with the number of grid points used in the spatial discretizations, indicating a failure of the Green function solution. With the addition of dissipation into the problem, these difficulties are avoided, leading to convergent numerical solutions. The paper concludes with a comparison between theory and a laboratory experiment.





2006 ◽  
Vol 6 (4) ◽  
pp. 386-404 ◽  
Author(s):  
Ivan. P. Gavrilyuk ◽  
V.L. Makarov ◽  
V.B. Vasylyk

AbstractWe develop an accurate approximation of the normalized hyperbolic operator sine family generated by a strongly positive operator A in a Banach space X which represents the solution operator for the elliptic boundary value problem. The solution of the corresponding inhomogeneous boundary value problem is found through the solution operator and the Green function. Starting with the Dunford — Cauchy representation for the normalized hyperbolic operator sine family and for the Green function, we then discretize the integrals involved by the exponentially convergent Sinc quadratures involving a short sum of resolvents of A. Our algorithm inherits a two-level parallelism with respect to both the computation of resolvents and the treatment of different values of the spatial variable x ∈ [0, 1].





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