semi-linear elliptic problem arising in the theory of superconductivity
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semi-linear elliptic problem arising in the theory of superconductivity by G. N. Bennett

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Published .
Written in English


Book details:

Edition Notes

D.Phil. 2001. BLDSC DXN041181.

Statement[by] G. N. Bennett.
SeriesSussex theses ; S 5047
ID Numbers
Open LibraryOL18928409M

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JOURNAL OF DIFFERENTIAL EQUATI () A Semilinear Parabolic System Arising in the Theory of Superconductivity* K. J. BROWN, P. C. DUNNE, AND R. A. GARDNER1^ Heriot-Watt University, Riccarton, Currie, Cited by: We study a semilinear fourth order elliptic problem with exponential nonlinearity. Motivated by a question raised in [P.-L. Lions, SIAM Rev., 24 (), pp. ], we partially extend results known for the corresponding second order l new difficulties arise and many problems still remain to be by: H Berestycki, A Bonnet, J ChapmanA semi-elliptic system arising in the theory of type-II superconductivity Comm. Appl. Nonlinear Anal., Vol. 1 (3) (), pp. Google ScholarCited by: Domain perturbation for linear and semi-linear boundary value problems 3 1. Introduction The purpose of this survey is to look at elliptic boundary value problems Anu = f in n, Bnu = 0on∂ n with all major types of boundary conditions on a sequence of open sets n in RN (N ≥ 2). We then study conditions under which the solutions converge to a.

The existing phenomenological theory of superconductivity is unsatisfactory, since it does not allow us to determine the surface tension at the boundary between the normal and the superconducting phases, and does not allow for the possibility to describe correctly the destruction of superconductivity by a magnetic field or by: Superconductivity is somewhat related to the phenomena of superfluidity (in He-3 and He-4) and Bose-Einstein condensation (in weakly interacting boson systems). The similarities are found to lie more in the ffe low- energy description than in the microscopic Size: KB. superconductivity. However, in the wake of the high-temperature superconductivity ‘revolution’, one particular adaptation of Hubbard’s original model called the t–J model (originally arising in the context of doped Mott–Hubbard insulators) emerged as a compelling candidate for hosting a superconducting state. A rigorous proof.   Macroscopic theory of superconductivity valid for magnetic fields of arbitrary magnitude and the behaviour of superconductors in weak high frequency fields are discussed. The problem of formulating a microscopic theory of superconductivity is also by:

Much of the physics involved in the BCS theory can be discussed in the context of a simple quantum mechanics problem. Consider two electrons that interact with each other via an attractive potential V(r 1 r 2). TheSchrödingerequationisgivenby: 1 ~2r2 r 2m 2 ~2r2 r 2m + V(r 1 r 2) (r 1;r 2) = E (r 1;r 2) (16) where (r 1;r 2) is the wave-function and E, the energy. As usual, . theory of superconductivity was one of the hardest problems in physics of the 20th century. In light of the topic of this article, it is not without a sense of irony that the original discovery by Kamerlingh Onnes seems to have been motivated, at least in part, by an incorrect theory itself, proposed by another highly influential by: Schrieffers's book is valuable not only to study the theory of the superconductivity in the field theoretic language, but also to learn the normal Fermi liquid state by using Green's functions. Actually the chapter on the introduction to Green's function is really good, and a very concise discussion on RPA results and plasmon theory are given there/5(6). 4 New theory of superconductivity. Method equilibrium density matrix come to the conditional extreme problem. In order to solve this problem by Lagrange’s method, let us compose the auxiliary functional Ω = E −S T −µ X n wn − X n,n′ X α Ψ∗ αnνnn′ Ψαn′, (16) where µ and νnn′ are undetermined by: 5.