Ebook: Connectivity and superconductivity

"The motto of connectivity and superconductivity is that the solutions of the Ginzburg-Landau equations are qualitatively influenced by the topology of the boundaries, as in multiply-connected samples. Special attentions is paid to the "zero set", the set of positions (usually known as "quantum vortices") where the order parameter vanishes. The effects considered here usually become important in the regime where the coherence length is of the order of the dimensions of the sample. It takes the intuition of physicists and the awareness of mathematicians to find these new effects. In Connectivity and Superconductivity, theoretical and experimental physicists are brought together with pure and applied mathematicians to review these surprising results.This volume is intended to serve as a reference book for graduate students and researchers in physics or mathematics interested in superconductivity, or in the Schrodinger equation as a limiting case of the Ginzburg-Landau equations."--BOOK JACKET. Read more... In the memory of Shlomo Alexander / Pierre-Gilles de Gennes -- Topological considerations in superconductivity / Jacob Rubinstein -- The de Gennes-Alexander theory of superconducting micronetworks / José I. Castro, Arturo López -- Nodal sets, multiplicity and superconductivity in non-simply connected domains / Bernard Helffer ... [et al.] -- Connectivity and flux confinement phenomena in nanostructured superconductors / Victor V. Moshchalkov, Vital Bruyndoncx, Lieve Van Look -- Zero set of the order parameter, especially in rings / Jorge Berger -- Persistent currents in Ginzburg-Landau models / Luís Almeida, Fabrice Bethuel -- On the normal/superconducting phase transition in the presence of large magnetic fields / Peter Sternberg -- On the numerical solution of the time-dependent Ginzburg-Landau equations in multiply connected domains / Gustavo C. Buscaglia, Carlos Bolech, Arturo López -- Formation of vortex-antivortex pairs / Sanatan Digal ... [et al.] -- The order parameter as a macroscopic quantum wavefunction / Antony J. Leggett -- The Ehrenberg-Siday-Aharonov-Bohm effect / Charles G. Kuper -- Connectivity and superconductivity in inhomogeneous structures / Guy Deutscher