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020 _a9783540445326
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024 7 _a10.1007/3-540-44532-3
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072 7 _aSCI040000
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082 0 4 _a530.15
_223
245 1 0 _aConnectivity and Superconductivity
_h[electronic resource] /
_cedited by Jorge Berger, Jacob Rubinstein.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2000.
300 _aXIV, 258 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
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_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v62
505 0 _aIn the Memory of Shlomo Alexander -- Topological Considerations in Superconductivity -- The de Gennes-Alexander Theory of Superconducting Micronetworks -- Nodal Sets, Multiplicity and Superconductivity in Non-simply Connected Domains -- Connectivity and Flux Confinement Phenomena in Nanostructured Superconductors -- Zero Set of the Order Parameter, Especially in Rings -- Persistent Currents in Ginzburg-Landau Models -- On the Normal/Superconducting Phase Transition in the Presence of Large Magnetic Fields -- On the Numerical Solution of the Time-Dependent Ginzburg-Landau Equations in Multiply Connected Domains -- Formation of Vortex-Antivortex Pairs -- The Order Parameter as a Macroscopic Quantum Wavefunction -- The Ehrenberg-Siday-Aharonov-Bohm Effect -- Connectivity and Superconductivity in Inhomogeneous Structures.
520 _aThe 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 attention is paid to the "zero set", the set of the positions (also 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 Schrödinger equation as a limiting case of the Ginzburg--Landau equations.
650 0 _aMathematical physics.
650 0 _aMathematics.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aStrongly Correlated Systems, Superconductivity.
_0http://scigraph.springernature.com/things/product-market-codes/P25064
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
700 1 _aBerger, Jorge.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aRubinstein, Jacob.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642087516
776 0 8 _iPrinted edition:
_z9783540679325
776 0 8 _iPrinted edition:
_z9783662142615
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v62
856 4 0 _uhttps://doi.org/10.1007/3-540-44532-3
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