El Naschie's superconductivity in the time dependent Ginzburg-Landau model
- 1. Institute of Technical Physics, D. Mangeron 47, Iasi 700050 (Romania)
- 2. Technical University 'Gh. Asachi', Department of Physics, D. Mangeron 43, Iasi 700050 (Romania)
- 3. Technical University 'Gh. Asachi', Faculty of Material Science and Engineering, D. Mangeron 43, Iasi 700050 (Romania)
Description
One obtain various interesting results if one introduces the hydrodynamic formulation of scale relativity theory (SRT), for a coherent quantum fluid, into the time dependent Ginzburg-Landau (TDGL) equation, which describes superconductivity. The London gauge and the zero momentum of the Copper pairs (i.e. the London equations) arise naturally from the imaginary parts of the computed system. One obtains a particular relation between the diffusion coefficient, the (dimensionless) friction coefficient and the (dimensionless) Ginzburg-Landau parameter which yields a new natural gauge for the TDGL equation (as postulated by some authors). If the value of the real velocity of the Copper pairs tends to zero, the imaginary velocity of the pairs becomes real. The subquantum potential is proportional to the density of the Copper pairs. Moreover, under special circumstances, the superconductor acts as a subquantum medium energy accumulator. In this context, we discuss a certain special coherence of the Cooper-pairs by means of ε (∞) space-time (El Naschie's superconductivity)
Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2006.03.122;
- PII
- S0960-0779(06)00356-0;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 34
- Journal Issue
- 4
- Journal Page Range
- p. 1060-1074
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39005853
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COOPER PAIRS; FRICTION FACTOR; GINZBURG-LANDAU THEORY; LONDON EQUATION; QUANTUM FLUIDS; RELATIVITY THEORY; SPACE-TIME; SUPERCONDUCTIVITY; SUPERCONDUCTORS; TIME DEPENDENCE
- Descriptors DEC
- DIMENSIONLESS NUMBERS; ELECTRIC CONDUCTIVITY; ELECTRICAL PROPERTIES; EQUATIONS; FLUIDS; PHYSICAL PROPERTIES
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.