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High temperature limit for ceramics on the copper for transport systems based on magnetic levitation
Author(s) -
Alexandr G Syromyatnikov
Publication year - 2016
Publication title -
transportnye sistemy i tehnologii
Language(s) - English
Resource type - Journals
ISSN - 2413-9203
DOI - 10.17816/transsyst20162460-76
Subject(s) - superconductivity , condensed matter physics , solid solution , lattice (music) , integral equation , phase diagram , copper , physics , thermodynamics , chemistry , mathematics , quantum mechanics , mathematical analysis , phase (matter) , acoustics , organic chemistry
The article talked about the properties of high-temperature ceramics to copper for transport systems on a magnetolevitation basis. Introduction: On the method of secondary quantization in the diagram technique [1] for the four Fermion interaction with potential with a solid core of [2-3] considered the phase transition at high temperatures. Summation of diagrams of perturbation theory was in its most general form. The transition to the high temperature limit is produced directly in the main equation of superconductivity for the energy gap, which causes this equation to a linear integral equation. Most solved exactly. Twice the value of core wired with lattice parameter for the number of compounds on copper. Shows the results of applying this approach in various critical temperatures. Objective: Development of the theory of high-temperature ceramics to copper for transport systems on a magnetolevitation basis. Method: In order to achieve this goal have been used the method in the diagram technique [1] for the four Fermion interaction with potential with a solid core of [2-3]. Twice the value of core wired with lattice parameter for the number of compounds on copper. Lattice parameters, etc. taken from the book [4]. The transition to the high temperature limit is produced directly in the main equation of superconductivity for the energy gap, which causes this equation to a linear integral equation. Most solved exactly. Definition of energy formation benefit this condensate is produced by calculating the correlative thermodynamic potential. Results: 1. the exact solution is obtained for the basic equation of superconductivity for energy gap in high temperature limit in volume, distributed (focused) on a sphere with some radius which is in back proportional to the critical temperature; the calculation of correlation for thermodynamic potential showed energy advantage formation such a condensate; 2. the exact solution of the basic equation of superconductivity for energy gap allows a whole series of further decisions with less in an integer times temperatures as in table 18 in book [4]; 3. presents the results of detailed calculation of parameters for four types of high-temperature ceramics on copper at different critical temperatures; the effective interaction coupling ge has order of the Fermi weak interactions coupling in three orders of magnitude weaker than the electromagnetic one. Conclusion: As a result of the research was developed the theory of high-temperature ceramics to copper for transport systems on a magnetolevitation basis. Superconducting condensate is localized at the surface of spheres of a discrete radius which is in inversely proportional to the critical temperature. Found that the pit depth ratio U = ge/Re to the critical temperature is incorporated in all cases to a constant value equal to 0.880 within allowable dispersion of 0.11.

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