On the analysis of a non-isothermal model for superconductivity
Abstract
In a mixed state for a type-II superconductor, the movement of vortices and changes in the magnetic field lead to the generation of Joule heat and a temperature gradient, ∇T, within the superconductor. A thermoelectric current due to ∇T can generate hot spots and thermal fluctuations within a sample and consequently affect its ability to carry a superconducting current. To investigate the thermal effects on superconductivity, a model accounting for non-constant temperature is needed to address the dissipation of superconductivity more completely. In my thesis, I analyzed a thermoelectric model for superconductors based on the time dependent Ginzburg-Landau (TDGL) theory, the principles of nonequilibrium thermodynamics and Landau theory of phase transitions. This model is a simplified version of the equations for thermoelastic superconductors derived by S. A. Zhou and K. Miya [21],[22] and by G. Maugin [16].
Degree
Ph.D.
Advisors
Phillips, Purdue University.
Subject Area
Mathematics
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