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Bifurcation theory and order of phase transition for proximity effect sandwiches

✍ Scribed by A. M. Cucolo; S. Pace; F. Zirilli

Book ID
104627712
Publisher
Springer US
Year
1978
Tongue
English
Weight
730 KB
Volume
32
Category
Article
ISSN
0022-2291

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✦ Synopsis

We use bifurcation theory to study the order of the phase transition for inhomogeneous superconducting systems described by the Ginzburg-Landau equations. Complete qualitative information on the behavior near the critical point can be obtained using these techniques of nonlinear analysis and the calculus of variations. We prove in a rigorous way that there is a secondorder phase transition for a normal-superconducting-normal (N-S-N) proximity sandwich. Moreover, in the case of a magnetic-superconductingmagnetic (M-S-M) proximity sandwich we show the dependence of the order of the phase transition on the coupling constant between the magnetic and superconducting order parameters.

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## Abstract First‐order phase transitions are modelled by a non‐homogeneous, time‐dependent scalar‐valued order parameter or phase field. The time dependence of the order parameter is viewed as arising from a balance law of the structure order. The gross motion is disregarded and hence the body is