Stability and bifurcation analysis of nonequilibrium superconducting state under high quasiparticle injection

Based on the theory in [9], the stability of steady-state solutions is established, the critical curve which describes the transition of steady-state solution from stable to unstable is found. Under certain conditions, a Hopf bifurcation occurs, the stable steady-state solution will change to tempor...

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Bibliographic Details
Published in:Solid state communications 1986, Vol.57 (2), p.119-122
Main Authors: Chen, Xiao-lan, Wang, You-qin, Ge, Yu-zhen, Chen, Shi-gang
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Exact sciences and technology
Physics
Superconductivity
Theory and models of superconducting state
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Summary:Based on the theory in [9], the stability of steady-state solutions is established, the critical curve which describes the transition of steady-state solution from stable to unstable is found. Under certain conditions, a Hopf bifurcation occurs, the stable steady-state solution will change to temporal periodic solution, the amplitude A increases linearly with order parameter near the Hopf bifurcation. In the neighbourhood of the critical point from first-order phase transition to second-order phase transition, new singularity appears in both the amplitude and the period of the temporal periodic oscillation. It provides a more convenient condition for the search of temporal periodic oscillation and chaotic behaviour in experiments.
ISSN:0038-1098
1879-2766
DOI:10.1016/0038-1098(86)90525-9