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Phase transitions in moving systems.

¹Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 5, 2004

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This study analyzes stability criteria for supercritical Ginzburg-Landau equations in moving media, correlating findings with vortex propagation experiments in superconducting films under bias current. The research considers various convective velocities and discusses the impact of finite sample size.

Area of Science:

Nonlinear dynamics
Condensed matter physics
Superconductivity

Background:

The Ginzburg-Landau equations describe superconductivity.
Understanding vortex dynamics in moving media is crucial for applications.
Previous studies often simplified convective velocity profiles.

Purpose of the Study:

To establish general stability criteria for supercritical Ginzburg-Landau equations in time- and space-varying convective flows.
To correlate theoretical stability criteria with experimental observations of vortex propagation.
To investigate the influence of finite sample size on stability.

Main Methods:

Analytical investigation of stability criteria for the Ginzburg-Landau equations.
Numerical simulations of vortex dynamics under different convective velocity profiles.

Related Experiment Videos

Comparison of theoretical predictions with experimental data from superconducting films.

Main Results:

Identified stability criteria for supercritical Ginzburg-Landau equations with complex convective velocities.
Demonstrated good agreement between theoretical stability limits and experimental vortex propagation behavior.
Quantified the effect of finite sample size on the stability of superconducting films.

Conclusions:

The derived stability criteria accurately predict vortex behavior in superconducting films.
Convective velocity's spatio-temporal variations significantly impact system stability.
Finite sample size plays a critical role in determining stability boundaries.