Stable Thermomagnetic Waves in Hard Superconductors
Nizam A. Taylanov (Institute of Applied Physics, National University, of Uzbekistan)
TL;DR
This paper investigates the stability of nonlinear thermomagnetic waves in hard superconductors, demonstrating that only decaying perturbations are possible, which implies the wave's stability under small thermal and electromagnetic disturbances.
Contribution
The study provides a theoretical analysis showing that nonlinear thermomagnetic waves in hard superconductors are stable against small perturbations, a novel insight into their dynamic behavior.
Findings
Spatially bounded solutions decay over time
Nonlinear thermomagnetic waves are stable
Perturbations do not grow, ensuring wave stability
Abstract
The problem of the stability of a nonlinear thermomagnetic wave with respect to small thermal and electromagnetic perturbations in hard superconductors was studied. It is shown that spatially bounded solutions may correspond only to the perturbations decaying with time, which implies stability of the nonlinear thermomagnetic wave.
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Taxonomy
TopicsHigh-pressure geophysics and materials · Rare-earth and actinide compounds · Quantum, superfluid, helium dynamics