Scaling Behavior of Quasi-One-Dimensional Vortex Avalanches in Superconducting Films

Qviller, Atle Jorstad; Qureishy, Thomas; Xu, Youwen; Suo, Hong Li; Mozhaev, P.B.; Hansen, Jørn Bindslev; Vestgården, Jørn Inge; Johansen, T. H.; Mikheenko, P.

doi:10.1038/s41598-020-62601-y

Cited by 4 publications

(3 citation statements)

References 46 publications

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“…Furthermore, this experience is considered in the book [7]. Another amazing example is the statistics of vortex avalanches (magnetic flux avalanches) in high-temperature superconductors [36]. All this suggests the idea of the applicability of the R´enyi distribution to a wide range of systems and phenomena.…”

Section: Generalization Of the Power-law Distributionmentioning

confidence: 99%

Certain Relations in Statistical Physics Based on Rényi Entropy

2020

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The statistical theory based on the parametric family of Rényi entropy functionals is a generalization of Gibbs statistics. Depending on the value of the involved parameter, the corresponding Rényi distribution can take both an exponential form and a power-law form, which is typical for a wide range of statistical models. In this paper, we prove the energy equipartition theorem in the case of Rényi statistics, which makes it possible to solve the problem of obtaining the average energy for a large number of classical statistical models. The proposed approach for calculating the average energy is compared with the procedure for directly calculating this quantity for a system described by the simplest power-low Hamiltonian. New relations are presented that simplify the calculations in the considered theory. A special case of the Rényi distribution, which represents a generalization of a power-low distribution and thus allows us to approximate some empirical data more precisely, has been studied.

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Section: Generalization Of the Power-law Distributionmentioning

confidence: 99%

Certain Relations in Statistical Physics Based on Rényi Entropy

2020

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“…Within inhomogeneous SC films patterned with arrays of antidots [ 25 , 26 , 28 ], blind holes [ 27 , 29 ] and insulating particles [ 30 ], it is found that inhomogeneities strongly modify the current carrying capacity and dramatically change the flux avalanche patterns. Quantitative MOI measurements of the vortex avalanches in SC films show that the probability distributions of avalanche sizes follow power laws and demonstrate finite-size scaling [ 31 , 32 ]. In a recently-developed hypervelocity MOI system with two branches of pulsed laser, it is found that optically triggered vortex avalanches are driven by magnetic pressure and showed SOC and chaotic dynamics different from that commonly found [ 33 ].…”

Section: Introductionmentioning

confidence: 99%

Effects of edge cracks on the thermomagnetic instabilities of type-II superconducting thin films

Jing

2023

National Science Review

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Thermomagnetic instability is a crucial issue for the application of superconductors. Effects of edge cracks on the thermomagnetic instability of superconducting thin films are systematically investigated in this work. Dendritic flux avalanches in thin films are well reproduced through electrodynamics simulations, and relevant physical mechanisms are revealed from dissipative vortex dynamics simulations. It is found that edge cracks sharply decrease the threshold field for the thermomagnetic instability of superconducting films. The spectrum analysis shows that the time series of magnetization jumping displays scale-invariance and follows a power law with an exponent around 1.9. In a cracked film, flux jumps more frequently with lower amplitudes compared with its crack-less counterpart. As the crack extends, the threshold field decreases, the jumping frequency gets lower, while its magnitude gets larger. When the crack extends long enough, the threshold field increases to even larger than that of the crack-less film. This counterintuitive result originates from the transition of the thermomagnetic instability triggered at the crack tip to the one triggered at the center of crack edges, which is also validated by the multifractal spectrum of magnetization jumping sequences. In addition, three different modes of vortex motion are found with the variation of crack lengths, which explains the different flux patterns formed in the avalanche process.

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“…Avalanche flux dynamics in thin films, with penetration field depth greater than their thickness, attracts special attention because of several phenomena, recently discovered by means of magneto-optic, including dendritic flux patterns [ 18 , 19 , 20 , 21 , 22 , 23 , 24 ]. Such avalanches consist of sharp impulses of the magnetic flux rushing into the specimen.…”

Section: Introductionmentioning

confidence: 99%

Multi-Steps Magnetic Flux Entrance/Exit at Thermomagnetic Avalanches in the Plates of Hard Superconductors

Chabanenko

Puźniak

2022

Materials

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Avalanche cascades of magnetic flux have been detected at thermomagnetic instability of the critical state in the plates of Nb-Ti alloy. It was found that, the magnetic flux Φ enters conventional superconductor in screening regime and leaves in trapping regime in the form of a multistage “stairways”, with the structure dependent on the magnetic field strength and magnetic history, with approximately equal successive portions ΔΦ in temporal Φ(t) dependence, and with the width depending almost linearly on the plate thickness. The steady generation of cascades was observed for the full remagnetization cycle in the field of 2–4 T. The structure of inductive signal becomes complex already in the field of 0–2 T and it was shown, on the base of Fourier analysis, that, the avalanche flux dynamic produces, in this field range, multiple harmonics of the electric field. The physical reason of complex spectrum of the low-field avalanche dynamics can be associated with rough structure of moving flux front and with inhomogeneous relief of induction. It was established that the initiation of cascades occurs mainly in the central part of the lateral surface. The mechanism of cascades generation seems to be connected to the “resonator’s properties” of the plates.

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Scaling Behavior of Quasi-One-Dimensional Vortex Avalanches in Superconducting Films

Cited by 4 publications

References 46 publications

Certain Relations in Statistical Physics Based on Rényi Entropy

Certain Relations in Statistical Physics Based on Rényi Entropy

Effects of edge cracks on the thermomagnetic instabilities of type-II superconducting thin films

Multi-Steps Magnetic Flux Entrance/Exit at Thermomagnetic Avalanches in the Plates of Hard Superconductors

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