Spiral-pattern formation and multistability in Landau-Ginzburg systems

Tuszyński, J. A.; Otwinowski, M.; Dixon, J.M.

doi:10.1103/physrevb.44.9201

Cited by 15 publications

(6 citation statements)

References 38 publications

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“…The critical current density versus temperature is almost linear. This is confirmed by the fit of the experimental data with the general dependence of J c (T ) exhibited by granular superconductors, J c ∝ (1 − T /T cJ ) α one obtains the coefficients α ≈ 1 and T cJ = 83.9 K. The quasilinear behaviour in HTSs has also been reported by other authors [28][29][30][31].…”

Section: Resultssupporting

confidence: 86%

Modelling of the magnetic behaviour of random granular superconductors by the single junction model

Andrzejewski¹,

Guilmeau²,

Simon³

2001

Supercond. Sci. Technol.

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The magnetic measurements of the Josephson critical field and intergranular critical currents are presented for the Bi2223 compound. The investigations prove that the Josephson critical field value is mainly dependent on the intergranular critical current density. The other factors like the grain dimensions and shapes, sample porosity and density are less important. The relation between the Josephson critical field and critical current H cJ (J c ) is well described within the single junction model, H cj ∝ J c λ J . The temperature dependence of H cJ can also be well fitted according to the single junction model with a critical current dependence, J c ∝ (1 − T /T cJ ) α . The critical current density versus temperature is almost linear indicating the presence of superconductor-insulator-superconductor (SIS) type junctions.

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Section: Resultssupporting

confidence: 86%

Modelling of the magnetic behaviour of random granular superconductors by the single junction model

Andrzejewski¹,

Guilmeau²,

Simon³

2001

Supercond. Sci. Technol.

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“…These numerical results show that the flux bundle creep is dominant below T ∼ 40 K ∼ αT cj /β and thermal decays of pinning potentials have larger weight in the intermediate T region between about 40 and 80 K for the suppression of J cj of Bi2223. At very low temperatures below 10 K, µ 0 a J eq c0j may have the (1 − t) characteristics expected from the GL theory with superconductive weak links [24]. Fitting equation (11) for intra-grain µ 0 a J eq c0g gave the results µ 0 a J eq c0g (0) = 187 mT, α = 3.33 and β = 3.93, but these large α and β values were unphysical [24].…”

Section: Temperature Dependence Of the Critical Current Densitymentioning

confidence: 85%

“…For the high T c superconductors, the temperature dependence of J c has been discussed in relation to the GL theory [4,24,25] and flux creep [14,[26][27][28]. The J eq c0g and J eq c0j in tables 1 and 2 are equilibrium critical current densities at zero field: intra-grain and inter-grain parts.…”

Section: Temperature Dependence Of the Critical Current Densitymentioning

confidence: 99%

Magnetization analysis of sintered Bi2223 using an extended critical state model

Kimishima

Ichikawa

Takano

et al. 2004

Supercond. Sci. Technol.

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The field dependence of the magnetization was measured for sintered Bi2223 high Tc superconductor under a field amplitude of 5 T from 10 to 90 K. These data were analysed using our critical state model involving an equilibrium magnetization Meq and exponential decay of Jc. Some magnetic parameters including the equilibrium critical current density were determined for the intra-grain and inter-grain parts. The temperature dependences of the intra-grain and inter-grain Jc were also discussed. It was revealed that single vortex pinning was dominant in the intra-grain part, and flux creep caused by collective pinning was confirmed in the inter-grain part.

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“…On the other hand, concentric-ring patterns can also appear spontaneously. In fact, spiral patterns as well as concentric-ring patterns appear in the absence of a strong defect under some conditions [14,22]. However, we will not consider spontaneously created concentric-ring patterns in this paper since those patterns are beyond the scope of this paper.…”

Section: Introductionmentioning

confidence: 99%

Effects of an oscillating field on magnetic domain patterns: Emergence of concentric-ring patterns surrounding a strong defect

Kudo

2009

Phys. Rev. E

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Oscillating fields can make domain patterns change into various types of structures. Numerical simulations show that concentric-ring domain patterns centered at a strong defect are observed under a rapidly oscillating field in some cases. The concentric-ring pattern appears near the threshold of spatially uniform patterns in high-frequency cases. The threshold is theoretically estimated and the theoretical threshold is in good agreement with numerical one in a high-frequency region. The theoretical analysis gives also good estimations of several characteristics of domain patterns for high frequencies.

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Spiral-pattern formation and multistability in Landau-Ginzburg systems

Cited by 15 publications

References 38 publications

Modelling of the magnetic behaviour of random granular superconductors by the single junction model

Modelling of the magnetic behaviour of random granular superconductors by the single junction model

Magnetization analysis of sintered Bi2223 using an extended critical state model

Effects of an oscillating field on magnetic domain patterns: Emergence of concentric-ring patterns surrounding a strong defect

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