A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. The GSLW is regard...A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. The GSLW is regarded as a weighted linear superimposition of the second-order long Wave induced by the low peak frequency section and that induced by the high peak frequency section. There is a parabolic relationship between the GSLW and the wave envelope. Then the probability density function and the distribution function of the GSLW amplitude are derived. Thus the formulas for the average time duration and the mean length of runs can be derived. Good agreement between theoretical results and measured values was achieved. as verified with the measured double-peaked spectra in different regions.展开更多
The second magnetization peak(SMP)effect has been observed widely in many type‐Ⅱsuperconductors,but the reason remains elusive.This effect manifests an enhanced critical current density with magnetic field and shoul...The second magnetization peak(SMP)effect has been observed widely in many type‐Ⅱsuperconductors,but the reason remains elusive.This effect manifests an enhanced critical current density with magnetic field and should be very useful for applications.By measuring the magnetization of optimally doped Ba_(0.6)K_(0.4)Fe_(2)As_(2)single crystals with different thickness,it is found the SMP effect exists in thick samples and gradually becomes invisible when the sample thickness is reduced to the scale of micrometer.Detailed inves-tigation on the vortex dynamics on samples with different thickness clearly show that there is a common behav-ior of vortex dynamics in the low field region,which may be characterized by the Bragg glass like elastic vortex motion.This feature holds on in the whole field region for the thin samples,while it turns into the SMP effect for thicker samples when the field is increased.The results suggest that the SMP effect may be induced by the entanglement of the vortex system,and the absence of the SMP effect in thin samples is attributed to the cutoff of the entangled vortex length along c‐axis.展开更多
基金This project was funded by the National Natural Science Foundation of China
文摘A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. The GSLW is regarded as a weighted linear superimposition of the second-order long Wave induced by the low peak frequency section and that induced by the high peak frequency section. There is a parabolic relationship between the GSLW and the wave envelope. Then the probability density function and the distribution function of the GSLW amplitude are derived. Thus the formulas for the average time duration and the mean length of runs can be derived. Good agreement between theoretical results and measured values was achieved. as verified with the measured double-peaked spectra in different regions.
基金supported by the National Natural Science Foundation of China(Grants No.A0402/11927809,No.A0402/11534005)National Key R and D Program of China(Grant No.2022YFA1403201)the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB25000000).
文摘The second magnetization peak(SMP)effect has been observed widely in many type‐Ⅱsuperconductors,but the reason remains elusive.This effect manifests an enhanced critical current density with magnetic field and should be very useful for applications.By measuring the magnetization of optimally doped Ba_(0.6)K_(0.4)Fe_(2)As_(2)single crystals with different thickness,it is found the SMP effect exists in thick samples and gradually becomes invisible when the sample thickness is reduced to the scale of micrometer.Detailed inves-tigation on the vortex dynamics on samples with different thickness clearly show that there is a common behav-ior of vortex dynamics in the low field region,which may be characterized by the Bragg glass like elastic vortex motion.This feature holds on in the whole field region for the thin samples,while it turns into the SMP effect for thicker samples when the field is increased.The results suggest that the SMP effect may be induced by the entanglement of the vortex system,and the absence of the SMP effect in thin samples is attributed to the cutoff of the entangled vortex length along c‐axis.
