“…Over the entire range of their measurements they observed that I CO increased with time. This result can be expected since the remanent trapped flux is known to decay with time [55][56][57]. This result also corroborates and extends earlier work by Kwasnitza and Widmer [37][38][39][40] and other workers [12,13,[58][59][60].…”
Altshuler et al discovered that dICO/dlnt, the rate of increase of the critical current
IC with time in
polycrystalline high TC
samples, traced a peak when measured versus
HM, the amplitude of the sweep of the flux trapping magnetic field. We show that the sharp peak in
dICO/dlnt
which their model generates arises from a special feature of the formulae they use to describe
IC
versus HM. Pursuing an extension of these formulae, and exploiting a Brandt–Indenbom
formula for the return field of the magnetized grains, we (i) reproduce
observations of Altshuler et al, Batista-Leyva et al and a family of curves of
dICO/dlnt
reported by Cobas et al, and (ii) estimate the return fields. We also explore the peak structure of
dICO/dlnt
versus HM
generated by using two well known empirical expressions for
IC(H), and the Brandt–Indenbom formula.
“…Over the entire range of their measurements they observed that I CO increased with time. This result can be expected since the remanent trapped flux is known to decay with time [55][56][57]. This result also corroborates and extends earlier work by Kwasnitza and Widmer [37][38][39][40] and other workers [12,13,[58][59][60].…”
Altshuler et al discovered that dICO/dlnt, the rate of increase of the critical current
IC with time in
polycrystalline high TC
samples, traced a peak when measured versus
HM, the amplitude of the sweep of the flux trapping magnetic field. We show that the sharp peak in
dICO/dlnt
which their model generates arises from a special feature of the formulae they use to describe
IC
versus HM. Pursuing an extension of these formulae, and exploiting a Brandt–Indenbom
formula for the return field of the magnetized grains, we (i) reproduce
observations of Altshuler et al, Batista-Leyva et al and a family of curves of
dICO/dlnt
reported by Cobas et al, and (ii) estimate the return fields. We also explore the peak structure of
dICO/dlnt
versus HM
generated by using two well known empirical expressions for
IC(H), and the Brandt–Indenbom formula.
“…Over the entire range of their measurements they observed that I CO increased with time. This result can be expected since the remanent trapped flux is known to decay with time [55][56][57]. This result also corroborates and extends earlier work by Kwasnitza and Widmer [37][38][39][40] and other workers [12,13,[58][59][60].…”
Section: Introductionsupporting
confidence: 91%
“…Altshuler et al [1] also found that dI CO /d ln t increases as a function of H M over the lower range of H M . This behaviour can also be expected since the rate of release of the trapped flux is known to rise as the density of flux initially stored in the specimen is increased [5,[55][56][57]61]. They then discovered that dI CO /d ln t ceased to grow, but traced a sharp peak, as the excursion of H M was augmented.…”
Altshuler et al discovered that dI CO /d ln t, the rate of increase of the critical current I C with time in polycrystalline high T C samples, traced a peak when measured versus H M , the amplitude of the sweep of the flux trapping magnetic field. We show that the sharp peak in dI CO /d ln t which their model generates arises from a special feature of the formulae they use to describe I C versus H M . Pursuing an extension of these formulae, and exploiting a Brandt-Indenbom formula for the return field of the magnetized grains, we (i) reproduce observations of Altshuler et al, Batista-Leyva et al and a family of curves of dI CO /d ln t reported by Cobas et al, and (ii) estimate the return fields. We also explore the peak structure of dI CO /d ln t versus H M generated by using two well known empirical expressions for I C (H), and the Brandt-Indenbom formula.
“…Blinov et al [1] report on the relaxation of the remanent magnetic moment of small electrically isolated Y-Ba-Cu-O particles subjected to various magnetization procedures in the weak-field regime where the number of vortices trapped in each particle is small. Their article focuses on the behaviour in a sample where the grain size varies between 6 and 10 µm and the magnetic field excursion H 0 ≈ 100 G. They examine the relaxation rates subsequent to three temperature-magnetic field histories (which they label A, B and C) followed in establishing the trapped flux configurations.…”
Several workers have measured the rates of decay of remanent magnetic moments in granular high- superconductors where the temperature-field histories generated trapped flux profiles comprising two concentric regions of countercirculating persistent currents. Exploiting a simple model based on the critical state for bulk specimens and the conservation of flux for the redistribution of vortices, and neglecting , we account for the major features of these observations although in some cases the number of trapped vortices is small. The model makes readily testable predictions of the relative magnitudes of the initial rates of magnetic relaxation for various configurations of flux density profiles.
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