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Nonlinear electrodynamics of vortex matter in hard superconductors (Review)
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10.1063/1.3292283
/content/aip/journal/ltp/36/1/10.1063/1.3292283
http://aip.metastore.ingenta.com/content/aip/journal/ltp/36/1/10.1063/1.3292283
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Radial distribution of the magnetic field of a transport current for different amplitudes of a magnetic field: 0 (1), 10.2 (2) 15 (3), 20 (4), (5), dashed line— (6). This figure is taken from Ref. 18.

Image of FIG. 2.
FIG. 2.

Evolution of the magnetization loop (right-hand sections, ) with increasing amplitude of the ac field: (solid line), (circles) and (squares). The data for and have been multiplied by 5. . This figure is taken from Ref. 20.

Image of FIG. 3.
FIG. 3.

Magnetic moment versus the ac magnetic field amplitude for four different magnetic histories at . Inset: section of the magnetization curve , including the region with , with starting points , , , and of the curves . This figure is taken from Ref. 21.

Image of FIG. 4.
FIG. 4.

Schematic images of the spatial distribution of the magnetic inductions for four cases corresponding to four starting points on the curves , shown in Fig. 3. The heavy lines (1) correspond to , the lines (2)–(4) depict the profiles for , , and , where is the penetration field. The sketches are presented for the left side of the sample, . The figure was taken from Ref. 21.

Image of FIG. 5.
FIG. 5.

Moment versus the magnitude of the cyclically time-varying orthogonal magnetic field . The results were obtained for , . The panels a and b correspond to the paramagnetic and diamagnetic initial states. The figure is taken from Ref. 22.

Image of FIG. 6.
FIG. 6.

Magnetic moment versus time in the first cycles of variation of the orthogonal magnetic field , calculated within the double critical-state model for [, ].22 All other parameters correspond to a model sample with thickness . The curves 1 and 2 were obtained for the diamagnetic and paramagnetic initial states of the sample. The figure is taken from Ref. 22.

Image of FIG. 7.
FIG. 7.

Magnetic moment versus time in the first cycles of variation of the orthogonal magnetic field , calculated within the two-velocity hydrodynamic model for (solid line) and (dashed line). The top and bottom curves were obtained for diamagnetic and paramagnetic initial states of the sample. The figure is taken from Ref. 22.

Image of FIG. 8.
FIG. 8.

Geometry for measuring magnetic relaxation under collapse conditions. This figure is taken from Ref. 41.

Image of FIG. 9.
FIG. 9.

Relaxation of the magnetization and trapped magnetic induction. The measurements were performed without (filled symbols) and after the action of an ac field (open symbols). This figure is taken from Ref. 41.

Image of FIG. 10.
FIG. 10.

Magnetization relaxation with and different values of the constant field . This figure is taken from Ref. 41.

Image of FIG. 11.
FIG. 11.

Magnetic induction distribution along the axis on the surface of the sample without (solid lines) and after (open symbols) the action of an ac magnetic field. This figure is taken from Ref. 41.

Image of FIG. 12.
FIG. 12.

Distribution of the trapped magnetic induction for sample B, obtained without (filled symbols) and after (open symbols) the action of an ac magnetic field. The magnetic and temperature dependences are described in the text. The figure is taken from Ref. 41.

Image of FIG. 13.
FIG. 13.

Relative losses in a superconducting disk ( in diameter and thick) for different orientations of the ac field relative to the axis with constant magnetic field , directed along the axis. . The curves 1–5 correspond to the angles between the axis and the vector , equal to 0°, 38°, 45°, 60°, and 90°, respectively. The figure was taken from Ref. 43. The figure is taken from Ref. 43.

Image of FIG. 14.
FIG. 14.

Magnetization curve for a in diameter and thick superconducting disk making an angle 65° with the axis. Inset: fragment of the primary magnetization curve with two minima on an enlarged scale. This figure is taken from Ref. 46.

Image of FIG. 15.
FIG. 15.

Magnetization loops for different amplitudes of the ac field and for different orientations of the constant magnetic field with respect to the axis: (a) and (b). . This figure is taken from Ref. 47.

Image of FIG. 16.
FIG. 16.

Evolution of the spatial distribution of the magnetic induction in different time intervals: (a), (b), and (c). This figure is taken from Ref. 49.

Image of FIG. 17.
FIG. 17.

Computed dimensionless electric field versus (a); measured dependence for (b). The figure is taken from Ref. 49.

Image of FIG. 18.
FIG. 18.

Temperature dependence of the surface resistance for different values of the ac field amplitude for a thick, textured, YBCO ceramic plate; the normal to the plate is parallel to the crystallographic axis , . The dashed horizontal line shows the limiting height of the maximum, , corresponding to the conventional critical-state model. This figure is taken from Ref. 53.

Image of FIG. 19.
FIG. 19.

Evolution (a–f) of the spatial distributions of the magnetic field (left-hand column) and the vortex density (right-hand column) with a periodically varying external magnetic field. This figure is taken from Ref. 53.

Image of FIG. 20.
FIG. 20.

Computed height of the maximum of the surface impedance versus the parameter . This figure is taken from Ref. 52.

Image of FIG. 21.
FIG. 21.

Image in polarized light of a section of the surface of a single-crystal sample. Domains with mutually orthogonal directions of the twinning boundaries are clearly seen. The scale shown corresponds to . This figure is taken from Ref. 67.

Image of FIG. 22.
FIG. 22.

Magneto-optical image of the distribution of the normal component of the magnetic induction on the surface of a single crystal. The lighter sections of the image correspond to a larger value of . The external magnetic field , . This figure is taken from Ref. 67.

Image of FIG. 23.
FIG. 23.

Same as Fig. 22 after temperature has been raised to and the external magnetic field has been switched off. A magnified section of the fragment inside the rectangular contour is shown on the right-hand side.67

Image of FIG. 24.
FIG. 24.

Image of a sample in polarized light. This figure is taken from Ref. 75.

Image of FIG. 25.
FIG. 25.

Evolution of the magnetic field distribution in a sample under instability development conditions. The images were obtained 0.1, 0.2, 0.3, and after reversal of the direction of the magnetic field at , . The white arrow indicates an interface separating regions occupied by vortices and antivortices. This figure is taken from Ref. 75.

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2010-03-02
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nonlinear electrodynamics of vortex matter in hard superconductors (Review)
http://aip.metastore.ingenta.com/content/aip/journal/ltp/36/1/10.1063/1.3292283
10.1063/1.3292283
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