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Bound_currents.gif (480 × 480 pixels, file size: 1.28 MB, MIME type: image/gif, looped, 51 frames, 5.1 s)

Summary

Description
English: If the magnetization in a material is not uniform, the microscopic currents do not cancel, and an overall "bound current" can appear (blue arrows), plus the "surface bound currents" from the unbalanced currents at the surfaces (red arrows).
Date
Source https://twitter.com/j_bertolotti/status/1314868571198107648
Author Jacopo Bertolotti
Permission
(Reusing this file)
https://twitter.com/j_bertolotti/status/1030470604418428929

Mathematica 12.1 code

p0 = Table[
   pts = N@
     Table[0.2 {Cos[\[Theta]], Sin[\[Theta]]}, {\[Theta], 
       0.2 + \[Phi], 2 \[Pi] - 0.2 + \[Phi], (2 \[Pi])/50}];
   m = {0, 0, 1 + x/5};
   Show[
    VectorPlot[
     Evaluate[Curl[m, {x, y, z}][[1 ;; 2]]], {x, 0, 5}, {y, 0, 5}, 
     Frame -> False, PlotRange -> {{-1, 6}, {-1, 6}}, 
     VectorPoints -> 
      Flatten[Table[{i + 0.5, j}, {i, -1, 5}, {j, 0, 5}], 1], 
     VectorStyle -> {Thick, Arrowheads[0.03]}],
    Graphics[{
      Red, Thick, 
      Table[Arrow[{{i - (0.1 + i/10)/2, -0.5}, {i + (0.1 + i/10)/
           2, -0.5}}], {i, 0, 5}],
       Table[
       Arrow[{{i + (0.1 + i/10)/2, 5.5}, {i - (0.1 + i/10)/2, 
          5.5}}], {i, 0, 5}],
       Table[
       Arrow[{{-0.5, i + (0.1 + 0/10)/2}, {-0.5, 
          i - (0.1 + 0/10)/2}}], {i, 0, 5}],
       Table[
       Arrow[{{5.5, i - (0.1 + 5/10)/2}, {5.5, 
          i + (0.1 + 5/10)/2}}], {i, 0, 5}]
      }],
    Graphics[{Thick, 
      Table[Arrow[Plus[{i, j}, #] & /@ ((1 + i/5) pts), 0], {i, 0, 
        5}, {j, 0, 5}]}, PlotRange -> {{-1, 6}, {-1, 6}}]
    ]
   , {\[Phi], 0, 2 \[Pi], (2 \[Pi] - 10^-5)/50}];
ListAnimate[p0]

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Bound currents generated by a non-uniform magnetization.

Items portrayed in this file

depicts

arrow

magnetization

creator

some value

author name string: Jacopo Bertolotti
Wikimedia username: Berto

copyright status

copyrighted, dedicated to the public domain by copyright holder

copyright license

Creative Commons CC0 License

inception

10 October 2020

media type

image/gif

checksum

08ffd0047b3ed6379088c3ad59723d5b4fdb20b1

determination method or standard: SHA-1

data size

1,345,474 byte

duration

5.099999999999998 second

height

480 pixel

width

480 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current09:01, 12 October 2020Thumbnail for version as of 09:01, 12 October 2020480 × 480 (1.28 MB)BertoUploaded own work with UploadWizard

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