Anti-Vortex Image in Hele-Shaw Cell

heleshaw img

Magnetic fields can be hard to understand or characterize. Two natural means of visualizing magnetic fields are the aurora australis and the aurora borealis, as well as the Sun’s corona.

Michael Snyder and others have explored ways to visualize magnetic fields in the lab. The visualization here started with a Hele-Shaw cell. A Hele-Shaw cell is two flat parallel plates separated by a nearly infinitesimal distance. In this case, Snyder’s and Frederick’s Hele-Shaw cell is made of two 100mm circular glass windows separated by a Fe3O4 ferrofluid; that is, a liquid of 10nm particles that becomes strongly magnetized.

The Hele-Shaw cell is facing the camera and illuminated by 36 colored LED lights placed around the cell’s perimeter. The light is scattered through the cell as the ferrofluid particles respond to two magnets behind the cell which are aligned north/south and south/north. The magnetization produces this anti-vortex image.

http://www.aps.org/about/physics-images/archive/heleshaw.cfm

 

 

XY

Due to E(φ) periodicity in the XY model there are interesting excitations with nontrivial topology – vortices and anti-vortices (marked to the left by red and green squares). Under path-tracing around a vortex or anti-vortex spins complete revolution on ±2π . Under movement in the direction of phase growth (i.e. if spins rotate in the counter-clockwise direction) vertex is traced in the counter-clockwise direction and anti-vortex is traced in the clockwise direction.

vertex

As since spin rotation depends on the difference of spin directions along a path, therefore it is not changed if we turn all spins together on the same angle. In Fig.2. all 3 uper pictures are vortices and all 3 lower ones are anti-vortices.

The XY model is dual to the 2D Coulomb model.
Vortices and anti-vortices are dual to electrical charges with different signs.
Therefore vortex and anti-vortex attract each other and annihilate. For periodic boundary conditions the phase difference under tracing along the border is zero, therefore the number of vortices is equal to the number of anti-vortices (the total charge is 0).

http://www.ibiblio.org/e-notes/Perc/xy.htm

 

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Comments

  • Rudolf (Boschnjak) Bošnjak  On December 29, 2012 at 7:16 am

    Dear Sirs,

    Thank you for revealing this image Anti-Vortex Image in Hele-Shaw Cell, but I must tell you this was known thousand years before this experiment and drawn in orthodox images. You just discovering how religion misguiding humans….

    THIS IS KNOWN KNOWLEDGE IN ORTHODOX ICONS, SEE MY DISCOVERY HERE http://www.elektroauto.ba/ONAMA/my_research.html

    Regards
    Rudolf (Boschnjak) Bošnjak

    • raphael  On December 29, 2012 at 8:49 pm

      Hey Rudolf I noticed you copyrighted your web page and information.

      wolf rolf ROFL

      PhDUH how can you do that?
      Do you think a dinktank like you has the right to ‘copyright’ information available to anyone who dares dream and uplink to the EM fIELd?

      You sir are a cosmic fail.
      Watch me prove it.
      That particular shape you have been entranced with since 1995 or so has been slow to reveal its secrets to an ego like yours?

      Because obviously my Ego with a big E has revealed far more to me in a shorter period of time because my intent has been to share not copy-write.

      proof that what ‘just is’ belongs to everybody and anybody, not the first horse out of the gate.
      The race ain’t over, that is clear is it not?
      https://at37.wordpress.com/2012/03/05/lsd/
      https://at37.wordpress.com/2012/04/13/4-ages-model-source-flow-shadow/

      Why don’t ya bring your MAGNETIC insights to this forum here and share OR I can guarantee you that all proceeds collected as a result of your copyright will be worked off in HELL.
      http://www.toequest.com/forum/your-toe-theory/6578-the-ox-toe.html

      selah

      ox

  • Rudolf (Boschnjak) Bošnjak  On December 30, 2012 at 7:41 am

    Hello Selah and other humans,

    Just watch pictures or images or drawings I GIVE TO HUMANS ON THIS PLANET EARTH AS COMMON KNOWLEDGE FROM THE PAST, TO TRAY TO REALIZE WHAT WAS LEFT TO HUMANS AND read MY THOUGHTS AND HOW I SEE WHAT YOU CAN NOT SEE, there….

    Read a little bit and COPYRIGHT- ALL RIGHTS RESERVED MEAN NOTHING WHEN YOU PUT YOUR WORK ON INTERNET….REMEMBER THAT.

    THIS IS US PATENT INVENTION, known as COPYRIGHT, this INVENTION DOES NOT EXIST IN UNIVERSE OR HELL OR HEAVEN. THERE IS NO PROFIT IN UNIVERSE, THERE IS NO LAW TO PROTECT KNOWLEDGE IN UNIVERSE, IT IS GIVEN TO ALL WHO CAN COMPREHEND AND UNDERSTAND.

    For that reason we get THING WE CALL BRAIN.

    I GIVE TO ALL, THIS KNOWLEDGE AS IS ULTIMATE POWER how I get in RAW FORM, AND IF YOU CAN COMPREHEND AND UNDERSTAND WHAT I SHARE AND NOT GIVE A COMMENT, THIS IS KNOWLEDGE WHICH YOU MUST TO APPLY….

    Read about Nikola Tesla and do not comment my discoveries and work, IT IS GIVEN TO ALL HUMANS ON THIS PLANET WHO CAN COMPREHEND AND UNDERSTAND, so please do not comment my work again.

    http://www.elektroauto.ba/NT/index.html

    Regards
    Rudolf (Boschnjak) Bosnjak

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