## Magnetic confinement and Alfven's theorem

Hi,

I was reading about Earnshaw's theorem and how it explains the non availability of electrostatic confinement of plasma, but does Alfven's theorem really prove the fact that magnetic confinement of hot plasma is achievable?

Regards,

Boltzmann

Recognitions:
Gold Member
 Quote by Boltzmann2012 Hi, does Alfven's theorem really prove the fact that magnetic confinement of hot plasma is achievable? Regards, Boltzmann
No , it does not , for I cannot find any reference that it does.

Please look here : http://www.oberlin.edu/physics/dstye...ensTheorem.pdf
 Hey sankalpmittal, I was actually reading Griffiths in which he states that electric confinement is not possible since a stable eq condition cannot be achieved by a space distribution of charges. According to alfven's theorem, the magnetic flux gets 'frozen' within the plasma/liquid and hence it acquires some magnetic character. Using this it can be confined. Please tell me if im wrong. I am a beginner. Thanks for your help and time, Regards, Boltzmann

Recognitions:
Gold Member

## Magnetic confinement and Alfven's theorem

 Quote by Boltzmann2012 Hey sankalpmittal, I was actually reading Griffiths in which he states that electric confinement is not possible since a stable eq condition cannot be achieved by a space distribution of charges. According to alfven's theorem, the magnetic flux gets 'frozen' within the plasma/liquid and hence it acquires some magnetic character. Using this it can be confined. Please tell me if im wrong. I am a beginner. Thanks for your help and time, Regards, Boltzmann
Yeah , you're right. Sorry about that huh. I kinda blundered it.

Ok , so Alfven's theorem states that in a perfectly conducting fluid , magnetic lines move within the fluids and at times (for example in sun which is but a very hot and churning ball of plasma) and when two bobs of plasma are connected by magnetic field at time , then they are also connected by it at all other times , for when fluid is very hot , the electrons from it are stripped off and hence its conducting , and thus the bobs of plasma are always being interacted by magnetic fields and at times , the magnetic fields are distorted and hence are frozen into the plasma. So its also known as "frozen flux theorem". But magnetic "topology" is always preserved.

So yes , the hot plasma can be confined and in other words magnetic confinement of hot plasma is achievable.

This takes place rarely (I think) when plasma isn't warm. (In my opinion its not possible in this case.)

But yes , you're right. Magnetic confinement of hot plasma is achievable by Alfven's theorem.

Hope this helps. :)
 Thank you very much, sankalpmittal. Best Wishes and Regards, Boltzmann
 Thread Tools

 Similar Threads for: Magnetic confinement and Alfven's theorem Thread Forum Replies Classical Physics 3 Nuclear Engineering 3 Classical Physics 0