plasmoid 5th power scaling law

[meems]

So that 5th power scaling law at heart of plasmoid crushing power. Can anyone give a rough idea how such a high proportion is possible?

[Francisl]

This is the easy link: https://lppfusion.com/new-record-fusion-yields-as-fofu-1-shows-rapid-scaling/

This is more recent and complicated: http://www.plasmafocus.net/IPFS/2014%20papers/4%20pub%2014%20jofe33%20Revw%20Lee%20code.pdf

[meems]

the first link barely mentions the fifth power scaling, the 2nd is inaccessible nightmare level maths. No insight can be gained from either of them. I think this is why I’m asking the question after all these years. Is there any way to explain the 5th power scaling at some intermediate level, like somewhere between college and 3rd year undergrad level?

Btw that maths model is such a mashup i think u’d be miles better with a numerical model + computer simulation.

[Francisl]

Actually the scaling power is not a law. It is more a rule of thumb based on curve fitting neutron or x-ray yields versus input current. Some literature compilations show scaling powers of 3.6 to 4.5. The 5th power scaling is probably the upper limit of efficiency predicted by LPPs theory.

Here is a link to some papers discussing the scaling models: http://www.plasmafocus.net/IPFS/2015%20papers/2015%20Publications.pdf

Here is a link to modeling dpf devices using Excel spreadsheets: http://www.plasmafocus.net/IPFS/modelpackage/File1RADPF.htm

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