Navier–Stokes, charged particles, and why plasma is different

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This chapter, from the episode video's captions · 345 words
7:21extremely difficult. >> Is extremely difficult like the Navier Stokes equation with neutral atoms is a is a millennium problem. It's one of those seven problems well now six that have been unsolved that you get a million dollars if you solve it which is do the Navier Stokes equations have an analytic solution for any given geometry. Okay. Nobody knows. We don't know. We don't know. Right? But that's for neutral atoms. Now, imagine a fluid where you don't have to just worry about the particles bumping into each other and viscosity and all this stuff. You also have to worry about the fact that these particles have charge. And so, they're creating electric fields because any charged particle creates electric
8:01fields, but also they're moving. So, that's creating magnetic fields. And then those magnetic fields are going to affect the other charged particles around which are going to affect the other charged particles around. So you have this entirely nonlinear process, right, that's happening. And it's incredibly difficult. This is why >> it's very hard to make fusion happen. >> Fish is very easy. We have fish reactors. >> All of the nuclear power that we think about is from fishision, which is the splitting of atoms. That's a nuclear energy that we're harnessing to create electricity. >> Yes. The holy grail would be fusion, right? Fusion power because then we could just use hydrogen instead of trying to find like uranium and all this
8:41other crazy rare earth stuff. Hydrogen is just in water. You just find hydrogen. We could purify dutarium which is isotope of hydrogen. We'd combine them together and basically replicate the sun. >> You know, this is the dream. We replicate the sun in a building and that just feeds us electricity. >> We're trying to replicate the sun locally. >> Yeah. Exactly. I mean, it would be dope. It would be It would be what um Dr. Octopus wanted to do before he went crazy. Yes. >> In Spider-Man 2. >> Spider-Man 2. >> Spider-Man 2, right?
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