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Meanwhile, somewhere in California

Meanwhile, somewhere in California. Solar plasma. Convection is complicated Temperature is very high Completely or partially ionized gas -> Charges (protons and electrons) are present + Magnetic field is somehow generated and observed Quite dense

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Meanwhile, somewhere in California

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  1. Meanwhile, somewhere in California

  2. Solar plasma • Convection is complicated • Temperature is very high • Completely or partially ionized gas -> • Charges (protons and electrons) are present • + Magnetic field is somehow generated and observed • Quite dense • -> Need a good description of ionized fluid (plasma), since solving ~1030 equations of motion for each charged particle is not realistic…

  3. MHD • Start with basic principles: 6D volume in phase space, distribution function • Derive general transport equation • Calculate 0,1,2-momenta for velocity • Average over different particle types • Add induction equation for magnetic field • Simplify

  4. Some kinetics - Distribution function for particles f(ri,pi,t) in 6-dimensional space of coordinates and momenta. We can write a “conservation” equation for it. Liouville equation Collisions change the “conservation”: Boltzmann equation (BE) BE in vector form

  5. Simplifying kinetics - We want to get rid of velocity part of space. To do it we integrate BE for particle type a over an arbitrary volume in v-space d3V. We also multiply BE by a function of v, Χ(v). Where the averages <> are Generalized transport equation for Χ.

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