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Introduction to MagnetoHydroDynamics (MHD)
METHOD I: SELF-CONSISTENT PARTICLE PUSHING I An intuitive idea is to solve for the motion of all the particles iteratively, combining Newton’s law with Maxwell equations I At each time step i, solve m d2x(i) k dt = q k E(x k)(i 1) + dx(i) k dt B(i 1)(x k) k = 1;:::;N @E @t i = c2r B(i 1) 0c 2 XN k=1 q k dx k dt (x xik) @B @t i = r Ei I Fast solvers exist for the electromagnetic …
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