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Neoclassical transport: Difference between revisions
→Brief summary of the theory
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The collision operator must also satisfy some obvious conservation laws (conservation of particles, momentum, and energy). | The collision operator must also satisfy some obvious conservation laws (conservation of particles, momentum, and energy). | ||
Once the collision operator is decided, the moments of the | Once the collision operator is decided, the moments of the Kinetic Equation can be computed. First, some definitions are needed: | ||
:<math> | :<math> | ||
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(heat flux) | (heat flux) | ||
The main goal of Neoclassical transport theory is to provide a closed set of equations for the time evolution of these moments, for each particle species. Since the determination of any moment | The main goal of Neoclassical transport theory is to provide a closed set of equations for the time evolution of these moments, for each particle species. Since the determination of any moment requires knowledge of the next order moment, this requires truncating the set of moments (''closure'' of the set of equations). | ||
<ref>T.J.M. Boyd and J.J. Sanderson, ''The physics of plasmas'', Cambridge University Press (2003) ISBN 0521459125</ref> | <ref>T.J.M. Boyd and J.J. Sanderson, ''The physics of plasmas'', Cambridge University Press (2003) ISBN 0521459125</ref> | ||