Neoclassical transport: Difference between revisions

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The '''Neoclassical Transport Model''' is one of the pillars of the physics of magnetically confined plasmas.
The '''Neoclassical Transport Model''' is one of the pillars of the physics of magnetically confined plasmas.
<ref>F.L. Hinton and R.D. Hazeltine, [[doi:10.1103/RevModPhys.48.239|Rev. Mod. Phys. '''48''', 239 (1976)]]</ref>
<ref>F.L. Hinton and R.D. Hazeltine, [[doi:10.1103/RevModPhys.48.239|Rev. Mod. Phys. '''48''', 239 (1976)]]</ref>
<ref>P. Helander and D.J. Sigmar, ''Collisional Transport in Magnetized Plasmas'', Cambridge University Press (2001) ISBN 0521807980</ref>
<ref>P. Helander and D.J. Sigmar, ''Collisional Transport in Magnetized Plasmas'', Cambridge University Press (2001) {{ISBN|0521807980}}</ref>
It provides a model for the transport of particles, momentum, and heat due to Coulomb collisions in confined plasmas in complex magnetic geometries, assuming that the plasma is in a quiescent state.
It provides a model for the transport of particles, momentum, and heat due to Coulomb collisions in confined plasmas in complex magnetic geometries, assuming that the plasma is in a quiescent state.
Thus, transport due to fluctuations lies outside of the scope of the theory.
Thus, transport due to fluctuations lies outside of the scope of the theory.
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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).
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>


It is customary to make a number of additional assumptions to facilitate the analysis: e.g., small gyroradius, nested magnetic surfaces, large parallel transport, Maxwellian distribution functions, etc.
It is customary to make a number of additional assumptions to facilitate the analysis: e.g., small gyroradius, nested magnetic surfaces, large parallel transport, Maxwellian distribution functions, etc.