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Neoclassical transport: Difference between revisions
→Brief summary of the theory
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where <math>\alpha</math> indicates the particle species, <math>v</math> is the velocity, | where <math>\alpha</math> indicates the particle species, <math>v</math> is the velocity, | ||
<math>F</math> is a force (the [http://en.wikipedia.org/wiki/Lorentz_force Lorentz force] acting on the particle) and <math>C_\alpha</math> the Fokker-Planck collision operator. | <math>F</math> is a force (the [http://en.wikipedia.org/wiki/Lorentz_force Lorentz force] acting on the particle) and <math>C_\alpha</math> the Fokker-Planck [[Collision operator|collision operator]]. | ||
The derivation of this collision operator is highly non-trivial and requires making specific assumptions; | The derivation of this collision operator is highly non-trivial and requires making specific assumptions; | ||
in particular it must be assumed that a single collision has a small random effect on the particle velocity, | in particular it must be assumed that a single collision has a small random effect on the particle velocity, | ||
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The theory is valid for all [[Collisionality|collisionality]] regimes, and includes effects due to resistivity and viscosity. An important prediction of the theory is the [[Bootstrap current|bootstrap current]]. | The theory is valid for all [[Collisionality|collisionality]] regimes, and includes effects due to resistivity and viscosity. An important prediction of the theory is the [[Bootstrap current|bootstrap current]]. | ||
== Predictive and interpretative modelling == | |||
The derived transport equations can be used in several ways. | |||
In predictive modelling, the transport is computed on the basis of the magnetic geometry, the collision operator, sources, and boundary conditions. The predicted transport and the resulting profiles can then be compared to experimental data. | |||
In interpretative modelling, experimentally measured profiles are used to infer the corresponding sources or transport coefficients. | |||
== Achievements == | == Achievements == | ||