Functional methods applied to plasma theory problems |
Basic path-integral method for the statistical analysis of stochastic processes |
The classical statistical analysis of simple random processes, can be formulated in terms of the Martin Siggia Rose functional and re-formulated (Jensen) in terms of path-integral. The Faynman diagrammatic expansion allows to calculate the generating functional and derive the irreducible correlations by functional derivatives. It is a classic approach, it has been used in a large number of problems and is efficient. |
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Simple Langevin equations |
Examples of processes that can be directly analysed using path-integral methods. It also include an application to the Levy process. |
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Magnetic stochasticity |
Particle trajectories in stochastic magnetic fields |
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Collisional particles in stochastic magnetic field |
Collisional diffusion in stochastic magnetic field. The reference case is a Tokamak. |
Diffusion with trapping |
There is a wide variety of methods that have been developed for this problem. We restrict here to our path-integral applications. |
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Diffusion with trapping in 2D fluid or plasmas |
The 2D process that is examined here is more general, but it was isnpired by the trapping of impurities in turbulent eddies in Tokamak |
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