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Multi-Fluid One-Dimensional Burning-Plasma Analysis




Two-Fluid Lawson Product for Burning Plasmas


Introduction


In this line of research we extended the classic work by Lawson [J. D. Lawson, Proc. Phys. Soc. London Sect. B 70, 6 (1957)] and our own results on two-fluid, one-dimensional ignition analysis [L. Guazzotto and R. Betti, Phys. Plasmas 24, 082504 (2017)] to the analysis of burning plasmas. The main new elements in the work are:

  1. Including multi-fluid physics, i.e. distinguishing between ions, electrons and α particles;
  2. Considering one-dimensional profiles for ion and electron temperatures and densities;
  3. Considering different levels of heating and of gain factor, with heating deposition evenly and unevenly split between ions and electrons;
  4. Considering a power-dependent energy confinement time.


References and support material:

Mathematica notebooks containing all the details needed to reproduce the results of this research project are freely available. Interested users are encouraged to contact Dr. Guazzotto with any questions or requests.

Mathematica notebook for 0D fits as function of energy confinement times


Mathematica notebook for 1D fits as function of density and temperature profiles


A conference presentation (Sherwood 2018) describing the method and results of this work is included below.

Sherwood 2018 presentation

A paper on this work has been published in Plasma Physics and Controlled Fusion [L. Guazzotto and R. Betti, Plasma Phys. Control. Fusion 61 085028 (2019)].
Here is the author-submitted version (not restricted by the journal copyright policy).
Here is the published version.



Contact: Luca Guazzotto, Auburn University


Copyright notes:

Any use of the provided Mathematica notebooks should be acknowledged. Keeping Dr. Guazzotto informed of any use or development related to the code will be greatly appreciated.



Warranty:

The software provided in this page comes with no warranty, either explicit or implied.



last modified August 22 2019