Multi-Fluid One-Dimensional Ignition Analysis

Three-dimensional density plot of a transonic DIII-D equilibrium


The classic work by Lawson [J. D. Lawson, Proc. Phys. Soc. London Sect. B 70 , 6 (1957)] has been the standard reference about "ignition" (the production of power at steady state without any auxiliary power input) in magnetic confinement experiments for several decades. Our research work aims at improving the model in Lawson's work by:

  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.

References and support material:

A paper describing the software and results is in preparation. Details will be included in this page as they become available.

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

Mathematica notebook for the 0D TF Lawson criterion

Mathematica notebook for 0D heating power calculations, step 1

Mathematica notebook for 0D heating power calculations, step 2

Mathematica notebook for 1D TF evolution

Mathematica notebook for the 1D TF Lawson criterion

A useful tool for calculating Lawson products for different profiles and energy confinement times (only for download for now):

Lawson product calculator

A conference presentation (APS-DPP 2016) describing the method and results of this work is included below.

APS-DPP 2016 presentation

The first paper on this work has been accepted for publication in Physics of Plasmas and is attached below.

TF-Lawson first paper [Physics of Plasmas 24, 082504 (2017)]

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.


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

last modified July 28 2017