Lawson's Criterion: Applying to Plasmas & Deriving its Basis

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Discussion Overview

The discussion centers on Lawson's criterion, exploring its basis, derivation, and applicability to different types of plasmas, including magnetically confined and inertial confinement plasmas. The conversation includes comparisons of fusion schemes and their fulfillment of the criterion.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants inquire about the derivation and basis of Lawson's criterion, questioning its applicability to all plasmas versus only magnetically confined plasmas.
  • One participant asserts that Lawson's criterion is a rough estimate for fusion conditions applicable to all fusion schemes, regardless of confinement mechanism.
  • A participant describes the characteristics of magnetic confinement, noting low plasma densities but longer confinement times, typically on the order of seconds.
  • In contrast, another participant discusses inertial confinement fusion, highlighting extremely high densities but very short confinement times, on the order of nanoseconds, which also satisfy the Lawson criterion.
  • There is mention of the 'triple product' as a related concept that is more commonly used in current discussions about fusion.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of Lawson's criterion to various types of plasmas, with some asserting it applies universally while others focus on specific confinement methods. The discussion remains unresolved regarding the extent of its applicability.

Contextual Notes

Participants do not fully explore the assumptions underlying the criterion or the mathematical steps involved in its derivation, leaving some aspects of the discussion open to interpretation.

Who May Find This Useful

This discussion may be of interest to those studying plasma physics, fusion energy, or related fields, particularly in understanding the conditions necessary for achieving fusion.

sid_galt
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What is the basis for Lawson's criterion? How is it derived?

Does it apply to all plasmas or only to magnetically confined plasmas?
 
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sid_galt said:
What is the basis for Lawson's criterion? How is it derived?

Does it apply to all plasmas or only to magnetically confined plasmas?

Sid,

Lawson's criterion is a rough estimate for the conditions required for
fusion - any basic fusion text will give you the details.

It applies for ALL fusion schemes - regardless of the confinement
mechanism. It's interesting to see how the various fusion schemes
fulfill the Lawson criterion.

Take magnetic confinement. In magnetic confinement, the plasma
densities are fairly low - anyone else would call them a pretty good
vacuum. But the confinement times are on the order of a second or
a few seconds.

At the other end of the spectrum is inertial confinement fusion - also
called "laser fusion". Here there is no attempt made to try to confine
the plasma - only the plasma's own inertia limits its expansion.
Confinement times here are extremely small - on the order of
nanoseconds. However, the densities are extremely high - on the order
of 10,000 grams per cubic centimeter. So the product can also fulfill
the Lawson criterion.

So we have two extremes - low density, but high confinement time
[ magnetic fusion ] or high density, low confinement time [ inertial
confinement fusion ]

Dr. Gregory Greenman
Physicist
 
sid_galt said:
What is the basis for Lawson's criterion? How is it derived?

Does it apply to all plasmas or only to magnetically confined plasmas?

Read.
 

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