Physics:Quantum Fusion reactions and Lawson criterion - Revision history

Maintenance script: Normalize quantum page header order

2026-05-22T11:34:10Z

Normalize quantum page header order

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Maintenance script: Clean Book label remnants and backlink spacing

2026-05-22T11:12:27Z

Clean Book label remnants and backlink spacing

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Maintenance script: Remove hidden BOM characters and direct Book label after Short description

2026-05-22T11:04:40Z

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Maintenance script: Clean Short description prefix and add Book I label

2026-05-22T10:49:42Z

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Maintenance script: Apply continuous Quantum previous-next navigation

2026-05-20T12:36:33Z

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2026-05-20T12:27:07Z

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Maintenance script: Improve Book I intro quality

2026-05-20T09:05:43Z

Improve Book I intro quality

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	'''~~The~~ Lawson criterion''' is a fundamental condition in ~~[[Physics:Quantum Fusion\|~~nuclear fusion]] physics that determines when a plasma can produce net energy.<ref name="Lawson1955">{{cite tech report \|last=Lawson \|first=J. D. \|title=Some criteria for a useful thermonuclear reactor \|date=1955 \|institution=Atomic Energy Research Establishment}}</ref><ref name="Lawson1957">{{Cite journal \|last=Lawson \|first=J. D. \|title=Some Criteria for a Power Producing Thermonuclear Reactor \|journal=Proceedings of the Physical Society \|volume=70 \|pages=6–10 \|year=1957 \|doi=10.1088/0370-1301/70/1/303}}</ref>		'''Fusion reactions and Lawson criterion''' the Lawson criterion is a fundamental condition in nuclear fusion physics that determines when a plasma can produce net energy. It compares the rate of energy generated by fusion reactions to the rate of energy losses from the plasma. When fusion heating exceeds losses, the plasma can reach ignition. Lawson criterion for various fusion approaches, showing the required triple product for ignition. Fusion reactions depend on quantum tunnelling through the Coulomb barrier. The probability that two nuclei fuse is governed by the fusion cross section and its Maxwellian average: This quantum-mechanical tunnelling probability ultimately determines the fusion reactivity and therefore sets the conditions required by the Lawson criterion.

	It compares the rate of energy generated by fusion reactions to the rate of energy losses from the plasma. When fusion heating exceeds losses, the plasma can reach ignition.<ref>{{Cite journal \|last1=Abu-Shawareb \|first1=H. \|title=Lawson Criterion for Ignition Exceeded in an Inertial Fusion Experiment \|journal=Physical Review Letters \|volume=129 \|year=2022 \|doi=10.1103/PhysRevLett.129.075001}}</ref>

	~~In modern form, the Lawson criterion is expressed through the '''triple product''':~~

	~~<math>n T \tau_E</math>~~

	~~where <math>n</math> is particle density, <math>T</math> temperature, and <math>\tau_E</math> the energy confinement time.~~

	~~<div style="float:right; border:1px solid #ccc; padding:4px; background:#ffffe6; margin:0 0 1em 1em; width:400px;">~~
	~~<div style="font-size:90%;">~~Lawson criterion for various fusion approaches, showing the required triple product for ignition.~~</div>~~
	~~</div>~~
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Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:51:03Z

Normalize Book I Quantum page structure

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	{{Sourceattribution\|Lawson criterion\|1}}		{{Sourceattribution\|Physics:Quantum Fusion reactions and Lawson criterion\|1}}

Harold: Arrange page top as TOC lead image columns

2026-05-17T14:02:54Z

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	~~{{Quantum book backlink\|Plasma and fusion physics}}~~		<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
	'''The Lawson criterion''' is a fundamental condition in [[Physics:Quantum Fusion\|nuclear fusion]] physics that determines when a plasma can produce net energy.<ref name="Lawson1955">{{cite tech report \|last=Lawson \|first=J. D. \|title=Some criteria for a useful thermonuclear reactor \|date=1955 \|institution=Atomic Energy Research Establishment}}</ref><ref name="Lawson1957">{{Cite journal \|last=Lawson \|first=J. D. \|title=Some Criteria for a Power Producing Thermonuclear Reactor \|journal=Proceedings of the Physical Society \|volume=70 \|pages=6–10 \|year=1957 \|doi=10.1088/0370-1301/70/1/303}}</ref>		'''The Lawson criterion''' is a fundamental condition in [[Physics:Quantum Fusion\|nuclear fusion]] physics that determines when a plasma can produce net energy.<ref name="Lawson1955">{{cite tech report \|last=Lawson \|first=J. D. \|title=Some criteria for a useful thermonuclear reactor \|date=1955 \|institution=Atomic Energy Research Establishment}}</ref><ref name="Lawson1957">{{Cite journal \|last=Lawson \|first=J. D. \|title=Some Criteria for a Power Producing Thermonuclear Reactor \|journal=Proceedings of the Physical Society \|volume=70 \|pages=6–10 \|year=1957 \|doi=10.1088/0370-1301/70/1/303}}</ref>

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	~~[[File:Fustion triple-product diagram Horvath.jpg\|400px]]~~
	<div style="font-size:90%;">Lawson criterion for various fusion approaches, showing the required triple product for ignition.</div>		<div style="font-size:90%;">Lawson criterion for various fusion approaches, showing the required triple product for ignition.</div>
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			[[File:Fustion triple-product diagram Horvath.jpg\|thumb\|280px\|Quantum Fusion reactions and Lawson criterion.]]
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imported>WikiHarold: Repair Quantum Collection B backlink template

2026-05-08T20:01:45Z

Repair Quantum Collection B backlink template

← Older revision	Revision as of 20:01, 8 May 2026
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	{{Quantum article nav\|previous=Physics:Quantum dot\|previous label=Dot\|next=Physics:Quantum Plasma (fusion context)\|next label=Plasma (fusion context)}}		{{Quantum article nav\|previous=Physics:Quantum dot\|previous label=Dot\|next=Physics:Quantum Plasma (fusion context)\|next label=Plasma (fusion context)}}