Modeling of Thermonuclear Fusion Flames: Parametric Transition to Detonation

Peter V. Gordon, Leonid Kagan*, Gregory Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The paper is concerned with the identification of the key mechanisms controlling deflagration-to-detonation transition in a stellar medium. The issue of thermal runaway triggered by positive feedback between the advancing flame and the flame-driven precompression is discussed in the framework of a one-dimensional flame-folding model. The paper is an extension of the authors’ previous study dealing with the non-stoichiometric fusion, (Formula presented.), kinetics (Phys.Rev.E, 103(2021)) over physically more relevant, (Formula presented.), kinetics. Despite this change the runaway effect endures. The mean velocity (Formula presented.) of the pretransition flame does not reach the threshold of Chapman–Jouguet deflagration.

Original languageEnglish
Pages (from-to)3615-3626
Number of pages12
JournalCombustion Science and Technology
Issue number15
StatePublished - 2023


FundersFunder number
Computer Center of Tel Aviv University
Simons Foundation317882
United States-Israel Binational Science Foundation2020-005


    • Supernovae explosions
    • nucleosynthesis
    • parametric deflagration-to-detonation transition
    • thermal runaway of fast flames
    • thermonuclear fusion
    • white dwarfs


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