<p>In this study, we investigated the energy balance equation for the steady state of burning plasma to understand better the key parameters affecting fusion ignition conditions. Our analysis focussed on the effects of fuel gain, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\rho $</EquationSource> <EquationSource Format="MATHML"><math> <mi>ρ</mi> </math></EquationSource> </InlineEquation>, impurities and external heating power on the performance metrics, specifically the product of electron density and energy confinement time (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">$n_e\tau _E$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>n</mi> <mi>e</mi> </msub> <msub> <mi>τ</mi> <mi>E</mi> </msub> </mrow> </math></EquationSource> </InlineEquation>), as well as the product of total pressure and energy confinement time (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">$P_{\textrm{Total}}\tau _{E}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>P</mi> <mtext>Total</mtext> </msub> <msub> <mi>τ</mi> <mi>E</mi> </msub> </mrow> </math></EquationSource> </InlineEquation>). Additionally, our results indicate that closed ignition curves can be achieved for specific values of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\rho $</EquationSource> <EquationSource Format="MATHML"><math> <mi>ρ</mi> </math></EquationSource> </InlineEquation>, with a particular trapping fraction for 3.5-MeV <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$\alpha $</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-particles and a specific range of <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$\alpha $</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-particle concentration.</p>

Theoretical insight into the energy balance and the dependence of the product of electron density and energy confinement time on the fuel gain factor in burning hydrogen isotopes plasma

期刊论文
发表日期：

2026年4月20日

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L Rajablou,
S M Motevalli

摘要

In this study, we investigated the energy balance equation for the steady state of burning plasma to understand better the key parameters affecting fusion ignition conditions. Our analysis focussed on the effects of fuel gain, $\rho $ $ρ$ , impurities and external heating power on the performance metrics, specifically the product of electron density and energy confinement time ( $n_e\tau _E$ $n_{e} τ_{E}$ ), as well as the product of total pressure and energy confinement time ( $P_{\textrm{Total}}\tau _{E}$ $P_{Total} τ_{E}$ ). Additionally, our results indicate that closed ignition curves can be achieved for specific values of $\rho $ $ρ$ , with a particular trapping fraction for 3.5-MeV $\alpha $ $α$ -particles and a specific range of $\alpha $ $α$ -particle concentration.