Physical Properties of Common Two-Temperature Fusion Plasmas
- Department of Physics, Faculty of Sciences, Arak University, Arak, 38156-8-8349, Iran
- Department of Physics, Shi., C., Islamic Azad University, Shiraz, Iran
Received: 2025-05-31
Revised: 2025-09-09
Accepted: 2025-10-04
Published in Issue 2026-02-28
Published Online: 2025-12-16
Copyright (c) 2025 Mehdi Kavehnia, Hossein Sadeghi, Seyede Nasrin Hosseinimotlagh (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
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Abstract
Here, we investigate thermal relaxation dynamics in dense, non-isothermal plasmas using a binary plasma framework combined with the effective interaction potential method, which is crucial for understanding thermonuclear burn processes. The analysis covers primary fusion fuels, including DT (neutron-yielding) and aneutronic fuels such as D³He and p¹¹B. Electron and ion temperatures (Tₑ and Tᵢ) are considered independently, since intra-species equilibration occurs significantly faster than inter-species energy exchange due to the substantial mass difference. Addressing the computational challenges associated with simulating confined fusion plasmas—arising from multiple coupled physical phenomena—we introduce, for the first time, the effective interaction potential approach as a computationally efficient and accurate method for dense plasma systems. These potentials account for both (i) long-range charge overlap effects and (ii) short-range quantum interactions. Within this framework, we evaluate critical plasma properties, including stopping power, deceleration time, energy transfer coefficients, absorbed energy, and temperature relaxation rates for p¹¹B, D³He, and DT fuels, providing valuable insights into the optimal conditions for thermonuclear performance.
Keywords
- Dense plasma,
- fuel,
- Hot,
- Temperature relaxation,
- Effective interaction potential
References
- Brezinsek, S., Dhard, C. P., & Jakubowski, M. Plasma–surface interaction in the stellarator W7-X: conclusions drawn from operation with graphite plasma-facing components. Nucl. Fusion, 62, 016006 (2022).
- Adlparvar, S., Miraboutalebi, S., Sadat Kiai, S. M., & Rajaee, L. Overdense plasma heating in Wendelstein 7-X (W7-X) stellarator. Fusion Eng. Des., 7, 1965–1970 (2017).
- Wurden, G. A. et al. Magneto-inertial fusion. J. Fusion Energ., 35, 69–77 (2016).
- Ryzhkov, S., & Magneto, V. Inertial fusion and powerful plasma installations: A review. Appl. Sci., 13, 6658 (2023).
- Thio, Y. C. F. et al. Plasma-jet-driven magneto-inertial fusion. Fusion Sci. Technol., 75, 49–52 (2019).
- Ryzhkov, S. V., & Chirkov, A. Y. Alternative fusion fuels and systems. CRC Press, Abingdon, UK (2018).
- Gotchev, O. V. et al. Laser-driven magnetic-flux compression in high-energy-density plasmas. Phys. Rev. Lett., 103, 215004 (2009).
- Riley, D. Generation and characterization of warm dense matter with intense lasers. Plasma Phys. Control. Fusion, 60, 014033 (2017).
- Falk, K. Experimental methods for warm dense matter research. High Power Laser Sci. Eng., 6, e20 (2018).
- Bonitz, M., Dornheim, T., Moldabekov, Z. A., Zhang, S., Hamann, P., Kählert, H., et al. Ab initio simulation of warm dense matter. Phys. Plasmas, 27, 042710 (2020).
- Gourdain, P.-A. The generation of warm dense matter samples using fast magnetic compression. IEEE Trans. Plasma Sci., 43, 2547–2552 (2015).
- Knapp, P., Beckwith, K., Cochrane, K., Clay, R. C. III, & Mattsson, T. Experimental validation of dense plasma transport models using the Z-machine. Sandia National Lab. Tech. Rep. (2019).
- Sinars, D. et al. Review of pulsed power-driven high energy density physics research on Z at Sandia. Phys. Plasmas, 27, 070501 (2020).
- Prenkel, R. T., Silvestri, L. G., Murillo, M. S., & Bergeson, S. D. Temperature relaxation in strongly-coupled binary ionic mixtures. Nat. Commun., 13, 15 (2022).
- Garbett, W. J., & Chapman, D. A. Ignition calculations using a reduced coupled-mode electron-ion energy exchange model. J. Phys.: Conf. Ser., 688, 012019 (2016).
- Faussurier, G., & Blancard, C. Temperature relaxation in dense plasma mixtures. Phys. Rev. E, 94, 033210 (2016).
- Adrian, P. J. et al. Measurements of ion-electron energy-transfer cross section in high-energy-density plasmas. Phys. Rev. E, 106, L053201 (2022).
- Benedict, L. X. et al. Molecular dynamics studies of electron-ion temperature equilibration in hydrogen plasmas within the coupled-mode regime. Phys. Rev. E, 95, 043202 (2017).
- Ma, Q. et al. Extremely low electron-ion temperature relaxation rates in warm dense hydrogen: interplay between quantum electrons and coupled ions. Phys. Rev. Lett., 122, 015001 (2019).
- Svensson, P. et al. Development of a new quantum trajectory molecular dynamics framework. Philos. Trans. A Math. Phys. Eng. Sci., 381, 20220325 (2022).
- Gao, C.-Z. et al. Assessment of the electron-proton energy relaxation rates extracted from molecular dynamics simulations in weakly-coupled hydrogen plasmas. Phys. Rev. E, 107, 015203 (2023).
- Silvestri, L. G., Sprenkle, R. T., Bergeson, S. D., & Murillo, M. S. Relaxation of strongly coupled binary ionic mixtures in the coupled mode regime. Phys. Plasmas, 28, 062302 (2021).
- Dey, A., Chandra, S., Das, C., Mandal, S., & Das, T. Rogue wave generation through nonlinear self-interaction of electrostatic waves in dense plasma. IEEE Trans. Plasma Sci., 50, 1557–1564 (2022).
- Ghosh, T., Pramanick, S., Sarkar, S., Dey, A., & Chandra, S. Chaotic scenario in three-component Fermi plasma. Afr. Rev. Phys., 15, 2020.
- Thakur, S., Das, C., & Chandra, S. Stationary structures in a four-component dense magnetoplasma with lateral perturbations. IEEE Trans. Plasma Sci., 50, 1545–1556 (2022).
- Ballav, S., Das, A., Pramanick, S., & Chandra, S. Plasma shock wave in gamma-ray bursts: Nonlinear phenomena and radiative process. IEEE Trans. Plasma Sci., 50, 1488–1494 (2022).
- Das, A., Ghosh, P., Chandra, S., & Raj, V. Electron acoustic Peregrine breathers in a quantum plasma with 1-D temperature anisotropy. IEEE Trans. Plasma Sci., 50, 1598–1609 (2022).
- Rightley, S., & Baalrud, S. D. Kinetic model for electron-ion transport in warm dense matter. Phys. Rev. E, 103, 063206 (2021).
- Daligault, J. On the quantum Landau collision operator and electron collisions in dense plasmas. Phys. Plasmas, 23, 032706 (2016).
- Baggott, R. A., Rose, S. J., & Mangles, S. P. D. Temperature equilibration due to charge state fluctuations in dense plasmas. Phys. Rev. Lett., 127, 035002 (2021).
- Simoni, J., & Daligault, J. First-principles determination of electron-ion couplings in the warm dense matter regime. Phys. Rev. Lett., 122, 205001 (2019).
- Daligault, J., & Simoni, J. Theory of the electron-ion temperature relaxation rate spanning the hot solid metals and plasma phases. Phys. Rev. E, 100, 043201 (2019).
- Simoni, J., & Daligault, J. Calculation of electron-ion temperature equilibration rates and friction coefficients in plasmas and liquid metals using quantum molecular dynamics. Phys. Rev. E, 101, 013205 (2020).
- Faussurier, G., & Blancard, C. Fast temperature relaxation model in dense plasmas. Phys. Plasmas, 24, 012705 (2017).
- Starrett, C. E. Coulomb log for conductivity of dense plasmas. Phys. Plasmas, 25, 092707 (2018).
- Oloumi, M., Habibi, M., & Hosseinkhani, H. An analysis of the evaluations of Coulomb logarithm and electron–ion relaxation rates in deuterium plasmas across coupling regimes. Plasma Phys. Rep., 47, 1021 (2021).
- Hagelaar, G. J. M., Donko, Z., & Dyatko, N. Modification of the Coulomb logarithm due to electron-neutral collisions. Phys. Rev. Lett., 123, 025004 (2019).
- Fletcher, L. B. et al. Electron-ion temperature relaxation in warm dense hydrogen observed with picosecond resolved x-ray scattering. Front. Phys., 10, 838524 (2022).
- Richardson, A. S. NRL Plasma Formulary. US Naval Research Laboratory, 37 (2020).
- Hayes, A. C. et al. Plasma stopping-power measurements reveal transition from non-degenerate to degenerate plasmas. Nat. Phys., 16, 432 (2019).
- Rygg, J. R. et al. Electron-ion thermal equilibration after spherical shock collapse. Phys. Rev. E, 80, 026403 (2009).
- Ghosh, S., Saha, S., Chakraborty, T., Sadhukhan, K., Bhanja, R., & Chandra, S. Linear and nonlinear properties of electron acoustic waves in a viscous plasma. Afr. Rev. Phys., 15, 90 (2021)
10.57647/jtap.2026.2001.07