The nonlinear heat conduction equation can be solved by quantum modified heat transfer coefficient in deuterium–tritium (DT) plasma driven by laser above the critical electron temperature. As a result, the electron profile temperature and the heat flux solutions are improved. In this paper, we have studied the subsequent modification of ion temperature due to ion heating by energy transfer between electrons and ions through electron–ion collisions. The differential equation between T_e and T_i, expansion energy of plasma as well as the threshold energy of the laser beam for plasma ignition are renewed by considering quantum modification in electron–ion collision frequency. The achieved results improve the values of the ion temperature and the threshold energy for plasma ignition compared with the values obtained from the calculations using the classical electron–ion collision frequency.

高于临界电子温度的激光驱动的氘-（DT）等离子体中的量子修正传热系数可以解决非线性导热方程。结果，改善了电子轮廓温度和热通量解。在本文中，我们研究了由于电子与离子之间通过电子-离子碰撞而进行的能量转移引起的离子加热而对离子温度造成的后续影响。T _e和T _i之间的微分方程考虑到电子-离子碰撞频率的量子变化，更新了等离子体的膨胀能量以及用于等离子体点火的激光束的阈值能量。与通过使用经典电子-离子碰撞频率的计算获得的值相比，所获得的结果改善了离子点火的离子温度和阈值能量的值。