The analytical approach has been proposed for the modeling of the thermal processes during the action of femtosecond laser pulse on metallic (gold) nanoparticle with allowance for the temperature dependences of the electron heat capacity and the electron-phonon coupling factor of gold based on thermal excitation of electron density. This leads to novel dependence of the electron-phonon equal temperature and the coupling factor on the maximal electron temperature. Whole process of femtosecond nanoparticle action has been divided into three stages which include firstly the heating of electron system by pulse, secondly the electron-phonon energy exchange and the establishment of the equal temperature of electrons with lattice, and thirdly the nanoparticle cooling with the corresponding analytical description of each stage. The satisfactory agreement with the computer results for femtosecond pulses validates of used analytical approach. This model can be used for the estimation of laser and nanoparticle parameters in the fields of the applications of femtosecond laser pulses.

已经提出了分析方法来模拟飞秒激光脉冲对金属（金）纳米颗粒作用期间的热过程，同时考虑到电子热容和基于热激发的金的电子-声子耦合因子的温度依赖性电子密度。这导致电子-声子等温和耦合因子对最大电子温度的新依赖性。飞秒纳米粒子的整个作用过程分为三个阶段，首先是电子系统被脉冲加热，其次是电子-声子能量交换并建立电子与晶格等温，第三是纳米粒子冷却与相应的每个阶段的分析描述。与飞秒脉冲的计算机结果的令人满意的一致性验证了所使用的分析方法。该模型可用于飞秒激光脉冲应用领域中激光和纳米粒子参数的估计。