在整个压力范围内，比环境气体更热/更冷的颗粒上的光泳
Photophoresis on particles hotter/colder than the ambient gas for the entire range of pressures
摘要：
嵌入在气体中的小的、被照亮的气溶胶粒子经历电泳力。大多数近似假设平均粒子表面温度实际上是气体温度。情况可能并非总是如此。如果粒子温度或热辐射场与气体温度（光学薄气体）有很大的不同，那么自由分子状态的近似值平均会高估一个数量级的电泳力，而单个构型的近似值则会高估三个数量级。我们应用辐射平衡条件从以前的文件（文件1）-在自由分子流制度中的电泳处理-滑流制度。滑移流模型考虑了热蠕变、摩擦应力和热应力、气体滑移以及气粒界面处的温度跃变。在极限情况下为消失的努森数-连续极限-我们推导的公式有一个平均误差只有4 \%的数值相比。最后，我们根据Rohatschek的基本思想，在自由分子流和连续极限之间进行插值，提出了一个适用于所有Knudsen数的电泳力方程。
英文摘要：
Small, illuminated aerosol particles embedded in a gas experience a photophoretic force. Most approximations assume the mean particle surface temperature to be effectively the gas temperature. This might not always be the case. If the particle temperature or the thermal radiation field strongly differs from the gas temperature (optically thin gases), given approximations for the free molecule regime overestimate the photophoretic force by an order of magnitude on average and for individual configurations up to three magnitudes. We apply the radiative equilibrium condition from the previous paper (Paper 1) -- where photophoresis in the free molecular flow regime was treated -- to the slip flow regime. The slip-flow model accounts for thermal creep, frictional and thermal stress gas slippage and temperature jump at the gas-particle interface. In the limiting case for vanishing Knudsen numbers -- the continuum limit -- our derived formula has a mean error of only 4 \% compared to numerical values. Eventually, we propose an equation for photophoretic forces for all Knudsen numbers following the basic idea from Rohatschek by interpolating between the free molecular flow and the continuum limit.
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