两个旋转纳米粒子辐射生热、相互作用力和摩擦力矩中的反常多普勒效应奇异性
Anomalous Doppler Effect Singularities in the Radiative Heat Generation, Interaction Force and Frictional Torque for two Rotating Nanoparticles
摘要：
计算了两个半径为$R$的旋转球形纳米粒子的量子产热、相互作用力和摩擦力矩。与静态情况相反，当粒子之间的辐射热传递存在上限时，对于两个旋转的纳米粒子，当角速度变得等于光子发射速率中的极点时，量子热产生速率发散。由于粒子的反常多普勒效应和互极化，这些极点对于分离$d <d_0= R(3/\varepsilon''(ω_0))^{1/3}$（其中$\varepsilon''(ω_0)$是在表面声子或等离子体激元频率$ω_0$处的粒子材料的介电函数的虚部）而出现，并且它们甚至对于具有损耗的粒子也存在。对于相互作用力和摩擦力矩也存在类似的奇异性。所获得的结果可以是重要的生物医学应用。
英文摘要：
We calculate the quantum heat generation, the interaction force and the frictional torque for two rotating spherical nanoparticles with a radius $R$. In contrast to the static case, when there is an upper limit in the radiative heat transfer between the particles, for two rotating nanoparticles the quantum heat generation rate diverges when the angular velocity becomes equal to the poles in the photon emission rate. These poles arise for the separation $d <d_0= R(3/\varepsilon''(ω_0))^{1/3}$ (where $\varepsilon''(ω_0)$ is the imaginary part of the dielectric function for the particle material at the surface phonon or plasmon polariton frequency $ω_0$ ) due to the anomalous Doppler effect and the mutual polarization of the particles and they exist even for the particles with losses. Similar singularities exist also for the interaction force and the frictional torque. The obtained results can be important for biomedical applications.
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