【摘要】 用非平衡统计计算了无界金属圆柱的介电函数结果表明，电子非弹性散射的柱体表面会影响金属的内禀介电函数当往体半径减小到可与电子的平均自由程相比拟时，介电函数逐渐偏离块体值而依赖于局城位置．除了半径远小于电子平均自由程的区域，介电函数的位置依赖关系十分复杂，尺寸效应可能使介电函数实部和虚部的绝对值都增大；尺寸效应显著地增加介电常数虚部与实部的相对值大小．在高频区域，尺寸效应使得介电函数具有振荡形式的径向分布更多还原

【Abstract】 Dielectric function (DF) of metal cylinder with infinite length has been calculated using nonequilibrium statistical mechanics. The results show that the intrinsic DF of metal will be changed if the cylinder’s surface is inelastic for electron scattering. As the radius of the cylinder decreases to the range of the electron mean free path (MFP), DF deviates from the bulk value and depends on the position in the cylinder gradually. The relation between DF and the position is complicated except when the radius is much smaller than MFP. Size effects may increase both real part ε’ and imaginary part ε’’ of DF and raise effectively the absolute ratio value of ε" to ε’.The radial distribution of oscillatory form of DF is discovered in the range of high frequence due to size effects.更多还原