【摘要】 给出了扩散项为常数,漂移项为谐振子位势形式的Smoluchowski方程的解析解。该解在任意时刻满足归一性,包含了目前已知的其他情况下的解析解,且推导过程简单,不作任何假设或近似。同时分析了位阱和位垒两种情况下的长时间变化特征,为实验装置能得到稳定出射束流提供了理论依据。更多还原

【Abstract】 Analytical solution of Smoluchowski equation,which diffusive term is constant and potential is Harmonic Oscillator form,is obtained.This analytical solution does not make any assumptions or approximate analysis,and it includes some explicit expressions for simpler cases.The long time behaviors are analyzed for Harmonic Oscillator potential and barrier,respectively.These properties of behaviors will offer the theoretical foundation,to improve more steady flows of experiments.更多还原