| 一维Smoluchowski方程的谐振子解析解 |
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| 引用本文： | 孙小军,陆晓.一维Smoluchowski方程的谐振子解析解[J].广西师范大学学报(自然科学版),2007,25(1):13-16. |
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| 作者姓名： | 孙小军 陆晓 |
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| 作者单位： | 1. 广西师范大学,物理与电子工程学院,广西,桂林,541004;中国原子能科学研究院,北京,102413
2. 广西师范大学,物理与电子工程学院,广西,桂林,541004 |
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| 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。
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| 关 键 词： | Smoluchowski方程 谐振子位势 解析解 稳定出射束流 |
| 文章编号： | 1001-6600（2007）01-0013-04 |
| 收稿时间： | 2006-09-10 |
| 修稿时间： | 2006-09-10 |
Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Form |
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| SUN Xiao-jun,LU Xiao.Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Form[J].Journal of Guangxi Normal University(Natural Science Edition),2007,25(1):13-16. |
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| Authors: | SUN Xiao-jun LU Xiao |
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| Institution: | 1. College of Physics and Electronic Engineering,Guangxi Normal University,Guilin 541004,China ; 2. China Institute of Atomic Energy,Beijing 102413,China |
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| 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. |
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| Keywords: | Smoluchowski equation harmonic oscillator analytical solution steady flow |
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