Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Potential

作     者：SUNXiao-Jun LUXiao-Xia YANYu-Liang DUANJun-Feng ZHANGJing-Shang 

作者机构：ChinaInstituteofAtomicEnergyP.O.Box275（41）Beijing102413China／／CollegeofPhysicsandInformationTechnologyGuangxiNormalUniversityGuilin541004China ChinaInstituteofAtomicEnergyP.O.Box275（41）Beijing102413China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2005年第43卷第6期

页      面：1099-1104页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

主　　题：原子核裂变 Smoluchowski函数 概率分布 电流扩散 

摘      要：Non-equilibrium fission has been described by diffusion model. In order to describe the diffusion process analytically, the analytical solution of Smoluchowski equation in harmonic oscillator potential is obtained. This analytical solution is able to describe the probability distribution and the diffusive current with the variable x and t. The results indicate that the probability distribution and the diffusive current are relevant to the initial distribution shape, initial position, and the nuclear temperature T; the time to reach the quasi-stationary state is proportional to friction coefficient β, but is independent of the initial distribution status and the nuclear temperature T. The prerequisites of negative diffusive current are justified. This method provides an approach to describe the diffusion process for fissile process in complicated potentials analytically.