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Non-Ohmic谱反常扩散粒子的响应特性:耦合谐振子势情况
引用本文:黄霞,张航. Non-Ohmic谱反常扩散粒子的响应特性:耦合谐振子势情况[J]. 南京师大学报(自然科学版), 2007, 30(1): 44-48
作者姓名:黄霞  张航
作者单位:华北电力大学数理系,北京,102206;南京师范大学物理科学与技术学院,江苏,南京,210097
基金项目:华北电力大学校科研和教改项目
摘    要:研究了具有non-Ohmic谱的反常扩散粒子对谐振子势的响应特性,结果发现对次扩散粒子,系统需要更长的时间达到平衡,而对超扩散粒子,则只要更短的时间就可平衡;特别对超扩散粒子,系统对各种参数值的变化更加敏感,而对次扩散则相对迟钝些.本文提供的分析方法对研究系统在其他外势条件下的响应特性问题将有一定的启发作用.

关 键 词:反常扩散  广义Langevin方程  non-Ohmic谱
文章编号:1001-4616(2007)01-0044-05
收稿时间:2006-02-22
修稿时间:2006-05-08

Response Characteristics of Anomalous Diffusing Particles With Non-Ohmic Spectrum:the Harmonic Potential Case
Huang Xia,Zhang Hang. Response Characteristics of Anomalous Diffusing Particles With Non-Ohmic Spectrum:the Harmonic Potential Case[J]. Journal of Nanjing Normal University(Natural Science Edition), 2007, 30(1): 44-48
Authors:Huang Xia  Zhang Hang
Affiliation:1. Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China;2. School of Physical Science and Technology, Nanjing Normal University, Nanjing 210097, China
Abstract:The response characteristics of a diffusing particle with non-Ohmic spectrum under a harmonic potential are investigated, and it is found that the system takes more time to attain a balance for subdiffusion, and less time for superdiffusion. Particularly, a system of superdiffusion is more sensitive to the changes of different parameters, while for a subdiffusion system it is more obtuse. The method used in this paper is useful for the study of characteristics of the diffusing particles under other external conditions.
Keywords:anomalous diffusion   generalized Langevin equation   non-Ohmic spectrum
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