[1]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(01):44-48.
　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(01):44-48.
点击复制

Non-Ohmic谱反常扩散粒子的响应特性:耦合谐振子势情况()
分享到：

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年01期
页码:
44-48
栏目:
物理学
出版日期:
2007-03-30

文章信息/Info

Title:
Response Characteristics of Anomalous Diffusing Particles With Non-Ohmic Spectrum:the Harmonic Potential Case
作者:
黄 霞1;  张 航2
( 1. 华北电力大学数理系, 北京102206)
( 2. 南京师范大学物理科学与技术学院, 江苏南京210097)
Author(s):
Huang Xia1; Zhang Hang2
1.Department of Mathematics and Physics,North China Electric Power University, Beijing 102206,China
2. School of Phys ical S cien ce and Technology, Nanj ing Norm alUn iversity, Nan jing 210097, Ch ina
关键词:
反常扩散;  广义Langevin方程;  non-Ohmic谱
Keywords:
anom a lous diffusion;  generalized Langev in equation;  non-Ohm ic spectrum
分类号:
O414.21
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.
Abstract:
The response charac teristics o f a diffusing particle w ith non-Ohm ic spectrum under a harm onic potentia l are investigated, and it is found that the system takes m ore tim e to atta in a ba lance for subd iffusion, and less time fo r superd iffus ion. Particular ly, a system of superdiffusion is m ore sens itive to the changes o f d ifferent param eters, wh ile for a subdiffusion system it ism ore obtuse. Them e thod used in th is paper is usefu l for the study o f character istics of the d iffusing particles under o ther exte rnal conditions

参考文献/References:

[ 1] K lafter J, B lum en A, Sh lesingerM F. Stochastic pathw ay to anom alous diffusion[ J]. Phys Rev A, 1987, 35: 3 081-3 085.
[ 2] Zum ofen G, B lum en A, K lafter J. Current flow unde r anom a lous-diffusion cond itions: LÜvy wa lks[ J]. Phys Rev A, 1990,41: 4 558-4 561.
[ 3] T sa llis C, Bukm an D J. Anom alous d iffusion in the presence o f ex ternal fo rces: Exact tim e-dependent so lutions and their the rmostatistica l basis[ J]. Phys Rev E, 1996, 54: R2197-R2220.
[ 4] Com pte A, Jou D. Non-equ ilibrium the rmodynam ics and anom a lous d iffusion[ J]. J Phys A, 1996, 29( 15): 4 321-4 327.
[ 5] Com pte A, Jou D, K atayam a Y. Anom a lous diffusion in linea r shear flow s[ J]. J Phys A, 1997, 30( 4) : 1 023-1 029.
[ 6] Borland L. M icroscop ic dynam ics o f the non linear Fokker-P lank equa tion: A phenom enolog ica l mode l[ J]. Phys Rev E,1998, 57: 6 634-6 642.
[ 7] R igo A, PlastinoA R, CasasM, et a.l Anom alous d iffus ion coupled w ith Verhulst- like grow th dynam ics: Exac t time-dependent solutions[ J]. Phys Le tt A, 2000, 276: 97-102.
[ 8] Kubo R, TodaM, H ashitsum e N. S tatistical Physics II, So lid Sta te Sc iences[M ] . Berlin: Spr ing er-Ve rlag, 1976.
[ 9] Mura lidha rR, Ram krishna D, Nakan ishiH, e t a .l Anom a lous diffusion: A dynam ic pe rspective[ J] . PhysicaA, 1990, 167( 2): 539-546.
[ 10] W angK G, Dong L K, W u X F, et a.l Correlation effects, genera lized B rown ian mo tion and anom a lous d iffusion[ J]. PhysicaA, 1994, 203( 1): 53-61.
[ 11] W ang K G, Tokuyam a M. Nonequilibr ium sta tistica l descr iption of anoma lous diffusion [ J]. Phys ica A, 1999, 265( 3):341-350.
[ 12] Abou B, Bonn D, M eun ier J. Ag ing dynam ics in a co llo ida l g lass[ J] . Phy s Rev E, 2001, 64: 021510-1-021510-6.
[ 13] Be llon L, C iliberto S. Experim ental study of the fluctuation d issipation re lation dur ing an ag ing process[ J]. Phys ica D,2002, 325: 168-169.
[ 14] Zhao Jiang lin, Bao J ingdong. Anom a lous quantum d iffus ion ove r a sadd le po int and app lication to fusion o fm assive nuc lei[ J]. PhysicaA, 2005, 356( 2 /4): 517-524.
[ 15] Kubo R. The fluctua tion-d issipation theorem [ J]. Rep Prog Phys, 1966, 29: 255-269.
[ 16] W eissU. Quantum D issipative System s[M ]. 2nd ed. Singapo re: W o rld Scien tific, 1999.
[ 17] Samko S G, K ilbas A A, M ar ichev O I. Fractional Integra ls and Der iva tives: Theo ry and Applica tions[M ] . N ew York: Gordon and Breach, 1993.

备注/Memo

备注/Memo:
基金项目: 华北电力大学青年教师科研基金资助项目.
作者简介: 黄 霞( 1977) ) , 女, 讲师, 主要从事统计物理的教学与研究. E-m ail:xhuang@ n cepu. edu. cn
更新日期/Last Update: 2013-05-05