|Table of Contents|

Response Characteristics of Anomalous Diffusing Particles With Non-Ohmic Spectrum:the Harmonic Potential Case(PDF)

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

Issue:
2007年01期
Page:
44-48
Research Field:
物理学
Publishing date:

Info

Title:
Response Characteristics of Anomalous Diffusing Particles With Non-Ohmic Spectrum:the Harmonic Potential Case
Author(s):
Huang Xia1Zhang 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
Keywords:
anom a lous diffusion generalized Langev in equation non-Ohm ic spectrum
PACS:
O414.21
DOI:
-
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

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.

Memo

Memo:
-
Last Update: 2013-05-05