Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(6): 068201    DOI: 10.1088/1674-1056/21/6/068201
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

Kinetic evolutionary behavior of catalysis-select migration

Wu Yuan-Gang(吴远刚), Lin Zhen-Quan(林振权), and Ke Jian-Hong(柯见洪)
Department of Physics, Wenzhou University, Wenzhou 325035, China
Abstract  We propose a catalysis-select migration driven evolution model of two-species (A- and B-species) aggregates, where one unit of species A migrates to species B under the catalysts of species C, while under the catalysts of species D the reaction will become one unit of species B migrating to species A. Meanwhile the catalyst aggregates of species C perform self-coagulation, as do the species D aggregates. We study this catalysis-select migration driven kinetic aggregation phenomena using the generalized Smoluchowski rate equation approach with C species catalysis-select migration rate kernel K(k;i,j)=Kkij and D species catalysis-select migration rate kernel J(k;i,j)=Jkij. The kinetic evolution behaviour is found to be dominated by the competition between the catalysis-select immigration and emigration, in which the competition is between JD0 and KC0 (D0 and C0 are the initial numbers of the monomers of species D and C, respectively). When JD0-KC0>0, the aggregate size distribution of species A satisfies the conventional scaling form and that of species B satisfies a modified scaling form. And in the case of JD0-KC0<0, species A and B exchange their aggregate size distributions as in the above JD0-KC0>0 case.
Keywords:  catalysis-select migration      kinetic evolution behavior      rate equation      scaling law  
Received:  15 September 2011      Revised:  05 January 2012      Accepted manuscript online: 
PACS:  82.20.-w (Chemical kinetics and dynamics)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  68.43.Jk (Diffusion of adsorbates, kinetics of coarsening and aggregation)  
  89.75.Da (Systems obeying scaling laws)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10875086 and 10775104).
Corresponding Authors:  Lin Zhen-Quan     E-mail:  linzhenquan@yahoo.com.cn

Cite this article: 

Wu Yuan-Gang(吴远刚), Lin Zhen-Quan(林振权), and Ke Jian-Hong(柯见洪) Kinetic evolutionary behavior of catalysis-select migration 2012 Chin. Phys. B 21 068201

[1] Meakin P F 1998 Scaling and Growth Far from Equilibrium (New York: Cambridge University Press)
[2] Zangwill A 1998 Physics at Surface (New York: Cambridge University Press)
[3] Lifshitz I M and Slyozov V V 1961 J. Phys. Chem. Solids 19 35
[4] Bdv A J 1994 Phys. Rep. 43 357
[5] Anderson P W, Arrow k J and Pines D 1988 The Economy as an Evolving Complex System (Redwood: Addison-Wesley)
[6] Brenner Y S, Reijinders J P G and Spithoven A H G M 1988 The Theory of Income and Wealth Distribution (New York: St. Martin Press)
[7] Amaral L A N, Gopikrishnan P, Plerou V and Stanly H E 2001 Physica A 299 127
[8] Schelling T 1971 Math. Soc. 1 61
[9] Ispolatov S, Krapivsky P L and Redner S 1998 Eur. Phys. J. B 2 267
[10] Leyvraz F and Redner S 2002 Phys. Rev. Lett. 88 068301
[11] Ernst M H, Hendriks E M and Ziff R M 1982 J. Phys. A: Math. Gen. 15 l743
[12] Kang K and Redner S 1984 Phys. Rev. Lett. 52 955
[13] Vicsek T and Family F 1984 Phys. Rev. Lett. 52 1669
[14] Meakin P, Vicsek T and Family F 1985 Phys. Rev. B 31 564
[15] Ernst M H and Van Dongen P G J 1985 Phys. Rev. Lett. 54 1396
[16] Chen Z and Redner S 1990 J. Phys. A: Math. Gen. 23 1233
[17] Leyvraz F 2003 Phys. Rep. 383 95
[18] Ke J H and Lin Z Q 2002 Phys. Rev. E 65 051107
[19] Smoluchowski M V 1917 Z. Phys. Chem. Stoechiom. Verwandtschaftsl. 92 215
[20] Chandrasekhar S 1943 Rev. Mod. Phys. 15 1
[21] Leyvraz F and Tschudi H R 1981 J. Phys. A: Math. Gen. 14 3389
[22] Ke J H and Lin Z Q 2002 Phys. Rev. E 66 050102(R)
[23] Ke J H and Lin Z Q 2004 J. Phys. A: Math. Gen. 37 3967
[24] Chen Y, Han A J, Ke J H and Lin Z Q 2006 Chin. Phys. 15 1896
[25] Lin Z Q and Ke J H 2003 Phys. Rev. E 66 031103
[26] Ben-Naim E and Krapivsky P L 2003 Phys. Rev. E 68 031104
[27] Lin Z Q, Ke J H and Ye G X 2006 Phys. Rev. E 75 046113
[28] Wang H F, Lin Z Q and Ke J H 2007 Phys. Rev. E 75 046108
[29] Ben-Naim E and Redner S 2005 J. Stat. Mech. 1 11002
[30] Wang H, Liu G Q, Yue J C, Luan J H and Qin X G 2009 Acta Phys. Sin. 58 137 (in Chinese)
[31] Lin Y F, Zhang G, Zhu H Y, Huang C H, Li A H and Wei Y 2009 Acta Phys. Sin. 58 3909 (in Chinese)
[32] Tang J W, Huang D Z and Yi Y G 2010 Acta Phys. Sin. 59 7769 (in Chinese)
[33] Ben-Naim E and Krapivsky P L 1995 Phys. Rev. E 52 6066
[34] Krapivsky P L 1993 Physica A 198 135
[35] Ke J H and Lin Z Q 2002 Phys. Rev. E 66 062101
[1] Energy levels and magnetic dipole transition parameters for the nitrogen isoelectronic sequence
Mu-Hong Hu(胡木宏), Nan Wang(王楠), Pin-Jun Ouyang(欧阳品均),Xin-Jie Feng(冯新杰), Yang Yang(杨扬), and Chen-Sheng Wu(武晨晟). Chin. Phys. B, 2022, 31(9): 093101.
[2] Pump pulse characteristics of quasi-continuous-wave diode-side-pumped Nd:YAG laser
Zexin Song(宋泽鑫), Qi Bian(卞奇), Yu Shen(申玉), Keling Gong(龚柯菱), Nan Zong(宗楠), Qingshuang Zong(宗庆霜), Yong Bo(薄勇), and Qinjun Peng(彭钦军). Chin. Phys. B, 2022, 31(5): 054208.
[3] Studies on aluminum powder combustion in detonation environment
Jian-Xin Nie(聂建新), Run-Zhe Kan(阚润哲), Qing-Jie Jiao(焦清介), Qiu-Shi Wang(王秋实), Xue-Yong Guo(郭学永), and Shi Yan(闫石). Chin. Phys. B, 2022, 31(4): 044703.
[4] Anomalous Hall effect of facing-target sputtered ferrimagnetic Mn4N epitaxial films with perpendicular magnetic anisotropy
Zeyu Zhang(张泽宇), Qiang Zhang(张强), and Wenbo Mi(米文博). Chin. Phys. B, 2022, 31(4): 047305.
[5] Ultrasound wave propagation in glass-bead packing under isotropic compression and uniaxial shear
Zhi-Gang Zhou(周志刚), Yi-Min Jiang(蒋亦民), Mei-Ying Hou(厚美瑛). Chin. Phys. B, 2017, 26(8): 084502.
[6] Equivalent electron correlations in nonsequential double ionization of noble atoms
Shansi Dong(董善思), Qiujing Han(韩秋静), Jingtao Zhang(张敬涛). Chin. Phys. B, 2017, 26(2): 023202.
[7] Studies on convergence and scaling law of Thomson backscattering spectra in strong fields
Han-Zhang Xie(谢含章), Chun Jiang(蒋纯), Bai-Song Xie(谢柏松). Chin. Phys. B, 2017, 26(12): 124101.
[8] An equivalent circuit model for terahertz quantumcascade lasers: Modeling and experiments
Yao Chen (姚辰), Xu Tian-Hong (徐天鸿), Wan Wen-Jian (万文坚), Zhu Yong-Hao (朱永浩), Cao Jun-Cheng (曹俊诚). Chin. Phys. B, 2015, 24(9): 094208.
[9] Scaling law of single ion-atom impact ionization cross sections of noble gases from He to Xe at strong perturbative energies
Ren Ping-Yuan (任屏源), Zou Xian-Rong (邹贤容), Shao Jian-Xiong (邵剑雄), Wang Shi-Yao (王诗尧), Zhou Man (周满), Zhou Wang (周旺), Yang Ai-Xiang (杨爱香), Yan Peng-Xun (闫鹏勋), Chen Xi-Meng (陈熙萌). Chin. Phys. B, 2015, 24(6): 063402.
[10] A fractal approach to low velocity non-Darcy flow in a low permeability porous medium
Cai Jian-Chao (蔡建超). Chin. Phys. B, 2014, 23(4): 044701.
[11] 227-W output all-fiberized Tm-doped fiber laser at 1908 nm
Hu Zhen-Yue (胡震岳), Yan Ping (闫平), Xiao Qi-Rong (肖起榕), Liu Qiang (柳强), Gong Ma-Li (巩马理). Chin. Phys. B, 2014, 23(10): 104206.
[12] A theoretical and experimental investigation of an in-band pumped gain-switched thulium-doped fiber laser
Zhou Ren-Lai (周仁来), Ju You-Lun (鞠有伦), Zhao Jie (赵杰), Yang Chao(杨超), Wang Yue-Zhu(王月珠). Chin. Phys. B, 2013, 22(6): 064208.
[13] Degradation behaviors of high power GaN-based blue light emitting diodes
Zhong Can-Tao (钟灿涛), Yu Tong-Jun (于彤军), Yan Jian (颜建), Chen Zhi-Zhong (陈志忠), Zhang Guo-Yi (张国义). Chin. Phys. B, 2013, 22(11): 117804.
[14] Calculation of the photoelectron spectra under the scaling transform
Ye Hui-Liang (叶会亮), Wu Yan (吴艳), Zhang Jing-Tao (张敬涛), Shao Chu-Yin (邵初寅). Chin. Phys. B, 2013, 22(1): 013207.
[15] Fluctuations in airport arrival and departure traffic: A network analysis
Li Shan-Mei (李善梅), Xu Xiao-Hao (徐肖豪), Meng Ling-Hang (孟令航 ). Chin. Phys. B, 2012, 21(8): 088901.
No Suggested Reading articles found!