English
新闻公告
More
化学进展 2006, Vol. 18 Issue (0203): 142-158 前一篇   后一篇

• 综述与评论 •

介观化学体系中的动力学尺度效应*

侯中怀;辛厚文**   

  1. 中国科学技术大学化学物理系 合肥 230026 
  • 收稿日期:2005-02-15 修回日期:2005-04-01 出版日期:2006-03-24 发布日期:2006-03-24
  • 通讯作者: 辛厚文

Dynamical Size Effect in Mesoscopic Chemical Reaction Systems*

Zhonghuai Hou;Houwen Xin**   

  1. Department of Chemical Physics, University of Science and Technology of China,Hefei 230026,China 
  • Received:2005-02-15 Revised:2005-04-01 Online:2006-03-24 Published:2006-03-24
  • Contact:

    Houwen Xin

以生命和表面催化体系为对象,研究了介观化学体系中内涨落对体系非线性动力学行为的调控作用。内涨落可以诱导随机振荡,其强度在体系处于最佳尺度时会出现一个甚至多个极大值,并且在耦合体系中会得到进一步增强,表现为尺度共振效应、尺度选择效应和双重尺度效应,揭示了介观化学体系中尺度效应的新机制。
The effect of internal noise on mesoscopic chemical dynamics is studied using stochastic simulation and hemical Langevin equations, with special focus on surface catalytic systems and life systems. It is found that internal noise can induce chemical oscillations, in a parameter region subthreshold to deterministic oscillatory dynamics. Specifically, the strength of the noise induced oscillation undergoes one or multiple maxima with the variation of the system size or number of total molecules, and the maximum values can be considerably enhanced when the dynamical elements are coupled together. Such phenomena demonstrate a possible new mechanism of size effect in mesoscopic chemical systems.

中图分类号: 

()

[ 1 ] Nicolis G, Prigogine I. Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order Through Fluctuations. John Wiley &Sons Inc. , 1977
[ 2 ] 辛厚文(Xin H W) . 非线性化学(Nonlinear Chemistry) . 合肥:中国科技大学出版社( Hefei : University of Science and Technology of China Press) , 1999
[ 3 ] Kapman N G. Stochastic Processes in Physics and Chemistry.Amsterdam: North-Holland , 1987
[ 4 ] Gardiner C W. Handbook of Stochastic Methods for Physics ,Chemistry , and the Natural Science. Springer-Verlag , 1983
[ 5 ] Imbihl R , Ertl G. Chem. Rev. , 1995 , 95 : 697 —733
[ 6 ] Hasty J , Dolnik M, Rottschafer V , Collins J J . Phys. Rev.Lett . , 2002 , 88 : art . no. 148101
[ 7 ] Falcke M. Adv. Phys. , 2004 , 53 : 255 —440
[ 8 ] Zhdanov V P , Kasemo B. Surf . Sci . Rep. , 2000 , 39 : 25 —104
[ 9 ] McAdams H H , Arkin A. Trend Genet . , 1999 , 15 : 65 —69
[10] Swain P S , Elowitz M B , Siggia E D. Proc. Natl . Acad. Sci .USA , 2002 , 99 : 12795 —12800
[11] Elowitz M B , Levine A J , Siggia E D , Swain P S. Science ,2002 , 297 : 1183 —1186
[12] Paulsson J . Nature , 2004 , 427 : 415 —418
[13] Rao C V , Wolf D M, Arkin A. Nature , 2002 , 420 : 231 —237
[14] Thattai M, Oudenaarden A V. Proc. Natl . Acad. Sci . USA ,2001 , 98 : 8614 —8619
[15] McAdams H H , Adam A. Proc. Natl . Acad. Sci . USA , 1997 ,94 : 814 —819
[16] Hasty J , Collins J J . Nature Genetics , 2002 , 31 : 13 —14
[17] Blake W J , Kaern M, Cantor C R , Collins J J . Nature , 2003 ,422 : 633 —637
[18] Dunlap J C. Cell , 1999 , 96 : 271 —290
[19] Gonze D , Halloy J , Goldbeter A. Proc. Natl . Acad. Sci . USA ,2002 , 99 : 673 —678
[20] Barkai N , Leibler S. Nature , 2000 , 403 : 267 —268
[21] Vilar J M G, Kueh N Y, Barkai N , Leibler S. Proc. Natl . Acad.Sci . USA , 2002 , 99 :5988 —5992
[22] Suchorski Y, Beben J , James E W, Evans J W, Imbihl R. Phys.Rev. Lett . , 1999 , 82 : 1907 —1910
[23] Sachs C , Hildebrand M, Volkening S , Wintterlin J , Ertl G.Science , 2001 , 293 : 1635 —1638
[24] Slin’ko M M, Ukharskii A A , Peskov N V , Jaeger N I. Catal .Today , 2001 , 70 : 341 —357
[25] Peskov N V , Slinko M M, Jaeger N I. J . Chem. Phys. , 2002 ,116 : 2098 —2106
[26] Hou Z H , Xin H W. J . Chem. Phys. , 2003 , 119 : 11508 —11512
[27] Hou Z H , Xin H W. ChemPhysChem , 2004 , 5 : 407 —410
[28] Gong Y B , Hou Z H , Xin H W. J . Phys. Chem. B , 2004 , 108 :17796 —17799
[29] Gong Y B , Hou Z H , Xin H W. J . Phys. Chem. A , 2005 , 109 :2741 —2745
[30] Wang M S , Hou Z H , Xin H W. J . Phys. A , 2005 , 38 : 145 —152
[31] Wang Z W, Hou Z H , Xin H W. Chem. Phys. Lett . , 2005 ,401 : 307 —311
[32] Li H Y, Hou Z H , Xin H W. Chem. Phys. Lett . , 2005 , 402 :444 —449
[33] 龚玉兵(Gong Y B) , 侯中怀(Hou Z H) , 辛厚文(Xin H W) .中国科学B (Sci . China Ser. B) , 2005 , 2 : 121 —126
[34] Hou Z H , Rao T, Xin H W. J . Chem. Phys. , 2005 , art . no.134708
[35] Zhang J Q , Hou Z H , Xin H W. ChemPhysChem , 2004 , 5 :1041 —1045
[36] Wang M S , Hou Z H , Xin H W. ChemPhysChem , 2004 , 5 :1602 —1605
[37] Gillespie D T. J . Phys. Chem. , 1977 , 81 : 2340 —2361
[38] Gillespie D T. J . Chem. Phys. , 2000 , 113 : 297 —306
[39] Gillespie D T. J . Chem. Phys. , 2001 , 115 : 1716 —1733
[40] Gaspard P. J . Chem. Phys. , 2002 , 117 : 8905 —8916
[41] Gammaitoni L , H? nggi P , Jung P , Marchesoni F. Rev. Mod.Phys. , 1998 , 70 : 223 —285
[42] H? nggi P. ChemPhysChem , 2002 , 3 : 285 —290
[43] Eiswirth M, Rotermund H H. Physica D , 1995 , 84 : 40 —57
[44] B?r M, Meron E , Utzny C. Chaos , 2002 , 12 : 204 —214
[45] Reichert C , Starke J , Eiswirth M. J . Chem. Phys. , 2001 , 115 :4829 —4838
[46] Valden M, Lai X, Goodman D W. Science , 1998 , 281 : 1647 —1650
[47] Seydel R. Practical Bifurcation and Stability Analysis : From Equilibrium to Chaos. 2nd ed. Spriger-Verlag , 1999. Free software on website http://www.bifurcation.de/software.html
[48] Rotstein H G, Korpell N , Zhabotinsky A M, Epstein I R. J .Chem. Phys. , 2003 , 119 : 8824 —8832
[49] Hêfer T. Biophysical J . , 1999 , 77 :1244 —1256
[50] Gracheva M E , Toral R , Gunton J D. J . Theor. Biol . , 2001 ,212 : 111 —125
[51] Gerstner W, Kistler W M. Spike Neuron Models : Single Neurons ,Populations , Plasticity. Cambridge University Press , 2002
[52] Hodgkin L , Huxley A F. J . Physiol . (London) , 1952 , 117 : 500
[53] Fox R F , Lu Y. Phys. Rev. E , 1994 , 49 : 3421 —3431

[1] 李如生,万荣. 非平衡非线性化学[J]. 化学进展, 1996, 8(01): 17-.