FLUCTUATIONS AND CORRELATIONS IN A DIFFUSION-REACTION SYSTEM - EXACT HYDRODYNAMICS

被引：55
|
作者：
DOERING, CR
BURSCHKA, MA
HORSTHEMKE, W
机构：
[1] UNIV DUSSELDORF,INST THEORET PHYS 4,W-400 DUSSELDORF 1,GERMANY
[2] CLARKSON UNIV,INST NONLINEAR STUDIES,POTSDAM,NY 13699
[3] SO METHODIST UNIV,DEPT CHEM,DALLAS,TX 75275
[4] SO METHODIST UNIV,CTR NONEQUILIBRIUM STRUCT,DALLAS,TX 75275
来源：
JOURNAL OF STATISTICAL PHYSICS | 1991年 / 65卷 / 5-6期
关键词：
DIFFUSION-REACTION SYSTEM; REACTION KINETICS; NONLINEAR WAVES;
D O I：
10.1007/BF01049592
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present an exact closed formulation of the reversible diffusion-limited coagulation-growth reactions 2A <--> A with irreversible input B --> A in one spatial dimension. The treatment here accommodates spatial as well as temporal variations in the particle density with a complete account of microscopic fluctuations and correlations. Moreover, spatial and/or temporal variations in the transport and reaction coefficients can be included in the model. A general solution to the reversible process is presented, and we explore the phenomenon of wavefront propagation.
引用
收藏
页码：953 / 970
页数：18
相关论文
共 50 条
  • [21] Exact solutions of variable coefficient nonlinear diffusion-reaction equations with a nonlinear convective term
    Mishra, Ajay
    Kumar, Ranjit
    [J]. PHYSICS LETTERS A, 2010, 374 (29) : 2921 - 2924
  • [22] Homogenization of a diffusion-reaction system with surface exchange and evolving hypersurface
    Dobberschutz, Soren
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (03) : 559 - 579
  • [23] COMMENTS ON THE PENETRANT TIME-LAG IN A DIFFUSION-REACTION SYSTEM
    LEYPOLDT, JK
    GOUGH, DA
    [J]. JOURNAL OF PHYSICAL CHEMISTRY, 1980, 84 (09): : 1058 - 1059
  • [24] Diffusion of hydrogen in silicon: Diffusion-reaction model
    Doremus, RH
    [J]. MATERIALS RESEARCH INNOVATIONS, 2000, 4 (01) : 49 - 59
  • [25] Upscaling diffusion-reaction in porous media
    Bourbatache, M. K.
    Millet, O.
    Moyne, C.
    [J]. ACTA MECHANICA, 2020, 231 (05) : 2011 - 2031
  • [26] Class of integrable diffusion-reaction processes
    Alimohammadi, M
    Ahmadi, N
    [J]. PHYSICAL REVIEW E, 2000, 62 (02) : 1674 - 1682
  • [27] A DIFFUSION-REACTION MODEL OF NERVE REGENERATION
    PODHAJSKY, RJ
    MYERS, RR
    [J]. JOURNAL OF NEUROSCIENCE METHODS, 1995, 60 (1-2) : 79 - 88
  • [28] Fractional diffusion-reaction stochastic simulations
    Bayati, Basil S.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2013, 138 (10):
  • [29] Fronts in anomalous diffusion-reaction systems
    Volpert, V. A.
    Nec, Y.
    Nepomnyashchy, A. A.
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 371 (1982):
  • [30] A calcium diffusion-reaction model for facilitation
    Schlumpberger, T
    [J]. COMPUTATIONAL NEUROSCIENCE: TRENDS IN RESEARCH, 1998, : 257 - 260
12345