DIFFUSION-LIMITED 3-BODY REACTIONS IN ONE-DIMENSION

被引:28
|
作者
BENAVRAHAM, D
机构
[1] Department of Physics, Clarkson Institute for Statistical Physics (CISP), Clarkson University, Potsdam
关键词
D O I
10.1103/PhysRevLett.71.3733
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the diffusion-limited reactions 3A --> 2A and 3A --> A in one dimension. The analytic method of interparticle distribution functions is extended to the case where lattice sites can be occupied by more than one particle. The exact leading time behavior of the concentration decay, and the distribution of distances between nearest particles in the long time asymptotic limit are computed. Results of extensive numerical simulations are also presented. From the numerical data, we observe the previously postulated logarithmic corrections to the concentration power-law decay.
引用
收藏
页码:3733 / 3735
页数:3
相关论文
共 50 条
  • [1] DIFFUSION-LIMITED REACTIONS WITH SPONTANEOUS CONVERSION IN ONE-DIMENSION
    PARENT, R
    LHEUREUX, I
    [J]. PHYSICS LETTERS A, 1994, 189 (03) : 154 - 160
  • [2] DIFFUSION-LIMITED REACTIONS IN ONE DIMENSION
    TORNEY, DC
    MCCONNELL, HM
    [J]. JOURNAL OF PHYSICAL CHEMISTRY, 1983, 87 (11): : 1941 - 1951
  • [3] DIFFUSION-LIMITED MANY-BODY REACTIONS IN ONE-DIMENSION AND THE METHOD OF INTERPARTICLE DISTRIBUTION-FUNCTIONS
    BENAVRAHAM, D
    ZHONG, DX
    [J]. CHEMICAL PHYSICS, 1994, 180 (2-3) : 329 - 335
  • [4] DIFFUSION-LIMITED COALESCENCE WITH FINITE REACTION-RATES IN ONE-DIMENSION
    ZHONG, DX
    BENAVRAHAM, D
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (01): : 33 - 44
  • [5] SOME ALGEBRAICALLY SOLVABLE 3-BODY PROBLEMS IN ONE-DIMENSION
    KHARE, A
    BHADURI, RK
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (06): : 2213 - 2223
  • [6] Diffusion-limited reaction in one dimension
    Lythe, Grant
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2006, 222 (1-2) : 159 - 163
  • [7] Diffusion-limited reactions of hard-core particles in one dimension
    Bares, PA
    Mobilia, M
    [J]. PHYSICAL REVIEW E, 1999, 59 (02): : 1996 - 2009
  • [8] REFINED SIMULATIONS OF THE REACTION FRONT FOR DIFFUSION-LIMITED 2-SPECIES ANNIHILATION IN ONE-DIMENSION
    CORNELL, SJ
    [J]. PHYSICAL REVIEW E, 1995, 51 (05) : 4055 - 4064
  • [9] Transparent diffusion-limited aggregation in one dimension
    Kessler, DA
    [J]. PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1998, 77 (05): : 1313 - 1321
  • [10] Diffusion-limited reaction in one dimension:: Paired and unpaired nucleation
    Habib, S
    Lindenberg, K
    Lythe, G
    Molina-París, C
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2001, 115 (01): : 73 - 89