Diffusion-limited coalescence and annihilation in random media

被引:10
作者
Mandache, C
ben-Avraham, D [1 ]
机构
[1] Clarkson Univ, Dept Phys, Potsdam, NY 13699 USA
[2] Clarkson Univ, Clarkson Inst Stat Phys, Potsdam, NY 13699 USA
基金
美国国家科学基金会;
关键词
D O I
10.1063/1.481365
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We study the kinetics of diffusion-limited coalescence, A+A --> A, and annihilation, A+A --> 0, in random media consisting of disconnected domains of reaction. Examples include exciton fusion and annihilation in porous matrices and along polymer chains. We begin with an exact analysis of A+A --> A in a finite segment. This result is applied to coalescence in a random distribution of segment lengths, and the implications for coalescence and annihilation in percolation clusters and other confined geometries are then derived by means of scaling techniques. (C) 2000 American Institute of Physics. [S0021-9606(00)50712-0].
引用
收藏
页码:7735 / 7740
页数:6
相关论文
共 39 条
[1]  
Abramowitz M., 1964, HDB MATH FUNCTIONS
[2]   Universality of a class of annihilation coagulation models [J].
Balboni, D ;
Rey, PA ;
Droz, M .
PHYSICAL REVIEW E, 1995, 52 (06) :6220-6226
[3]   STATICS AND DYNAMICS OF A DIFFUSION-LIMITED REACTION - ANOMALOUS KINETICS, NONEQUILIBRIUM SELF-ORDERING, AND A DYNAMIC TRANSITION [J].
BENAVRAHAM, D ;
BURSCHKA, MA ;
DOERING, CR .
JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) :695-728
[4]   ASYMPTOTICS FOR INTERACTING PARTICLE-SYSTEMS ON ZD [J].
BRAMSON, M ;
GRIFFEATH, D .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1980, 53 (02) :183-196
[5]  
BRAMSON M, 1980, Z ANN PROBAB, V8, P183
[6]   Scaling behavior of diffusion limited annihilation reactions on random media [J].
deAlbuquerque, EL ;
Lyra, ML .
JOURNAL OF CHEMICAL PHYSICS, 1996, 105 (14) :5945-5948
[7]   NUMBER OF DISTINCT SITES VISITED BY A RANDOM-WALK [J].
DONSKER, MD ;
VARADHAN, SRS .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (06) :721-747
[8]   DIFFUSION IN DISORDERED MEDIA [J].
HAVLIN, S ;
BENAVRAHAM, D .
ADVANCES IN PHYSICS, 1987, 36 (06) :695-798
[9]   Reaction-diffusion processes from equivalent integrable quantum chains [J].
Henkel, M ;
Orlandini, E ;
Santos, J .
ANNALS OF PHYSICS, 1997, 259 (02) :163-231
[10]   EQUIVALENCES BETWEEN STOCHASTIC-SYSTEMS [J].
HENKEL, M ;
ORLANDINI, E ;
SCHUTZ, GM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (22) :6335-6344