REACTION LIMITED CATALYTIC REACTION IN ONE DIMENSION

被引：10

作者：

TAKAYASU, H

INUI, N

机构：

[1] Dept. of Earth Sci., Kobe Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 09期

关键词：

D O I：

10.1088/0305-4470/25/9/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyse a mathematical model of reaction limited catalytic reaction on a one-dimensional lattice, which can be transformed into a system of random walkers with pair annihilation and spontaneous branchings. Time evolution of the correlation function and reaction rate are obtained theoretically and compared with numerical results.

引用

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页码：L585 / L591

页数：7

相关论文

共 17 条

[1] SATURATION TRANSITION IN A MONOMER MONOMER MODEL OF HETEROGENEOUS CATALYSIS [J].

BENAVRAHAM, D ;

CONSIDINE, D ;

MEAKIN, P ;

REDNER, S ;

TAKAYASU, H .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (19) :4297-4312

[2]

Bramson M., 1985, Z WAHRSCH VERW GEBIE, V68, P447

[3] EXACT RESULTS FOR A CHEMICAL-REACTION MODEL [J].

CLEMENT, E ;

LEROUXHUGON, P ;

SANDER, LM .

PHYSICAL REVIEW LETTERS, 1991, 67 (12) :1661-1664

[4] A NONEQUILIBRIUM TRICRITICAL POINT IN THE MONOMER DIMER CATALYSIS MODEL [J].

CONSIDINE, D ;

TAKAYASU, H ;

REDNER, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (22) :L1181-L1186

[5] NOISE-INDUCED BISTABILITY IN A MONTE-CARLO SURFACE-REACTION MODEL - COMMENT [J].

CONSIDINE, D ;

REDNER, S ;

TAKAYASU, H .

PHYSICAL REVIEW LETTERS, 1989, 63 (26) :2857-2857

[6] KINETIC PHASE-TRANSITIONS IN A SURFACE-REACTION MODEL - MEAN-FIELD THEORY [J].

DICKMAN, R .

PHYSICAL REVIEW A, 1986, 34 (05) :4246-4250

[7] CHARACTERIZING KINETICS NEAR A 1ST-ORDER CATALYTIC POISONING TRANSITION [J].

EVANS, JW ;

MIESCH, MS .

PHYSICAL REVIEW LETTERS, 1991, 66 (06) :833-836

[8] RIGOROUS RESULTS ON MATHEMATICAL-MODELS OF CATALYTIC SURFACES [J].

GRANNAN, ER ;

SWINDLE, G .

JOURNAL OF STATISTICAL PHYSICS, 1990, 61 (5-6) :1085-1103

[9] CRITICAL PHENOMENA IN A NONEQUILIBRIUM MODEL OF HETEROGENEOUS CATALYSIS [J].

GRINSTEIN, G ;

LAI, ZW ;

BROWNE, DA .

PHYSICAL REVIEW A, 1989, 40 (08) :4820-4823

[10] MODEL FOR THE FORMATION OF A MICROSCOPIC TURING STRUCTURE - THE FACETING OF PT(110) DURING CATALYTIC-OXIDATION OF CO [J].

IMBIHL, R ;

REYNOLDS, AE ;

KALETTA, D .

PHYSICAL REVIEW LETTERS, 1991, 67 (02) :275-278