Evolution behavior of catalytically activated replication–decline in a coagulation process

doi:10.1088/1674-1056/22/9/096802

中国物理B ›› 2013, Vol. 22 ›› Issue (9): 96802-096802.doi: 10.1088/1674-1056/22/9/096802

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Evolution behavior of catalytically activated replication–decline in a coagulation process

高艳^a, 王海锋^a, 张吉东^a, 杨霞^a, 孙茂珠^a, 林振权^b

a Key Laboratory of Ecophysics and Department of Physics, School of Science, Shihezi University, Shihezi 832003, China;
b Department of Physics, Wenzhou University, Wenzhou 325027, China

收稿日期:2012-12-30 修回日期:2013-03-01 出版日期:2013-07-26 发布日期:2013-07-26
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875086 and 11145004).

Evolution behavior of catalytically activated replication–decline in a coagulation process

Gao Yan (高艳)^a, Wang Hai-Feng (王海锋)^a, Zhang Ji-Dong (张吉东)^a, Yang Xia (杨霞)^a, Sun Mao-Zhu (孙茂珠)^a, Lin Zhen-Quan (林振权)^b

a Key Laboratory of Ecophysics and Department of Physics, School of Science, Shihezi University, Shihezi 832003, China;
b Department of Physics, Wenzhou University, Wenzhou 325027, China

Received:2012-12-30 Revised:2013-03-01 Online:2013-07-26 Published:2013-07-26
Contact: Wang Hai-Feng E-mail:whfeng@shzu.edu.cn; hfwang11@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875086 and 11145004).

摘要/Abstract

摘要： We propose a catalytically activated replication-decline model of three species, in which two aggregates of the same species can coagulate themselves, an A aggregate of any size can replicate itself with the help of B aggregates, and the decline of A aggregate occurs under the catalysis of C aggregates. By means of mean-field rate equations, we derive the asymptotic solutions of the aggregate size distribution a_k(t) of species A, which is found to depend strongly on the competition among three mechanisms: the self-coagulation of species A, the replication of species A catalyzed by species B, and the decline of species A catalyzed by species C. When the self-coagulation of species A dominates the system, the aggregate size distribution a_k(t) satisfies the conventional scaling form. When the catalyzed replication process dominates the system, a_k(t) takes the generalized scaling form. When the catalyzed decline process dominates the system, a_k(t) approaches the modified scaling form.

关键词: aggregation, catalytically activated reaction, replication, decline

Abstract: We propose a catalytically activated replication-decline model of three species, in which two aggregates of the same species can coagulate themselves, an A aggregate of any size can replicate itself with the help of B aggregates, and the decline of A aggregate occurs under the catalysis of C aggregates. By means of mean-field rate equations, we derive the asymptotic solutions of the aggregate size distribution a_k(t) of species A, which is found to depend strongly on the competition among three mechanisms: the self-coagulation of species A, the replication of species A catalyzed by species B, and the decline of species A catalyzed by species C. When the self-coagulation of species A dominates the system, the aggregate size distribution a_k(t) satisfies the conventional scaling form. When the catalyzed replication process dominates the system, a_k(t) takes the generalized scaling form. When the catalyzed decline process dominates the system, a_k(t) approaches the modified scaling form.

Key words: aggregation, catalytically activated reaction, replication, decline

中图分类号: (Diffusion of adsorbates, kinetics of coarsening and aggregation)

68.43.Jk

05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 82.20.-w (Chemical kinetics and dynamics) 89.75.Da (Systems obeying scaling laws)

高艳, 王海锋, 张吉东, 杨霞, 孙茂珠, 林振权. Evolution behavior of catalytically activated replication–decline in a coagulation process[J]. 中国物理B, 2013, 22(9): 96802-096802.

Gao Yan (高艳), Wang Hai-Feng (王海锋), Zhang Ji-Dong (张吉东), Yang Xia (杨霞), Sun Mao-Zhu (孙茂珠), Lin Zhen-Quan (林振权). Evolution behavior of catalytically activated replication–decline in a coagulation process[J]. Chin. Phys. B, 2013, 22(9): 96802-096802.

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Evolution behavior of catalytically activated replication–decline in a coagulation process

Evolution behavior of catalytically activated replication–decline in a coagulation process

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