EXACT RESULTS FOR A CHEMICAL-REACTION MODEL

被引：51

作者：

CLEMENT, E

LEROUXHUGON, P

SANDER, LM

机构：

[1] UNIV PARIS 06,PHYS SOLIDE GRP,F-75005 PARIS,FRANCE

[2] UNIV PARIS 07,F-75221 PARIS 05,FRANCE

[3] UNIV MICHIGAN,DEPT PHYS,ANN ARBOR,MI 48109

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 67卷 / 12期

关键词：

D O I：

10.1103/PhysRevLett.67.1661

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a model of Fichthorn, Gulari, and Ziff for the reaction A + B --> 0. Their numerical studies showed a transition to a bistable state. We solve the model exactly. Our solution is similar in form to that in diffusion-limited reactions and segregation occurs for low-dimensional substrates. The transition to bistability and saturation for finite-size systems at low desorption probability depend on dimension. The power spectrum of the saturation and the reaction rate are different: The first is universal and the other is to the geometry of the substrate.

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页码：1661 / 1664

页数：4

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