Information potential and transition to criticality for certain two-species chemical systems

被引:5
作者
Gaveau, B
Moreau, M
Toth, J
机构
[1] Univ Paris 06, Lab Equat Derivees Partielles, F-75252 Paris 05, France
[2] Univ Paris 06, Phys Theor Liquides Lab, F-75252 Paris, France
[3] Univ Agr, Dept Comp Sci, H-2103 Godollo, Hungary
来源
PHYSICA A | 2000年 / 277卷 / 3-4期
关键词
D O I
10.1016/S0378-4371(99)00429-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using the general results of the stochastic theory of chemical systems, we consider a certain model of chemical reactions with two species, for which it is possible to calculate the first passage time explicitly and study the transition to criticality. Our method uses a non-standard Hamilton Jacobi theory for the master equation, introduced initially by Kubo et al. [J. Stat. Phys, 9 (1973) 51], which leads to solvable Hamiltonian systems. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:455 / 468
页数:14
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