CRITICAL FLUCTUATION UNIVERSALITY IN CHEMICALLY OSCILLATORY SYSTEMS - SOLUBLE MASTER EQUATION

被引:6
作者
DELLEDONNE, M
ORTOLEVA, P
机构
[1] Department of Chemistry, Indiana University, Bloomington, Indiana
关键词
chemical instability; Chemical oscillations; critical fluctuations; critical universality; dissipative structure; limit cycle; master equation; scaling theory;
D O I
10.1007/BF01012895
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Multiple time scale arguments are used to show that near a Hopf bifurcation to a chemical oscillation the dynamics of the system reduces to that of a classic soluble limit cycle system. A birth and death master equation is then introduced and the spectrum of the resulting transition operator is shown to be complex. Exact solutions of the master equation are obtained both for the steady and (for a rather general class of systems) excited" states. Thus a simple basis of universality of critical properties in chemical oscillations is provided. © 1979 Plenum Publishing Corporation."
引用
收藏
页码:473 / 486
页数:14
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