开放式凝胶反应器中时钟反应的时空行为

Spatio-temporal behaviors of a clock reaction in an open gel reactor.

作者信息

Benyaich Khalid, Erneux Thomas, Métens Stéphane, Villain Sébastien, Borckmans Pierre

机构信息

Chimie Physique Nonlinéaire, CP 231, Université Libre de Bruxelles, Boulevard du Triomphe, B1050, Bruxelles, Belgium.

出版信息

Chaos. 2006 Sep;16(3):037109. doi: 10.1063/1.2219703.

DOI:10.1063/1.2219703

PMID:17014243

Abstract

The concentration profiles along the feeding direction of a one side fed gel reactor are analyzed for the iodate-arsenous acid reaction. Multiplicity of inhomogeneous stationary solutions is derived. It is also shown that such profiles may undergo oscillatory bifurcations under long range activation conditions. The bifurcation diagram is analyzed using a Galerkin approximation, the asymptotic validity of which is discussed.

摘要

针对碘酸盐 - 亚砷酸反应，分析了单侧进料凝胶反应器沿进料方向的浓度分布。推导了非均匀稳态解的多重性。还表明，在长程活化条件下，这种分布可能会经历振荡分岔。使用伽辽金近似对分岔图进行了分析，并讨论了其渐近有效性。