Chertkov M, Lebedev V
Theoretical Division, LANL, Los Alamos, New Mexico 87545, USA.
Phys Rev Lett. 2003 Apr 4;90(13):134501. doi: 10.1103/PhysRevLett.90.134501. Epub 2003 Apr 1.
A theory of a fast binary chemical reaction, A+B-->C, in a statistically stationary bounded chaotic flow at large Peclet number Pe and large Damköhler number Da is described. The first stage correspondent to formation of the developed lamellar structure in the bulk part of the flow is terminated by an exponential decay, proportional, variant exp((-lambdat) (where lambda is the Lyapunov exponent of the flow), of the chemicals in the bulk. The second and the third stages are due to the chemicals remaining in the boundary region. During the second stage, the amounts of A and B decay proportional, variant 1/sqrt[t], whereas the decay law during the third stage is exponential, proportional, variant exp((-gammat), where gamma approximately lambda/sqrt[Pe].
描述了在大佩克莱数Pe和大达姆科勒数Da下，统计平稳有界混沌流中快速二元化学反应A + B→C的理论。对应于在流的主体部分形成发达层状结构的第一阶段，以流主体中化学物质的指数衰减（与变体exp((-λt)成比例，其中λ是流的李雅普诺夫指数）而终止。第二和第三阶段归因于残留在边界区域的化学物质。在第二阶段，A和B的量按与变体1/√t成比例的方式衰减，而第三阶段的衰减规律是指数形式的，与变体exp((-γt)成比例，其中γ≈λ/√Pe。
