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一维自催化反应中的前沿传播:小颗粒浓度下经典图像的失效。

Front propagation in one-dimensional autocatalytic reactions: the breakdown of the classical picture at small particle concentrations.

作者信息

Mai J, Sokolov IM, Blumen A

机构信息

Theoretische Polymerphysik, Universitat Freiburg, Hermann-Herder Strasse 3, D-79104 Freiburg im Breisgau, Germany.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jul;62(1 Pt A):141-5. doi: 10.1103/physreve.62.141.

DOI:10.1103/physreve.62.141
PMID:11088445
Abstract

The autocatalytic scheme A+B-->2A in a discrete particle system is studied in one dimension via Monte Carlo simulations. We find considerable differences in the results for the front velocities and front forms compared to the classical, continuous picture, which is only valid in the limit of very small reaction probabilities p. Interestingly, we also obtain front propagation velocities fairly below the classical minimal velocity.

摘要

通过蒙特卡罗模拟在一维离散粒子系统中研究了自催化反应方案A + B→2A。我们发现,与仅在非常小的反应概率p的极限情况下有效的经典连续图像相比,前沿速度和前沿形式的结果存在相当大的差异。有趣的是,我们还获得了远低于经典最小速度的前沿传播速度。

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