摘要翻译：
研究了一个粒子在有限距离上相互作用的自催化反应体系。我们研究了模型的离散颗粒特性对反应速率、猝灭现象和前沿传播等性质的影响，重点讨论了与连续情况的差异。我们引入了一个依赖于相互作用半径和粒子密度的重整化反应速率，并将其与系统的宏观可观测量（如前部速度和前部厚度）联系起来。
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英文标题：
《Discreteness effects in a reacting system of particles with finite
  interaction radius》
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作者：
Stefano Berti, Cristobal Lopez, Davide Vergni and Angelo Vulpiani
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  An autocatalytic reacting system with particles interacting at a finite distance is studied. We investigate the effects of the discrete-particle character of the model on properties like reaction rate, quenching phenomenon and front propagation, focusing on differences with respect to the continuous case. We introduce a renormalized reaction rate depending both on the interaction radius and the particle density, and we relate it to macroscopic observables (e.g., front speed and front thickness) of the system.
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PDF链接：
https://arxiv.org/pdf/704.3037