低维凝聚反应:一维亚扩散A+A反应的再研究
Coagulation reaction in low dimensions: Revisiting subdiffusive A+A reactions in one dimension
摘要:
我们提出了一个理论的凝聚反应A+A -> A的粒子亚扩散运动在一维。我们的理论是测试对数值模拟的浓度的$A$粒子作为一个函数的时间("异常动力学“)和粒子间的分布函数作为一个函数的粒子间的距离和时间。我们发现,该理论捕捉到正确的行为渐近,也在早期,它这样做的粒子是近扩散或非常subdiffusive。我们发现,在正常的扩散问题,负责的异常动力学的粒子间的间隙的发展和增长随着时间的推移。这就纠正了我们早先提出的相反的主张。
英文摘要:
We present a theory for the coagulation reaction A+A -> A for particles moving subdiffusively in one dimension. Our theory is tested against numerical simulations of the concentration of $A$ particles as a function of time (``anomalous kinetics'') and of the interparticle distribution function as a function of interparticle distance and time. We find that the theory captures the correct behavior asymptotically and also at early times, and that it does so whether the particles are nearly diffusive or very subdiffusive. We find that, as in the normal diffusion problem, an interparticle gap responsible for the anomalous kinetics develops and grows with time. This corrects an earlier claim to the contrary on our part.
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