Trapping reaction with mobile traps

被引：24

作者：

Mehra, Vishal ^{[1
]}

Grassberger, Peter ^{[1
]}

机构：

[1] John-von-Neumann Inst. for Computing, Forschungszentrum Jülich, D-52425 Jülich, Germany

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 05期

关键词：

Asymptotic stability - Crystal lattices - Heuristic methods - Mathematical models - Monte Carlo methods - Numerical analysis - Reaction kinetics;

D O I：

10.1103/PhysRevE.65.050101

中图分类号：

学科分类号：

摘要：

We present the Monte Carlo results for the two-species trapping reaction A + B &rarr B with diffusing A and B on lattices in one, two, and three dimensions. We use an algorithm that permits one to simulate the survival probabilities of A particles down to -30 with high accuracy. The results for the survival probability agree much better with the exact asymptotic predictions of Bramson and Lebowitz [Phys. Rev. Lett. 61, 2397 (1988)] than with the heuristics of Kang and Redner [J. Phys. A 17, L451 (1984)]. But there are very large deviations from either, which show that even these simulations are far from asymptotia. This is supported by the rms displacement of A particles, which clearly shows that the asymptotic regime has not been reached, at least for d=2 and d=3. ©2002 The American Physical Society.

引用

页码：1 / 050101