Self-consistent model of an annihilation-diffusion reaction with long-range interactions
Self-consistent model of an annihilation-diffusion reaction with long-range interactions
复制标题
具有长程相互作用的湮灭扩散反应的自洽模型
DOI：
10.1103/physreve.55.395
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发表时间：
1996
影响因子：
2.4
通讯作者：
N. Clark
中科院分区：
文献类型：
--
作者：
V. Ginzburg;L. Radzihovsky;N. Clark
我们引入了具有幂律远程相互作用的扩散-湮灭系统的粗粒度流体动力学方程。通过考虑守恒序参量-电荷密度的波动，我们导出了非守恒序参量-总粒子密度的解析可解近似。得到了随机高斯初始条件和系统维数$d \geq 2$的渐近解。计算了大t、中t和小t渐近性，并与现有的标度理论、精确结果和模拟数据进行了比较。
We introduce coarse-grained hydrodynamic equations of motion for diffusion-annihilation system with a power-law long-range interaction. By taking into account fluctuations of the conserved order parameter - charge density - we derive an analytically solvable approximation for the nonconserved order parameter - total particle density. Asymptotic solutions are obtained for the case of random Gaussian initial conditions and for system dimensionality $d \geq 2$. Large-t, intermediate-t and small-t asymptotics were calculated and compared with existing scaling theories, exact results and simulation data.