Aggregate formation in a system of coagulating and fragmenting particles with mass-dependent diffusion rates.
Aggregate formation in a system of coagulating and fragmenting particles with mass-dependent diffusion rates.
复制标题
具有与质量相关的扩散速率的凝聚和破碎颗粒系统中的聚集体形成。
DOI：
--
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
M. Barma
中科院分区：
文献类型：
--
作者：
R. Rajesh;D. Das;B. Chakraborty;M. Barma
从解析和数值两方面研究了在具有单颗粒破碎的混凝模型中引入与质量有关的扩散速率近似m(-α)的影响。当系统中的质量密度从质量指数分布的相变到质量的幂分布相变时，α=0的模型经历了非平衡相变，除了单个无限聚集外。在有限密度下，对于任何维度的所有α>；0，这种转变被证明是被抑制的。然而，这种转变的特征是以大聚集的形式在有限系统中看到的，并且描述了这种转变的有限大小的标度含义。利用标度变元计算了表征随机选择的粒子具有质量m的稳态概率的指数。全概率分布是在平均场近似下得到的，并发现与一维数值模拟的结果很好地吻合。
The effect of introducing a mass-dependent diffusion rate approximately m(-alpha) in a model of coagulation with single-particle breakup is studied both analytically and numerically. The model with alpha=0 is known to undergo a nonequilibrium phase transition as the mass density in the system is varied from a phase with an exponential distribution of mass to a phase with a power-law distribution of masses in addition to a single infinite aggregate. This transition is shown to be curbed, at finite densities, for all alpha>0 in any dimension. However, a signature of this transition is seen in finite systems in the form of a large aggregate and the finite-size scaling implications of this are characterized. The exponents characterizing the steady-state probability that a randomly chosen site has mass m are calculated using scaling arguments. The full probability distribution is obtained within a mean-field approximation and found to compare well with the results from numerical simulations in one dimension.