Cluster Growth Through Monomer Adsorption Processes

• Published in: Communications in theoretical physics Vol. 53; no. 2; pp. 291 - 297
• Main Author: 柯见洪 林振权 陈效双
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.02.2010
• Subjects: 动力学行为; 吸附动力学模型; 吸附模型; 成长过程; 核系统; 输入系统
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/53/2/17

We propose a monomer adsorption model, in which only the monomers are allowed to diffuse and adsorb onto other clusters. By means of the generalized rate equation we investigate the kinetic behavior of the system with a special rate kernel. For the system without monomer input, the concentration aj（t） of the Aj clusters （j 〉 1） asymptotically retains a nonzero quantity, while for the system with monomer input, it decays with time and vanishes finally. We also investigate the kinetics of an interesting model with fixed-rate monomer adsorption. For the ease without monomer source, the evolution of the system will halt at a finite time; while the system evolves infinitely in time in the case with monomer source. Finally, we also suggest a connection between the fixed-rate monomer adsorption systems and growing networks.