Rate laws of the self-induced aggregation kinetics of Brownian particles

• Published in: Physica A 2016-03, Vol.445, p.128-137
• Main Authors: Mondal, Shrabani, Sen, Monoj Kumar, Baura, Alendu, Bag, Bidhan Chandra
• Format: Article
• Language: English
• Subjects: Aggregation kinetics; Brownian particle; Structure factor
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2015.11.001

In this paper we have studied the self induced aggregation kinetics of Brownian particles in the presence of both multiplicative and additive noises. In addition to the drift due to the self aggregation process, the environment may induce a drift term in the presence of a multiplicative noise. Then there would be an interplay between the two drift terms. It may account qualitatively the appearance of the different laws of aggregation process. At low strength of white multiplicative noise, the cluster number decreases as a Gaussian function of time. If the noise strength becomes appreciably large then the variation of cluster number with time is fitted well by the mono exponentially decaying function of time. For additive noise driven case, the decrease of cluster number can be described by the power law. But in case of multiplicative colored driven process, cluster number decays multi exponentially. However, we have explored how the rate constant (in the mono exponentially cluster number decaying case) depends on strength of interference of the noises and their intensity. We have also explored how the structure factor at long time depends on the strength of the cross correlation (CC) between the additive and the multiplicative noises. •Aggregation kinetics is very much sensitive on the nature of multiplicative noise.•The rate constant as a function of noise strength may have optimum behavior.•The rate constant as a function of strength of the interference may also have optimum behavior.•The variation of order parameter and structure factor with noise strength may be non monotonous.•The variation of order parameter and structure factor with the strength of the interference may also be non monotonous.