Entangled fractal clusters forming the lattice animals in irreversible DLCA binary systems

3^rd International Conference on Smart Materials & Structures

March 20-22, 2017 Orlando, USA

Zakiya Shireen and Sujin B Babu

Indian Institute of Technology Delhi, India

Posters & Accepted Abstracts: J Material Sci Eng

Abstract :

Irreversible diffusion limited cluster aggregation (DLCA) of binary sticky spheres was simulated by modifying the Brownian Cluster Dynamics (BCD). We randomly distribute N spheres in a 3D box of size L, the volume fraction is given by �?¦tot=Ï�?/6 (Ntot /L3). We identify NA and NB number of spheres as species A and B in our system both having identical size which undergoes Brownian motion. Irreversible bond formation happens only between intra-species particles, while inter-species particle interact only through hard core repulsions. We observe bigels for certain fraction of A particles. In our study the fraction of B particles is kept greater than A particles, so that B species always percolate (cluster size equal to L) while species A do not percolate below a critical fraction which varies with volume fractions. Thus, by tuning the volume fraction and fraction of A and B particles we were able to regulate the size of the cage and thereby were able to design clusters of a specific size. The aggregation kinetics is well explained by Smoluchowski rate equation. We will also show that the accessible volume of the system increases when compared to the monomeric case, which means that species A is aggregating inside the cage created by B. Contrary to monomeric DLCA we observe that for moderate �?¦tot both the species undergo a transition from lattice animal to the percolation region. This can be observed by the fact that there is a change in fractal dimension from 2 to 2.5 which we have also verified by cluster size distribution. We will also show that A clusters are stuck inside the B percolating cluster and always have a fractal dimension of 2, thus having 2 characteristic length scale for binary system. We will also show that diffusion of one species of particles is hindered by the presence of the other species forming cages.

Biography :

Email: zkshireen836@gmal.com