Abstract:
Monte-Carlo simulations of reversible aggregation on a cubic lattice were done by introducing a finite probability (P) of nearest neighbours to form a bond. Depending on the volume fraction of occupied sites (φ) and P we observed different phenomena by monitoring as a function of time the space filling and the distribution of the aggregates and the gel fraction. At smaller values of P the system develops into an equilibrium distribution of aggregates of which the average size increases with increasing φ until above a critical value the system percolates. At larger values of P the system phase separates into two phases with different densities. Above a critical value of φ the system percolates during a finite time. The life time of the gel and the maximum gel fraction were studied as a function of P.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 1st March 2001 and Received in final form 24 April 2001
Rights and permissions
About this article
Cite this article
Gimel, J., Nicolai, T. & Durand, D. Monte-Carlo simulation of transient gel formation and break-up during reversible aggregation. Eur. Phys. J. E 5, 415–422 (2001). https://doi.org/10.1007/s101890170048
Issue Date:
DOI: https://doi.org/10.1007/s101890170048