E Ben-Naim and P L Krapivsky 2005 J. Phys. A: Math. Gen. 38 L417 doi:10.1088/0305-4470/38/23/L01
E Ben-Naim1 and P L Krapivsky2
Show affiliationsWe study mean-field percolation with freezing. Specifically, we consider cluster formation via two competing processes: irreversible aggregation and freezing. We find that when the freezing rate exceeds a certain threshold, the percolation transition is suppressed. Below this threshold, the system undergoes a series of percolation transitions with multiple giant clusters ('gels') formed. Giant clusters are not self-averaging as their total number and their sizes fluctuate from realization to realization. The size distribution Fk, of frozen clusters of size k, has a universal tail, Fk ~ k−3. We propose freezing as a practical mechanism for controlling the gel size.
64.60.A- Specific approaches applied to studies of phase transitions
Soft matter, liquids and polymers
Issue 23 (10 June 2005)
Received 19 April 2005
Published 25 May 2005
E Ben-Naim and P L Krapivsky 2005 J. Phys. A: Math. Gen. 38 L417
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