E Ben-Naim and P L Krapivsky 2005 J. Phys.: Condens. Matter 17 S4249 doi:10.1088/0953-8984/17/49/018
Polymerization with freezing
E Ben-Naim1 and P L Krapivsky2
Show affiliationsIrreversible aggregation processes involving reactive and frozen clusters are investigated using the rate equation approach. In aggregation events, two clusters join irreversibly to form a larger cluster; additionally, reactive clusters may spontaneously freeze. Frozen clusters do not participate in merger events. Generally, freezing controls the nature of the aggregation process, as demonstrated by the final distribution of frozen clusters. The cluster mass distribution has a power-law tail, Fk~k−γ, when the freezing process is sufficiently slow. Different exponents, γ = 1 and 3, are found for the constant and the product aggregation rates, respectively. For the latter case, the standard polymerization model, either no gels, or a single gel, or even multiple gels, may be produced.
- PACS
- Subjects
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Soft matter, liquids and polymers
- Dates
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Issue 49 (14 December 2005)
Received 19 July 2005
Published 25 November 2005
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Polymerization with freezing
E Ben-Naim and P L Krapivsky 2005 J. Phys.: Condens. Matter 17 S4249
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