Polymerization with Freezing

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dc.creatorBen-Naim, E.
dc.creatorKrapivsky, P. L.
dc.date2005-07-13
dc.date.accessioned2026-07-07T06:23:11Z
dc.date.available2026-07-07T06:23:11Z
dc.descriptionIrreversible 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, and 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, F_k ~ k^{-gamma}, when the freezing process is sufficiently slow. Different exponents, gamma=1, 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.
dc.description8 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0507313
dc.identifierhttp://arxiv.org/abs/cond-mat/0507313
dc.identifierJ. Phys. Cond. Mat. 17, S4249 (2005)
dc.identifierdoi:10.1088/0953-8984/17/49/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96142
dc.subjectStatistical Mechanics
dc.titlePolymerization with Freezing
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