Randomly Branched Polymers
Polymers may be linear when the monomers are bifunctional, and branched when they are multifunctional. In the latter case, polymerisation is usually accompanied by gelation, i. e. the formation of an infinite, elastic network. In the following, we will by interested in the finite, eventually very large polymers that constitute the sol phase. This is characterized by a very broad distribution in the molecular weights, or polydispersity. The latter is similar to the cluster distribution in the percolation problem. Because of this, effective fractal dimensions are measured, related to both the fractal dimension of every polymer, and to the distribution of molecular weights. after recalling the main results for polydispersity, we review the recent ideas concerning both static and dynamic properties of branched polymer solutions.
KeywordsFractal Dimension Elastic Network Characteristic Molecular Weight Percolation Problem Exclude Volume Interaction
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