The pivot algorithm is used on a cubic lattice to study comb polymers large enough to have side-chains obeying scaling behaviour. The connectivity of the chain induces the formation of side-chain clusters whose size distribution is investigated as a function of side-chain length n and spacer length m. When an attractive interaction is set between the side-chains, the comb polymer displays the behaviour of an associating polymer below the critical aggregation concentration, as observed experimentally.
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Yannick Rouault (1998) studied this question.