𝔖 Bobbio Scriptorium
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Brushes formed by self-similarly branched polymers and random manifolds

✍ Scribed by Thomas A. Vilgis; Peter Haronska


Book ID
102495921
Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
365 KB
Volume
4
Category
Article
ISSN
1022-1344

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✦ Synopsis


When randomly branched polymers are grafted to a surface, polymer brushes are the result, similarly as well known in the case of linear grafted polymer chains. These brushes behave, however, special, as severe restrictions in the conformation of individual polymers are present. These restrictions are firstly due to the high degree of branching and secondly to the natural maximum stretching ratio of the branched molecules, that is given by H,, = a is the typical size of a monomeric unit, D is the spectral dimension and Mthe total mass of the branched polymer. Brushes cannot exceed this height, and limits on the grafting density as functions of the spectral dimension are investigated. For all thermodynamic situations the minimum area per chain scales as umin = aMD-')lD.